Write the name of the place-value of the underlined digit in each number.

Transcription

1 Chapter 1 Key Concepts Write each number in word form. 1.) 45,090,007 2.) 399,604,312,000 Write each number in standard form. 3.) 200,000, ,000, ,000, ,000 4.) 90,000,000,000+ 1,000,000, ,000, ,000, ,000 Write the number in standard form. 5.) Six billion, two hundred twenty-seven thousand, eighty-nine Write the number in expanded form. 6.) 58,021,007,000 Write the name of the place-value of the underlined digit in each number. 7.) 24,789,153 8.). 63,134,072 Write the value of the underlined digit in each number. 9.) 45, ,016,000 Compare each pair of numbers by using >, <, or =. 11.) 4,503,008,000 4,600,012, ) 9,107,200,143 9,107,020,143 Rewrite in order from least to greatest. (2 pts.) 13.) 999,009; 900,452,009; 199,000,000

2 Write the word form of each number and tell the value of the underlined digit. 14.) ) Write each number in standard form. 16.) nine and three hundred thousandths 17.) Write two decimals that are equivalent to the given decimal. 18.) 43.6 Compare each pair of numbers by using >, <, or =. 19.) ) Rewrite in order from least to greatest. 21.) ; ;

3 Chapter 2 Key Concepts Round each number to the underlined place value. Then name the place value. Rounded number Place Value Name 1.) 12,529 2.) 4,176,431 3.) ) Find each sum or difference. Then estimate to check your answer! Be sure to show all of your work including the numbers that you use to estimate. 5.) 258, ,631 6.) 562, ,878 7.) ) ) )

4 11.) Michaela earns $11.75 per hour at her job at a bakery. If she gets a raise of $2.50 per hour, how much will she make? 12.) Mrs. Smith s car gets 3.8 fewer miles per gallon in the city that it does on the highway. If the car gets miles per gallon on the highway, how many miles per gallon does it get in the city? Write each number in word form and expanded form. 13.) 60,057, ) Write in order from least to greatest. 15.) 3.8; 3.045; 3.12 Compare each pair of numbers by using <,>, or =. 16.) )

5 Chapter 3 Key Concepts Identify the multiplication property used in each equation. 1.) 324 x 0 = 0 2.) 7 x (26 x 19) = (7 x 26) x 19 3.) 129 x 1 = ) 61 x 37 = 37 x 61 Use the multiplication properties to decide what number must be on the line. 5.) 8 x (11 x 38) = (8 x 11) x 6.) 71 x = 0 7.) 952 x = ) 84 x = 23 x 84 Use mental math to find each product. 9.) 600 x ) 60 x 3,000 x 1 11.) 900 x ) 5,000 x 300 Estimate each product. Be sure to show the rounded or compatible numbers that you use for your estimation. 13.) 96 x ) 23 x 81 x 4 15.) 5 x 72 x ) 396 x 22 Multiply. Estimate to check your answer. 17.) 78 x 9 18.) 639 x 7 19.) 58 x ) 328 x 42

6 21.) Write 5 4 in expanded form. 22.) Write 4 x 4 x 4 in exponential form. 23.) Write 2 3 in standard form. 24.) Cole sold 7 baseball cards for $15 each and 12 baseball cards for $31 each. How much money did he have from the sale of his baseball cards? Write each number in word form and expanded form. 25.) 709,005, ) Write in order from least to greatest. 27.) 8.3; 8.21; Compare each pair of numbers by using <,>, or =. 28.) ) Add or subtract. 30.) )

7 Chapter 4 Key Concepts Use mental math to find the quotients. 1.) ) 32, ) 300,000 6 Use rounding to estimate each quotient. 4.) ) ) Use compatible numbers to estimate each quotient. 7.) ) ) Find each quotient. You may use graph paper. 10.) ) ) ) ) ) List two factor pairs for each number. 16.) 32 and 17.) 28 and

8 Label each number as prime or composite. 18.) 9 19.) ) ) 33 Find the prime factorization of each number. 22.) ) ) Owen has 52 DVDs. He is putting them into cases that hold 9 DVDs. How many cases can he fill? How many DVDs will be left? Find each product, sum, or difference. 25.) 84 x ) 673 x ) )

9 Chapter 5 Key Concepts Use mental math to find each quotient. 1.) ) 4, ) 54, ) 2,800, Estimate each quotient using compatible numbers. 5.) ) Find each quotient. 7.) ) ) ) ) 6, ) 5,078 22

10 13.) Anya has just opened a flower shop! She ordered 525 roses for Valentines Day. If the roses are divided into 60 bouquets, how many roses will each bouquet have, and how many roses will be left over? 14.) Madison is organizing a party for 56 people. Each table in the banquet room seats nine people. How many tables will she need? 15.) 563 x ) ) ) Write the prime factorization of 64. Round each number to the given place value. 19.) ; tenths 20.) ; thousandths

11 Chapter 6 Key Concepts Translate each algebraic expression into words. 1. n r b 4. c - 7 Write each word phrase as an algebraic expression less than a number 6. 4 times a number 7. 5 more than another number 8. 6 divided by a number Evaluate for x = 3 and x = x x x 12. x /15 Complete each table. Find the value of each expression using the order of operations. 16. (12-4) + 2 x

12 Chapter 7 Key Concepts Use mental math to find each product of quotient. 1.) 10 x ) 1.98 x 1,000 3.) ) Find each product. 5.) 63 x ) 15 x ) 420 x ) 0.56 x ) 5.4 x ) 71.4 x 0.36 Find each quotient. 11.) ) ) ) ) )

13 17.) Hannah has a spool of ribbon at her hair accessories store that is 8.4 feet long. She wants to divide it into 0.7 foot pieces. How many complete 0.7 foot long pieces can she cut? 18.) Phoenix, Arizona is one of the driest cities in the U.S. It receives just 7.56 inches of rain each year. If Phoenix receives the same amount of rain each year, how much rain will it get in 2.5 years? Write each number in word form and expanded form 19.) 40,058, ) Round each number to given place value. 21.) ; tenths 22.) 329,604,023; millions

14 Chapter 8 Key Concepts Describe the relationship between the two lines Name, classify, and measure each angle Name: Classify: Measurement: Name: Classify: Measurement: Classify each triangle by its angles and sides Classify by angles: Classify by sides: Classify by angles: Classify by sides:

15 Find the missing angle measure in each triangle. 7. m X = 61, m Y = 97, m Z = x 8. m A = 22, m B = 109, m C = y 9. Name the polygon. Then tell whether it is regular or irregular. 10. Classify this quadrilateral in as many ways as you can. Find the missing angle measure in each quadrilateral. 11. In quadrilateral QRST: m Q = 78, 12. In quadrilateral ABCD: m A = 99, m R = 140, m S = 27, m T = x. m B= 52, m C = 112, m D = y. Find each product, sum, or difference. Write your answer in simplest form!

16 Chapter 8 Vocabulary Review Match the definition to the corresponding term. Write the letter on the line. One letter will NOT be used. 1. equilateral triangle A. intersecting lines that form right angles 2. ray B. a triangle with no sides of the same length 3. right angle C. a triangle with 2 sides of the same length 4. hexagon D. an angle measuring regular polygon E. a polygon with 6 six sides 6. perpendicular lines F. all sides have equal length and angle measure 7. quadrilateral G. formed by two rays with a common vertex 8. straight angle H. a polygon with 4 sides 9. scalene triangle I. an angle measuring angle J. a triangle with all equal sides K. has one endpoint and extends forever in the other direction

17 Chapter 9 Key Concepts 1.) Use division and multiplication to find 2.) For the fraction 7 2, identify the numerator and two fractions equivalent to 9 6. Show your work!! the denominator. numerator: denominator: Write each mixed number as an improper fraction and each improper fraction as a mixed number ) 7 4.) 3 5 Compare using >, <, or =. Show your work!! Order from least to greatest. 5.) ) ) 2,, 1, Find the Greatest Common Factor (GCF) of each pair of numbers. 8.) 16, 60 9.) 36, 160

18 Write each fraction in simplest form. Show your work!! ) 11.) Write a decimal and a fraction for the shaded portion of each model. 12.) Fraction: 14.) Fraction: 13.) Decimal: 15.) Decimal: Write each fraction as a decimal. Show your work!! 16.) ) Write each decimal as a fraction. Make sure that your answer is in simplest form. Show your work!! 18.) ) ) 9.6

19 21.) Tyrell s Tasty Tacos just received a shipment of 42 gallons of orange juice and 18 gallons of cranberry juice. The juice needs to be poured into equal-sized containers. What is the largest amount of juice that each container can hold of each kind of juice? 22.) At a day camp, there are 56 girls and 42 boys. The campers need to be split into equal groups. Each has either all girls or all boys. What is the greatest number of campers each group can have?

20 Chapter 10 Key Concepts Use a list to find the Least Common Multiple (LCM) of each pair of numbers and and 15 Add or subtract. Give answers in simplest form and/or as mixed numbers Add or subtract. Write each answer as a whole number or a mixed number in simplest form. Estimate to check your answers

21 13. Yesterday, Mrs. Smith canned 7 3 pounds of tomatoes. Today, she canned 9 8 pounds of tomatoes. How much more did she can today than yesterday? 14. During a rainstorm, the water level of Big Muddy Creek rose 6 1 feet. Then it rose another 9 7 feet. How much did it rise in all? Find each product or quotient x Write 0.44 as a fraction in simplest form. 18. Write 5 3 as a decimal number.

22 Chapter 11 Key Concepts Find each product. Write your answer as a mixed number and/or in simplest form x x x x x x 3 3 1

23 Chapter 12 Key Concepts Find the perimeter of each figure. Be sure to use the correct label! Find the area of each figure. Be sure to use the correct label! Find the circumference of a circle whose 7. Find the circumference of a circle radius is 6 in. Use 3.14 for π. whose diameter is 40 mm. Use 3.14 for π.

24 Use the circle at right to answer the following questions. Don t forget your labels! 8. List the center. 9. List two radii. 10. List two chords. 11. List a diameter. 12. List two central angles Name each solid. Be sure to give a complete answer! Name the solid that each net will form when folded up

25 Chapter 14 Key Concepts What is the best unit to weigh each item? Write ounce, pound, or ton. 1. a bag filled with oranges 2. airplane 3. a math textbook What is the best unit to measure the capacity of each item? Write milliliters or liters. 4. jug of milk 5. medicine dropper 6. bath tub 6.) Measure the line segment to the nearest centimeter and millimeter. cm: mm: 7.) Measure the line segment to the nearest inch and ¼ inch. Inch: ¼ inch: Convert each measurement. 8.) 64 oz = lb 9.) 34 ft = yd, ft 10.) 36 qt = gal

26 Convert each measurement. 11.) 71 mm = cm 12.) 0.09 kg = g 13.) 9,023 ml = L Find the elapsed time. Remember to include labels! 14.) Start 4:46 P.M. 15.) Start 5:37 P.M. 16.) Start 8:00 A.M. End 7:00 P.M. End 4:00 A.M. End 3:25 P.M. 17.) Mrs. Smith plans to arrive at the airport 18.) If it is 72 F inside and 29 F outside, how at 10A.M. It is a 1 hour and 20 minute ride by many degrees lower is the temperature car. At what time should she leave home? outside than inside? 19.) Find the change in temperature. 20.) Find the temperature after the change. Morning: - 11 C Afternoon: 15 C Start: 28 F Change: decrease 30 F 21.) Find the product of and ) Find the difference of 33 and 17.9

27 Chapter 16 Key Concepts SHOW YOUR WORK! Write the ratio three different ways. Be sure to write in lowest terms. 1. Six out of 54 teachers computers for 72 students. Give two ratios equal to the given ratio using multiplication and division to : 32 State if the ratios are equal. Show why they are or are not equal ; 18 to :9; 21 to 36 For each figure, write a ratio, decimal, and a percent to represent the shaded portion Ratio: Decimal: Percent: Ratio: Decimal: Percent: Write the percent as a fraction in lowest terms % 10. 6% %

28 Convert each number to a percent. Remember to include labels! Convert each percent to a decimal number % % 17. 3%

29 Chapter 18 Key Concepts In 1-2, use the line graph at right. 1. What was the Museum Admission price in 1991? in 1994? 2. How much did the Museum Admission price increase between 1991 and 1994? Show your work below! In 3-6 use the following set of data: 6, 5, 10, 5, 7, 8, 10, 11, 6, 6, 9, 5, 10, 5, 5 3. Record the data in a tally chart 4. Record the data in a frequency chart 5. Make a line plot of the data 6. Make a stem-and-leaf diagram of the data

30 In 7-10, use the stem-and-leaf diagram of Spring Temperatures. 7. On how many days was the temperature in the forties? Spring Temperatures ( F) 8. What is the mode? 9. What is the median? 10. What is the range of the data? For 11-14, find the mean, median, mode, and range for this set of data: 38, 5, 39, 14, mean: 12. median: 13. mode: 14. range:

31 Chapter 18 Key Concepts Directions: In the space to the right, determine the mean, median, and mode for each data set. mean = 1) 18, 18, 15, 18, 18, 24, 21, 21, 24, 14 median = mode = mean = 2) 94, 69, 84, 69, 90, 75, 94, 90, 90, 9, 5 median = mode = mean = 3) 4, 18, 18, 23, 23, 19, 8, 8, 8, 8, 28 median = mode = mean = 4) 12, 15, 16, 17, 15, 17, 17, 17, 18, 17 median = mode = mean = 5) 16, 3, 3, 3, 8, 24, 16, 9, 11, 11 median = mode = mean = 6) 22, 5, 22, 13, 12, 24, 24, 9, 24, 19 median = mode =

32 mean = 7) 23, 1, 1, 18, 1, 3, 18, 10, 7, 3 median = mode = mean = 8) 23, 10, 2, 6, 10, 14, 1, 19, 8, 19 median = mode = mean = 9) 8, 21, 13, 8, 18, 15, 8, 8, 11, 15 median = mode = mean = 10) 7, 9, 24, 19, 24, 9, 18, 3, 3, 3 median = mode =

33 Chapter 19 Key Concepts Tell if the second figure is a translation, reflection, or rotation of the first. If it is a rotation, state the amount of the rotation (degrees or fraction) Translate the triangle right 3 units 5. Rotate the figure 90. and up 1 unit. 6. Write the coordinates of the original figure in problem #4: Point A: Point B: Point C:

34 7. Reflect the triangle over the x-axis. 8. Reflect the triangle over the y-axis. Write congruent or not congruent for each pair of figures Draw the lines of symmetry then write how many each figure has

35 Chapter 20 Key Concepts Determine the number of possible outcomes. 1) At Paula s Pizza Place, you can order a small, medium or large pizza. Each pizza has 1, 2 or 3 toppings. Create a tree diagram & write the outcomes for ordering 1 pizza and write the outcomes. 2) Barrel racers at a rodeo often have a variety of saddles and bridles. If a rider has 3 saddles and 6 bridles, how many combinations of a saddle and bridle can the rider have? Use the counting principle & show your work! 3) Find the possible outcomes of tossing a number cube and spinning a spinner with 4 different colors. Use the counting principle & show your work! Find the probability of the following. State the probability as a fraction. *Write answer as Probability equation! 4) A jar contains 24 navy, 5 white, 8 orange, and 16 red marbles. You pick a marble without looking. Find the probability of drawing a navy marble. 5) A standard number cube with the number 1 through 6 is rolled. Find the probability of rolling a number greater than 3. 6) One letter is chosen at random from the word BULLDOGS. What is the probability that the letter chosen is the letter L? 7) A jar contains 11 red, 16 violet, 6 green, and 25 white marbles. A marble is drawn at random. Find P(green).

36 A number cube is rolled once. Find the probability of each event. Write your answer as a fraction. 8) P(6) = 9) P(an even number) = 10) P(7) = 11) P(a number less than 5) = A piggy bank contains three quarters, two dimes, two nickels, and one penny. You pick a coin at random. Find each probability. *Simplify probabilities if necessary! 12) P(quarter) 13) P(not dime or nickel) Find the experimental probability. *Write answer as an Experimental Probability equation! 14) You toss a coin 20 times and record 8 tails. Find the experimental probability of the outcome of tails. *Simplify probability if necessary. 15) Naomi won 168 out of 196 games. Find the experimental probability. Write and solve a proportion to make a prediction. 16) A teacher asks 70 random students, Did you see the Reptiles exhibit? Fourteen answer yes. If 1,000 students went on the zoo trip, how many likely saw the exhibit? 17) Out of 300 computers, 22 are defective. How many defective computers would you expect in a group of 30,000?