# Practice Math ACT Test 1. Notes on the Practice Exam

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 Notes on the Practice Exam This practice exam has three major sections to it: test, answer key with hints, and scoring guide. You ll get the most out of this practice if you make the experience as authentic as possible so carefully follow the directions below. Good luck. Directions Find a quiet place to spend the next hour or two. Clear away all distractions and set a timer for 60 minutes. Once you start the timer resist the urge to pause for any reason or to peek ahead at the answers and hints. Once the timer goes off stop all work on test. Use the answer key to correct your test and the scoring guide to estimate your score on this practice exam. Lastly, go back through the exam using the hints to brush up on the ones you missed. Practice Exam 1 1. Which of these numbers is not equal to the others? A B. 1.6% C D E. 16(0.001) 2. At the beginning of January, Molly had \$6000 in her savings account. In February she had 25% more than she did in January, and in March she had 30% more than she did in February. How much money did Molly have in her savings account in March? A. \$3300 B. \$7500 C. \$8250 D. \$9300 E. \$ (-3) (-4) =? A. -99 B C. 97 D. 109 E. 117

2 4. What is the least common denominator of A. 2xyz B. 4x 2 y 2 z C. xy D. 8x 4 y 4 z E. 4xy 1 2xy, 1 x 2 yz, and 1 4xy? 2 5. Six different marching bands will be participating in a parade. If the local high school s band must march first and the state s professional band must march last, how many different orders can the bands march in? A. 4 B. 15 C. 24 D. 360 E Which of the following statements is NOT true? A. All irrational numbers are real numbers. B. All prime numbers are whole numbers. C. All natural numbers are integers. D. All decimals are rational numbers. E. All whole numbers are integers. 7. Solve for x: 3x 5 = 4x + 7 A. 12 B. 2 C D. 2 E Three-fifths of the students in the school orchestra play the violin. If 2 3 of the violin players are girls and 24 girls play violin, how many students are in the orchestra? A. 16 B. 27 C. 36 D. 40 E. 60

3 9. What is the product of and 98,000 written in scientific notation? A B x10 2 C x10-2 D x10-3 E x A grocery store sells 3 lbs of apples for \$6.27. If Maurice goes to the store with \$25 and buys 10 pounds of apples, how much money will he have left over? A. \$4.10 B. \$4.78 C. \$6.19 D. \$20.22 E. \$ Jessica is getting ready for school and needs a pair of socks. In her sock drawer she has 14 white socks, 10 black socks, and 4 navy socks. If the first sock she pulls out of the drawer is white, what is the probability that the second sock she pulls will also be white? A B C D. 1 2 E What is the median of this set of numbers? {16, 20, 34, 19, 14, 12, 21, 28} A. 19 B C. 20 D E To make a solution in chemistry lab, Amanda needs to mix together three different components, Ingredients X, Y, and Z. X, Y, and Z need to be in a ratio of 2:5:7 to get the proper results. How many milliliters of Ingredient Y does Amanda need to make a solution that is 250 ml? A B. 50 C D. 125 E

4 14. Which of the following numbers is the greatest? A. 2 3 B. 121 C. 15 D E Which of the following equations represents the function given in the table? x f(x) A. f(x) = 2x B. f(x) = 2x C. f(x) = 4x D. f(x) = 2x E. f(x) = 4x Which of these is a factor of the polynomial 3x 2 x 2? A. x B. x - 2 C. x + 1 D. 3x + 2 E. 3x What is the value of s (t s) 4t if s = -3 and t = 6? A. -27 B. -15 C. -9 D. 3 E What is the simplified form of (x - 2)(x 2 + 8x + 5)? A. x 3 + 8x 2 + 5x - 2 B. x x x + 10 C. x 3 + 6x 2-11x - 10 D. x 3-2x 2-16x + 10 E. x 3 + 6x 2-9x - 10

5 19. What is the simplest form of the complex fraction 6 + 3x A. 2x x + 3x B. 2x 3 +12x 6 + 3x C. 4x D. x 3 + 2x 2 + 6x +12 6x 2 E x 1 x x 3 + 2? x 20. Jeremy s father s age is 11 less than Jeremy s age squared. If Jeremy s father is 53, how many years older is Jeremy s father than Jeremy? A. 8 B. 42 C. 45 D. 51 E Which of these is a solution to x 3 = 3 2x + 3? A. 2 3 B. 2 3 C. 3 D. 3 2 E Solve the following equation for x : 6(x + 4) = 5 (3x 5) 2 A. 6 B C. 7 D E. 73 3

6 23. A number is subtracted from 7, and then this difference is divided by 4. This quotient is 8 less than the square of that number. What is an equation that represents this relationship? A. 7 x 4 = x 2 8 B. C. D. E. (7 x) = x (x 7) = x (x 7) = 8 x 2 4 (7 x) = 8 x What is the value of f(-1) for the linear function given in the table below? x f(x) A. -3 B. -1 C. 1 D. 2 E If f(x) = 3x 2 + x and g(x) = 2x 1, what is f(g(5))? A. 9 B. 80 C. 159 D. 243 E Ainsley has 23 coins in her purse. If the total value of all her coins is \$1.50 and she only has nickels and dimes, how many dimes does Ainsley have? A. 5 B. 7 C. 10 D. 15 E. 16

7 27. Which of these expressions is equivalent to 3x + 4 A. 2x + 4 3x + 4 B. x 2 + 4x 3x x +16 C. x x 12x D. x 2 + 4x 3x + 4 E. x + 4 3x x x? 28. What is the value of (5 + i)(5 - i)? A i B i C. 24 D. 25 E What is the missing term in the following geometric sequence: 3,, 48, 192 A. 6 B. 8 C. 9 D. 12 E What is the solution set for the equation 3 2x 5 2 = 4? A. B. C. D.! 3 2, 7 \$ " % # 2&! 7\$ " % # 2&! " # 25 6 \$ % &! 17 6, 25 \$ " % # 6 & { } E. 2, 2

8 31. What is the simplest form of 3 6 3? A B C D E. This expression is already in simplest form 32. Which of the following is a root of the polynomial 2x 2 6x + 3? A B C i 2 4 D E A baseball is hit into the air and follows a trajectory that can be modeled by the equation h = 16t t+3, where h is the height in feet of the baseball after t seconds. After it is hit, approximately how many seconds will it take the ball to hit the ground? A B C D E

9 34. What is the slope of any line that is perpendicular to the line 5x 2y = 3? A. 5 2 B. 5 2 C. 2 5 D. 2 5 E What is the vertex of the parabola with the equation y = 2(x + 4) 2 + 8? A. (4, 8) B. (-4, 8) C. (-8, 8) D. (8,4) E. (8, -4) 36. Marta and Janine both start at the point (3, 4). Marta walks 6 units north and 3 units west. Janine walks 5 units south and 8 units east. How many units are the girls from each other when they stop walking? A. 22 B. 26 C. 11 D E. 58

10 37. Three of the vertices of a rectangle are shown on the coordinate plane below. What are the coordinates of the fourth vertex? A. (-1, 2) B. (-1, -4) C. (0, 1) D. (0, -1) E. (3, 2) 38. Martinville is located at the point (7, -3). Geotown is located at the point (-1, 10). There is a filling station exactly halfway between the two cities. What are the coordinates for the filling station? A. (3, 3.5) B. (4, 6.5) C. (5, 5.5) D. (6, 7) E. (8, 13)

11 39. Which of the following graphs represents the inequality 2 < x 5? 40. What is the equation for a circle in the coordinate plane whose center is at (-2, 5) and goes through the point (1, 5)? A. (x + 2) 2 + (y - 5) 2 = 1 B. (x - 2) 2 + (y + 5) 2 = 3 C. (x + 2) 2 + (y - 5) 2 = 3 D. (x - 2) 2 + (y + 5) 2 = 9 E. (x + 2) 2 + (y - 5) 2 = What is the x-intercept of the line 3x 5y =10? A. 5 B. 2 C. 2 D. 3 E. 10 3

12 42. A, B, C, and D are collinear points, where B is between A and C, and C is between B and D. The distance from A to C is 6 units, the distance from B to D is 7 units, and the distance from B to C is 4 units. What is the distance from A to D? A. 9 B. 10 C. 11 D. 13 E An altitude is drawn to the hypotenuse of triangle ABC. If one leg of ABC measures 5 in, what is the length of its hypotenuse? A. 16/3 B. 3 C. 20/3 D. 6 E. 25/3

13 44. A window has the shape of a semicircle on top of a rectangle. The height of the rectangle is 48 inches and the radius of the semicircle is 12 inches. How many square feet of glass are needed to pane the window? A B C D E A right circular cone has a volume of 156 cm 3 and a height of 7 cm. What is the radius of the cone, to the nearest tenth of a centimeter? V cone = 1 3 πr2 h A. 1.5 B. 2.4 C. 3.0 D. 4.6 E. 21.3

14 46. Which of the following is a pair of alternate interior angles? A. 1 and 8 B. 3 and 5 C. 6 and 7 D. 1 and 5 E. 3 and A circle has a circumference of 36π. What is its area? A. 12π B. 18π C. 81π D. 324π E. 1296π 48. Which of the following statements is NOT true? A. All rectangles are parallelograms. B. All quadrilaterals are polygons. C. All trapezoids are parallelograms. D. All squares are rhombuses. E. All parallelograms are quadrilaterals. 49. In trapezoid FHKG, FH HK and FG HK. What is the perimeter of FHKG? A. 27 B. 29 C. 30 D. 31 E. 32

15 50. In the given diagram, KNM measures 40 and NKM measures 115. What is the measure of JLK? A. 20 B. 25 C. 30 D. 35 E One side of an equilateral triangle measures 6 inches. What is the height of the triangle? A. 3 B. 3 3 C. 6 D. 6 3 E What is the measurement of one interior angle in a regular octagon? A. 45 B. 135 C. 180 D. 270 E. 1080

16 53. A spherical ball with a diameter of 12 cm is submerged into a cylindrical can that is completely filled with water, so that some of the water spills out. If the can is 30 cm tall and has a radius of 9 cm, how much water is left in the can when the ball is removed? V Sphere = 4 3 πr3 A. 126π cm 3 B. 288π cm 3 C. 2142π cm 3 D. 2304π cm 3 E. 2430π cm In the diagram shown, DE BC, DE measures 4 units, BC measures 6 units, and AC measures 9 units. What is the measurement of EC? A. 3 B. 5 C. 6 D E A circular pizza with a diameter of 16 inches is cut into 8 equal sized slices. If three slices of the pizza are eaten, what is the area of the remaining pizza? A. 24π B. 40π C. 64π D. 96π E. 160π

17 56. In the diagram below, WZ and XZ are tangent to circle C at points W and X, respectively. If the measure of WZX is 50, what is the measure of XWZ? A. 25 B. 50 C. 65 D. 130 E. Cannot be determined from the information given 57. Which of the following is equivalent to cos(θ) csc(-θ)? A. cot(θ) B. -1 C. tan(θ) D. cot(θ) E An electrical pole casts a shadow that is 15 ft long. If a wire connected to the top of the pole and fastened to the ground at the tip of the shadow makes a 55 angle with the ground, which of the following expressions would represent the height of the pole? A. tan(550 ) 15 B. sin(550 ) C. tan(55 0 ) D. 15 tan(55 0 ) E. 15 sin(55 0 )

18 59. Which of the following is NOT equivalent to cos(495 )? A. -cos(45 ) B. sin(45 ) C. cos(135 ) D. sin(135 ) E. cos(-225 ) 60. What is the period of the function f(x) = 4sin(2x) + 2? A. 2 B. 2π C. 4 D. 4π E. π ANSWER KEY IS ON THE NEXT PAGE

19 Answer Key Question #: Correct Answer Hint 1 C Numbers are much easier to compare if they re all in the same form. Try converting all of them to decimals before you try to compare. 2 E Be careful! You can t just add percents here. Figure out the value for the first month first, then use that value to get the value for the next month. 3 E Remember your order of operations! Exponents first, then multiplication and division, then addition and subtraction. 4 B You can find a least common denominator with algebraic fractions the same way you do with numerical fractions just find the least common multiple of the three denominators. 5 C Since you know two of the bands must march in specific places, there are only four you really need to worry about ordering. 6 D Think very carefully about the definitions of each of these terms. See if you can come up with any counterexamples that show that one of these statements is false. 7 A When you have variables on both sides of an equation, you always want to get all the variable terms on one side and all the constant terms on the other. 8 E Work backwards on this one. Start by figuring out how many total violin players there are. 9 C It may be helpful to convert both of these numbers to scientific notation first before trying to multiply. 10 A You can use a proportion here to figure out how much Maurice spends on apples. But don t forget to read the question and answer what is being asked! 11 C Be careful! Once she pulls out one white sock, there is one less white sock in the drawer, and the total number of socks is one less as well. Be sure to take that into account when you calculate the probability. 12 B Remember, when you have an even number of data points, the median is the AVERAGE of the two middle numbers. 13 C Take a look at the ratio you re given it splits the solution into 14 parts, 5 of which are Ingredient Y. You can use this information to figure out the portion of 250 ml that needs to be Ingredient Y. 14 C Again, numbers in the same form are much easier to compare. Simplify each of these numbers before trying to compare. 15 B Start by looking for a pattern between the numbers in the table. What happens to f(x) as x increases by a certain amount? 16 D Often you can factor a quadratic expression into two binomials being multiplied together.

20 17 D You re given values for s and t, so replace s and t in the expression with those values wherever you see them. Be careful with the negative value for s! 18 C When you re multiplying a binomial by a trinomial, you want to make sure you multiply EVERY term in the binomial by EVERY term in the trinomial. So before simplifying, you should have 6 terms in your expansion. 19 A Fraction bars act like grouping symbols in the order of operations, so simplify the numerator and denominator of the big fraction separately first. 20 C Since we don t know Jeremy s age, pick a variable to represent it. Then you should be able to write an expression for his age based on the information given. 21 E Remember what happens when you have two fractions equal to each other? You can cross multiply and keep the equality! 22 E Be careful with order of operations here! Make sure you distribute before trying to do any adding or subtracting. 23 B Be very careful to read through this problem slowly and determine exactly what each piece is asking. Make sure you re subtracting things in the right order! 24 B Even though there are a couple points missing, you should still be able to find a pattern here. Make sure you test your pattern to make sure it works for all the given points! 25 E Be careful with the order in which you evaluate the functions. Start from the inside and work your way out. 26 B You have two unknown values here, but you have enough information that you should be able to write two equations that can help you find both values. 27 C Remember rule #1 when you re adding fractions find a common denominator! This goes for algebraic fractions as well. When in doubt, you can always multiply the denominators together to get a common denominator. 28 E You can multiply complex numbers like these the same way you multiply binomials. After multiplying, see if anything simplifies. 29 D In a geometric sequence, the terms are multiplied by the same number each time to get the next term. See if you can use the information given to find that number for this sequence. 30 A The first step in solving an absolute value equation is getting the absolute value part by itself on one side. Don t try to simplify within it until you do that! 31 D A radical expression is not in simplest form if there is a radical in the denominator of a fraction, so you ll need to multiply by a conjugate to rationalize the denominator. 32 B This is a quadratic that doesn t factor easily, so your best bet here is to use the

21 quadratic formula. 33 C When the ball hits the ground, its height will be 0. So determine the value of t when h=0. 34 C Remember, perpendicular lines have slopes that are opposite or negative reciprocals. 35 B Recall vertex form of a parabola: y = (x-h) 2 + k, where the vertex is at the point (h,k). 36 D Try drawing a coordinate plane to start, then figure out the coordinates of the points that each girl ends up at. Distance Formula = (x 2 x 1 ) 2 + (y 2 y 1 ) 37 A Remember that rectangles have four right angles at their vertices. That means the sides of a rectangle are perpendicular to each other. 38 A To find the coordinates of midpoint of a line segment in the coordinate plane, just find the average of the x-coordinates and the y-coordinates of the endpoints. 39 B Remember, when an inequality is written like this with the variable BETWEEN two numbers, the possible values are BETWEEN the given numbers. How would this be represented on a number line? 40 E To write the equation for a circle, you need to know the center and radius. You re given the center here, but the second point you re given should make it pretty easy to find the radius! 41 E Remember, the x-intercept is where the graph crosses the x-axis, or where y = 0. So to find the x-intercept, just set y equal to 0 and simplify. 42 A This looks like a lot of words, but taking it one piece at a time and drawing a diagram will make things seem less confusing. 43 E When an altitude is drawn to the hypotenuse of a right triangle, it creates a bunch of similar triangles. You should be able to use this property to find the missing length you need. 44 A Be careful on this one! The measurements are given to you in inches, but the problem wants your answer in FEET. 45 D Make sure you re careful to plug the right values into the right places in the equation. You re given the VOLUME, v, and the HEIGHT, h, and need to find the RADIUS, r. 46 E Interior here refers to the space in between the two lines that the transversal intersects.

22 47 D All you need to know to find the area is the radius of the circle. Circumference is 2πr, so you can use that to find the radius. 48 C A parallelogram has two pairs of opposite sides that are parallel and congruent. Does that fact conflict with any of the statements here? 49 E Based on the information given, you can actually split this trapezoid up into a rectangle and a right triangle. The side you re missing is the hypotenuse of this right triangle, therefore the Pythagorean Theorem may help you out here. 50 B When inscribed angles intercept the same arc, the angles are congruent. You ve also got a pair of vertical angles in here, which are also congruent. Two pairs of congruent angles are all you need to determine that two triangles are similar. 51 B Start by drawing a picture and labeling the information you know about equilateral triangles. 52 B Remember, the sum of the interior angles in a polygon is (n-2) 180, where n is the number of sides of the polygon. 53 C If the spherical ball is completely submerged in the water, the volume of water that spills out will be equal to the volume of the ball. So when the ball is removed, that amount of water will be missing. 54 A Since DE and BC are parallel, we actually have some similar triangles here. See if you can spot them. 55 B Find the area of the whole pizza first. Then think about what portion of the pizza has been eaten and what portion remains, if it s cut into equal slices. 56 C When two tangent segments like WZ and XZ meet at a point outside the circle, they are congruent. This should give you some information about ΔWZX that you can use. 57 A Try rewriting everything in terms of sine and cosine. 58 D With word problems like this, it s always helpful to draw a picture first and label the information you re given. 59 D Remember, cosine repeats itself every 360. So if you subtract 360 from 495, you ll get the same value for cosine. 60 E The period of a trigonometric function is 2 π divided by the value multiplying x.

23 Scoring Guide* Estimated Score Number Correct

24 *The scoring guide is an estimate based on Sophia.org s calculations and the ACT was not involved in the production of this product and does not endorse it.

### Parallel and Perpendicular. We show a small box in one of the angles to show that the lines are perpendicular.

CONDENSED L E S S O N. Parallel and Perpendicular In this lesson you will learn the meaning of parallel and perpendicular discover how the slopes of parallel and perpendicular lines are related use slopes

### Pre-Algebra - MA1100. Topic Lesson Objectives. Variables and Expressions

Variables and Expressions Problem Solving: Using a Problem-Solving Plan Use a four-step plan to solve problems. Choose an appropriate method of computation. Numbers and Expressions Use the order of operations

### of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property

### Geometry Notes PERIMETER AND AREA

Perimeter and Area Page 1 of 57 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter

### Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.

Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used

### Geometry Notes PERIMETER AND AREA

Perimeter and Area Page 1 of 17 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter

### Prep for College Algebra

Prep for College Algebra This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

### EXPONENTS. To the applicant: KEY WORDS AND CONVERTING WORDS TO EQUATIONS

To the applicant: The following information will help you review math that is included in the Paraprofessional written examination for the Conejo Valley Unified School District. The Education Code requires

### Prep for Calculus. Curriculum

Prep for Calculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular

### Higher Education Math Placement

Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication

### Section 2.1 Rectangular Coordinate Systems

P a g e 1 Section 2.1 Rectangular Coordinate Systems 1. Pythagorean Theorem In a right triangle, the lengths of the sides are related by the equation where a and b are the lengths of the legs and c is

### MATHEMATICS GRADE LEVEL VOCABULARY DRAWN FROM SBAC ITEM SPECIFICATIONS VERSION 1.1 JUNE 18, 2014

VERSION 1.1 JUNE 18, 2014 MATHEMATICS GRADE LEVEL VOCABULARY DRAWN FROM SBAC ITEM SPECIFICATIONS PRESENTED BY: WASHINGTON STATE REGIONAL MATH COORDINATORS Smarter Balanced Vocabulary - From SBAC test/item

### (a) 5 square units. (b) 12 square units. (c) 5 3 square units. 3 square units. (d) 6. (e) 16 square units

1. Find the area of parallelogram ACD shown below if the measures of segments A, C, and DE are 6 units, 2 units, and 1 unit respectively and AED is a right angle. (a) 5 square units (b) 12 square units

### Centroid: The point of intersection of the three medians of a triangle. Centroid

Vocabulary Words Acute Triangles: A triangle with all acute angles. Examples 80 50 50 Angle: A figure formed by two noncollinear rays that have a common endpoint and are not opposite rays. Angle Bisector:

### Geometry Unit 7 (Textbook Chapter 9) Solving a right triangle: Find all missing sides and all missing angles

Geometry Unit 7 (Textbook Chapter 9) Name Objective 1: Right Triangles and Pythagorean Theorem In many geometry problems, it is necessary to find a missing side or a missing angle of a right triangle.

### Algebra and Geometry Review (61 topics, no due date)

Course Name: Math 112 Credit Exam LA Tech University Course Code: ALEKS Course: Trigonometry Instructor: Course Dates: Course Content: 159 topics Algebra and Geometry Review (61 topics, no due date) Properties

Chapter Additional Topics in Math In addition to the questions in Heart of Algebra, Problem Solving and Data Analysis, and Passport to Advanced Math, the SAT Math Test includes several questions that are

### Kindergarten TEKS Vocabulary List

Kindergarten TEKS Vocabulary List Addition Equal parts First Half Less than More than Object Ordinal Quantity Same Second Sequence Set Subtraction Third Whole Count Patterns Predict Above Below Circles

### 10.1: Areas of Parallelograms and Triangles

10.1: Areas of Parallelograms and Triangles Important Vocabulary: By the end of this lesson, you should be able to define these terms: Base of a Parallelogram, Altitude of a Parallelogram, Height of a

### Math Content

2012-2013 Math Content PATHWAY TO ALGEBRA I Unit Lesson Section Number and Operations in Base Ten Place Value with Whole Numbers Place Value and Rounding Addition and Subtraction Concepts Regrouping Concepts

### Middle Grades Mathematics 5 9

Middle Grades Mathematics 5 9 Section 25 1 Knowledge of mathematics through problem solving 1. Identify appropriate mathematical problems from real-world situations. 2. Apply problem-solving strategies

### ALGEBRA I A PLUS COURSE OUTLINE

ALGEBRA I A PLUS COURSE OUTLINE OVERVIEW: 1. Operations with Real Numbers 2. Equation Solving 3. Word Problems 4. Inequalities 5. Graphs of Functions 6. Linear Functions 7. Scatterplots and Lines of Best

### Math Grade 11 Assessment Anchors and Eligible Content

Math Grade 11 Assessment Anchors and Eligible Content Pennsylvania Department of Education www.pde.state.pa.us Updated August 2010 M11.A Numbers and Operations M11.A.1 Demonstrate an understanding of numbers,

### MAT 0950 Course Objectives

MAT 0950 Course Objectives 5/15/20134/27/2009 A student should be able to R1. Do long division. R2. Divide by multiples of 10. R3. Use multiplication to check quotients. 1. Identify whole numbers. 2. Identify

### Higher Education Math Placement

Higher Education Math Placement 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry (arith050) Subtraction with borrowing (arith006) Multiplication with carry

### Rockhurst High School Algebra 1 Topics

Rockhurst High School Algebra 1 Topics Chapter 1- Pre-Algebra Skills Simplify a numerical expression using PEMDAS. Substitute whole numbers into an algebraic expression and evaluate that expression. Substitute

### hmhco.com Saxon Algebra 1/2, Algebra 1, and Algebra 2 Scope and Sequence

hmhco.com,, and Scope and Sequence Arithmetic Whole Numbers Know place values through hundred trillions Read and write whole numbers in words and digits Write whole numbers in expanded notation Round whole

### Topics Covered on Geometry Placement Exam

Topics Covered on Geometry Placement Exam - Use segments and congruence - Use midpoint and distance formulas - Measure and classify angles - Describe angle pair relationships - Use parallel lines and transversals

### 2. Simplify. College Algebra Student Self-Assessment of Mathematics (SSAM) Answer Key. Use the distributive property to remove the parentheses

College Algebra Student Self-Assessment of Mathematics (SSAM) Answer Key 1. Multiply 2 3 5 1 Use the distributive property to remove the parentheses 2 3 5 1 2 25 21 3 35 31 2 10 2 3 15 3 2 13 2 15 3 2

### Definitions, Postulates and Theorems

Definitions, s and s Name: Definitions Complementary Angles Two angles whose measures have a sum of 90 o Supplementary Angles Two angles whose measures have a sum of 180 o A statement that can be proven

# 30-60 right triangle, 441-442, 684 A Absolute value, 59 Acute angle, 77, 669 Acute triangle, 178 Addition Property of Equality, 86 Addition Property of Inequality, 258 Adjacent angle, 109, 669 Adjacent

### GEOMETRY 101* EVERYTHING YOU NEED TO KNOW ABOUT GEOMETRY TO PASS THE GHSGT!

GEOMETRY 101* EVERYTHING YOU NEED TO KNOW ABOUT GEOMETRY TO PASS THE GHSGT! FINDING THE DISTANCE BETWEEN TWO POINTS DISTANCE FORMULA- (x₂-x₁)²+(y₂-y₁)² Find the distance between the points ( -3,2) and

### Whole Numbers and Integers (44 topics, no due date)

Course Name: PreAlgebra into Algebra Summer Hwk Course Code: GHMKU-KPMR9 ALEKS Course: Pre-Algebra Instructor: Ms. Rhame Course Dates: Begin: 05/30/2015 End: 12/31/2015 Course Content: 302 topics Whole

### Park Forest Math Team. Meet #5. Algebra. Self-study Packet

Park Forest Math Team Meet #5 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. Geometry: Angle measures in plane figures including supplements and complements 3. Number

### Chapter 1: Essentials of Geometry

Section Section Title 1.1 Identify Points, Lines, and Planes 1.2 Use Segments and Congruence 1.3 Use Midpoint and Distance Formulas Chapter 1: Essentials of Geometry Learning Targets I Can 1. Identify,

### Math Foundations IIB Grade Levels 9-12

Math Foundations IIB Grade Levels 9-12 Math Foundations IIB introduces students to the following concepts: integers coordinate graphing ratio and proportion multi-step equations and inequalities points,

### SECTION 0.11: SOLVING EQUATIONS. LEARNING OBJECTIVES Know how to solve linear, quadratic, rational, radical, and absolute value equations.

(Section 0.11: Solving Equations) 0.11.1 SECTION 0.11: SOLVING EQUATIONS LEARNING OBJECTIVES Know how to solve linear, quadratic, rational, radical, and absolute value equations. PART A: DISCUSSION Much

### 1 foot (ft) = 12 inches (in) 1 yard (yd) = 3 feet (ft) 1 mile (mi) = 5280 feet (ft) Replace 1 with 1 ft/12 in. 1ft

2 MODULE 6. GEOMETRY AND UNIT CONVERSION 6a Applications The most common units of length in the American system are inch, foot, yard, and mile. Converting from one unit of length to another is a requisite

### exponents order of operations expression base scientific notation SOL 8.1 Represents repeated multiplication of the number.

SOL 8.1 exponents order of operations expression base scientific notation Represents repeated multiplication of the number. 10 4 Defines the order in which operations are performed to simplify an expression.

### Lesson List. Unit and Lesson Number Lesson Title Notes

Middle School Pre-Algebra Common Core Appendix Information K 12 has revised Middle School Pre-Algebra to align the course with Common Core State Standards (CCSS). To do this, we created an appendix of

### MyMathLab ecourse for Developmental Mathematics

MyMathLab ecourse for Developmental Mathematics, North Shore Community College, University of New Orleans, Orange Coast College, Normandale Community College Table of Contents Module 1: Whole Numbers and

### PERIMETER AND AREA. In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures.

PERIMETER AND AREA In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures. Perimeter Perimeter The perimeter of a polygon, denoted by P, is the

### Utah Core Curriculum for Mathematics

Core Curriculum for Mathematics correlated to correlated to 2005 Chapter 1 (pp. 2 57) Variables, Expressions, and Integers Lesson 1.1 (pp. 5 9) Expressions and Variables 2.2.1 Evaluate algebraic expressions

### FS Geometry EOC Review

MAFS.912.G-C.1.1 Dilation of a Line: Center on the Line In the figure, points A, B, and C are collinear. http://www.cpalms.org/public/previewresource/preview/72776 1. Graph the images of points A, B, and

### ModuMath Algebra Lessons

ModuMath Algebra Lessons Program Title 1 Getting Acquainted With Algebra 2 Order of Operations 3 Adding & Subtracting Algebraic Expressions 4 Multiplying Polynomials 5 Laws of Algebra 6 Solving Equations

### ALGEBRA READINESS DIAGNOSTIC TEST PRACTICE

1 ALGEBRA READINESS DIAGNOSTIC TEST PRACTICE Directions: Study the examples, work the problems, then check your answers at the end of each topic. If you don t get the answer given, check your work and

### CAMI Education linked to CAPS: Mathematics

- 1 - TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to

### Moore Catholic High School Math Department COLLEGE PREP AND MATH CONCEPTS

Moore Catholic High School Math Department COLLEGE PREP AND MATH CONCEPTS The following is a list of terms and properties which are necessary for success in Math Concepts and College Prep math. You will

### SAT Subject Math Level 2 Facts & Formulas

Numbers, Sequences, Factors Integers:..., -3, -2, -1, 0, 1, 2, 3,... Reals: integers plus fractions, decimals, and irrationals ( 2, 3, π, etc.) Order Of Operations: Arithmetic Sequences: PEMDAS (Parentheses

### Content Area: GEOMETRY Grade 9 th Quarter 1 st Curso Serie Unidade

Content Area: GEOMETRY Grade 9 th Quarter 1 st Curso Serie Unidade Standards/Content Padrões / Conteúdo Learning Objectives Objetivos de Aprendizado Vocabulary Vocabulário Assessments Avaliações Resources

### MDPT - Geometry Practice Problems. 1. ABC is an isosceles triangle with base BC. L1 and L2 are parallel. 1=80. Find 4.

MDPT - Geometry Practice Problems 1. C is an isosceles triangle with base C. L1 and L are parallel. 1=80. Find 4. L1 1 4 a. 80 b. 50 c. 45 d. 60. In the figure, the measure of arc C is 7 π / 4 and O is

### Answer: = π cm. Solution:

Round #1, Problem A: (4 points/10 minutes) The perimeter of a semicircular region in centimeters is numerically equal to its area in square centimeters. What is the radius of the semicircle in centimeters?

### 11-4 Areas of Regular Polygons and Composite Figures

1. In the figure, square ABDC is inscribed in F. Identify the center, a radius, an apothem, and a central angle of the polygon. Then find the measure of a central angle. Center: point F, radius:, apothem:,

### Chapter R - Basic Algebra Operations (69 topics, due on 05/01/12)

Course Name: College Algebra 001 Course Code: R3RK6-CTKHJ ALEKS Course: College Algebra with Trigonometry Instructor: Prof. Bozyk Course Dates: Begin: 01/17/2012 End: 05/04/2012 Course Content: 288 topics

### Algebra 1 Course Title

Algebra 1 Course Title Course- wide 1. What patterns and methods are being used? Course- wide 1. Students will be adept at solving and graphing linear and quadratic equations 2. Students will be adept

### Geometry Essential Curriculum

Geometry Essential Curriculum Unit I: Fundamental Concepts and Patterns in Geometry Goal: The student will demonstrate the ability to use the fundamental concepts of geometry including the definitions

### Geometry and Measurement

The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for

### Sixth Grade Math Pacing Guide Page County Public Schools MATH 6/7 1st Nine Weeks: Days Unit: Decimals B

Sixth Grade Math Pacing Guide MATH 6/7 1 st Nine Weeks: Unit: Decimals 6.4 Compare and order whole numbers and decimals using concrete materials, drawings, pictures and mathematical symbols. 6.6B Find

### MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education)

MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,

### Lesson List

2016-2017 Lesson List Table of Contents Operations and Algebraic Thinking... 3 Number and Operations in Base Ten... 6 Measurement and Data... 9 Number and Operations - Fractions...10 Financial Literacy...14

### 100 Math Facts 6 th Grade

100 Math Facts 6 th Grade Name 1. SUM: What is the answer to an addition problem called? (N. 2.1) 2. DIFFERENCE: What is the answer to a subtraction problem called? (N. 2.1) 3. PRODUCT: What is the answer

### 13. Write the decimal approximation of 9,000,001 9,000,000, rounded to three significant

æ If 3 + 4 = x, then x = 2 gold bar is a rectangular solid measuring 2 3 4 It is melted down, and three equal cubes are constructed from this gold What is the length of a side of each cube? 3 What is the

### Conjectures. Chapter 2. Chapter 3

Conjectures Chapter 2 C-1 Linear Pair Conjecture If two angles form a linear pair, then the measures of the angles add up to 180. (Lesson 2.5) C-2 Vertical Angles Conjecture If two angles are vertical

### Factoring Polynomials

UNIT 11 Factoring Polynomials You can use polynomials to describe framing for art. 396 Unit 11 factoring polynomials A polynomial is an expression that has variables that represent numbers. A number can

### MATH 60 NOTEBOOK CERTIFICATIONS

MATH 60 NOTEBOOK CERTIFICATIONS Chapter #1: Integers and Real Numbers 1.1a 1.1b 1.2 1.3 1.4 1.8 Chapter #2: Algebraic Expressions, Linear Equations, and Applications 2.1a 2.1b 2.1c 2.2 2.3a 2.3b 2.4 2.5

### 10-4 Inscribed Angles. Find each measure. 1.

Find each measure. 1. 3. 2. intercepted arc. 30 Here, is a semi-circle. So, intercepted arc. So, 66 4. SCIENCE The diagram shows how light bends in a raindrop to make the colors of the rainbow. If, what

### Mathematics & the PSAT

Mathematics & the PSAT Mathematics 2 Sections 25 minutes each Section 2 20 multiple-choice questions Section 4 8 multiple-choice PLUS 10 grid-in questions Calculators are permitted - BUT You must think

### Math Placement Test Study Guide. 2. The test consists entirely of multiple choice questions, each with five choices.

Math Placement Test Study Guide General Characteristics of the Test 1. All items are to be completed by all students. The items are roughly ordered from elementary to advanced. The expectation is that

### Algebra 1-2. A. Identify and translate variables and expressions.

St. Mary's College High School Algebra 1-2 The Language of Algebra What is a variable? A. Identify and translate variables and expressions. The following apply to all the skills How is a variable used

### DEFINITIONS. Perpendicular Two lines are called perpendicular if they form a right angle.

DEFINITIONS Degree A degree is the 1 th part of a straight angle. 180 Right Angle A 90 angle is called a right angle. Perpendicular Two lines are called perpendicular if they form a right angle. Congruent

### Quick Reference ebook

This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed

### CAMI Education linked to CAPS: Mathematics

- 1 - TOPIC 1.1 Whole numbers _CAPS Curriculum TERM 1 CONTENT Properties of numbers Describe the real number system by recognizing, defining and distinguishing properties of: Natural numbers Whole numbers

### MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab

MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab MATH 0110 is established to accommodate students desiring non-course based remediation in developmental mathematics. This structure will

### 11-1 Areas of Parallelograms and Triangles. Find the perimeter and area of each parallelogram or triangle. Round to the nearest tenth if necessary.

Find the perimeter and area of each parallelogram or triangle. Round to the nearest tenth if necessary. 2. 1. Use the Pythagorean Theorem to find the height h, of the parallelogram. Each pair of opposite

Table of Contents Sequence List 368-102215 Level 1 Level 5 1 A1 Numbers 0-10 63 H1 Algebraic Expressions 2 A2 Comparing Numbers 0-10 64 H2 Operations and Properties 3 A3 Addition 0-10 65 H3 Evaluating

### of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent.

2901 Clint Moore Road #319, Boca Raton, FL 33496 Office: (561) 459-2058 Mobile: (949) 510-8153 Email: HappyFunMathTutor@gmail.com www.happyfunmathtutor.com GEOMETRY THEORUMS AND POSTULATES GEOMETRY POSTULATES:

### Grade 7 Math Course Lesson Plan: 34 weeks

Grade 7 Math Course Lesson Plan: 34 weeks Welcome to Thinkwell s 7th Grade Math! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson plan is meant to be a guide

### Geometry SOL G.11 G.12 Circles Study Guide

Geometry SOL G.11 G.1 Circles Study Guide Name Date Block Circles Review and Study Guide Things to Know Use your notes, homework, checkpoint, and other materials as well as flashcards at quizlet.com (http://quizlet.com/4776937/chapter-10-circles-flashcardsflash-cards/).

### GEOMETRY CONCEPT MAP. Suggested Sequence:

CONCEPT MAP GEOMETRY August 2011 Suggested Sequence: 1. Tools of Geometry 2. Reasoning and Proof 3. Parallel and Perpendicular Lines 4. Congruent Triangles 5. Relationships Within Triangles 6. Polygons

### Coordinate Algebra 1- Common Core Test -1. Diagnostic. Test. Revised 12/5/13 1:19 pm

Coordinate Algebra 1- Common Core Test -1 Diagnostic Test Revised 12/5/13 1:19 pm 1. A B C is a dilation of triangle ABC by a scale factor of ½. The dilation is centered at the point ( 5, 5). Which statement

### Each pair of opposite sides of a parallelogram is congruent to each other.

Find the perimeter and area of each parallelogram or triangle. Round to the nearest tenth if necessary. 1. Use the Pythagorean Theorem to find the height h, of the parallelogram. 2. Each pair of opposite

### 1. absolute value : The distance from a point on the number line to zero Example: - 4 = 4; 4 = 4

1. absolute value : The distance from a point on the number line to zero - 4 = 4; 4 = 4 2. addition property of opposites : The property which states that the sum of a number and its opposite is zero 5

### 3. If AC = 12, CD = 9 and BE = 3, find the area of trapezoid BCDE. (Mathcounts Handbooks)

EXERCISES: Triangles 1 1. The perimeter of an equilateral triangle is units. How many units are in the length 27 of one side? (Mathcounts Competitions) 2. In the figure shown, AC = 4, CE = 5, DE = 3, and

### 8 th Grade Pre-Algebra Textbook Alignment Revised 4/28/2010

Revised 4/28/2010 September Lesson Number & Name GLCE Code & Skill #1 N.MR.08.10 Calculate weighted averages such as course grades, consumer price indices, and sports ratings. #2 D.AN.08.01 Determine which

### Able Enrichment Centre - Prep Level Curriculum

Able Enrichment Centre - Prep Level Curriculum Unit 1: Number Systems Number Line Converting expanded form into standard form or vice versa. Define: Prime Number, Natural Number, Integer, Rational Number,

### ACT Math Flash Cards. PowerScore. Order of Operations. SAT Preparation. Live Online ACT Course. Full Length ACT Course. How to Study Math Flash Cards

PowerScore ACT Math Flash Cards Formulas, definitions, and concepts for success on the ACT Mathematics Test How to Study Math Flash Cards Review each card, and remove any formulas that you already know.

### Fifth Grade. Scope & Sequence of Lessons. by lesson number

Scope & Sequence of Lessons by lesson number PLACE VALUE AND COUNTING Place value 1 Recognizing numbers less than a million 65 Recognizing tenths and hundredths places 80 Recognizing numbers up through

### GEOMETRY FINAL EXAM REVIEW

GEOMETRY FINL EXM REVIEW I. MTHING reflexive. a(b + c) = ab + ac transitive. If a = b & b = c, then a = c. symmetric. If lies between and, then + =. substitution. If a = b, then b = a. distributive E.

### Chapter 8 Geometry We will discuss following concepts in this chapter.

Mat College Mathematics Updated on Nov 5, 009 Chapter 8 Geometry We will discuss following concepts in this chapter. Two Dimensional Geometry: Straight lines (parallel and perpendicular), Rays, Angles

### MATH Activities ver3

MATH Activities ver3 This content summary list is for the 2011-12 school year. Detailed Content Alignment Documents to State & Common Core Standards are posted on www.pendalearning.com NOTE: Penda continues

### Geometry Course Summary Department: Math. Semester 1

Geometry Course Summary Department: Math Semester 1 Learning Objective #1 Geometry Basics Targets to Meet Learning Objective #1 Use inductive reasoning to make conclusions about mathematical patterns Give

### Perimeter and area formulas for common geometric figures:

Lesson 10.1 10.: Perimeter and Area of Common Geometric Figures Focused Learning Target: I will be able to Solve problems involving perimeter and area of common geometric figures. Compute areas of rectangles,

### Algebra I Pacing Guide Days Units Notes 9 Chapter 1 ( , )

Algebra I Pacing Guide Days Units Notes 9 Chapter 1 (1.1-1.4, 1.6-1.7) Expressions, Equations and Functions Differentiate between and write expressions, equations and inequalities as well as applying order

### Solutions Section J: Perimeter and Area

Solutions Section J: Perimeter and Area 1. The 6 by 10 rectangle below has semi-circles attached on each end. 6 10 a) Find the perimeter of (the distance around) the figure above. b) Find the area enclosed

### Biggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress

Biggar High School Mathematics Department National 5 Learning Intentions & Success Criteria: Assessing My Progress Expressions & Formulae Topic Learning Intention Success Criteria I understand this Approximation

### 12) 13) 14) (5x)2/3. 16) x5/8 x3/8. 19) (r1/7 s1/7) 2

DMA 080 WORKSHEET # (8.-8.2) Name Find the square root. Assume that all variables represent positive real numbers. ) 6 2) 8 / 2) 9x8 ) -00 ) 8 27 2/ Use a calculator to approximate the square root to decimal