# Sample Test Questions

Size: px
Start display at page:

Transcription

1 mathematics Numerical Skills/Pre-Algebra Algebra Sample Test Questions A Guide for Students and Parents act.org/compass

3 ACT Compass Mathematics Tests The ACT Compass Mathematics Tests are organized around five principal content domains: numerical skills/pre-algebra, algebra, college algebra, geometry, and trigonometry. To ensure variety in the content and complexity of items within each domain, ACT Compass includes mathematics items of three general levels of cognitive complexity: basic skills, application, and analysis. A basic skills item can be solved by performing a sequence of basic operations. An application item involves applying sequences of basic operations to novel settings or in complex ways. An analysis item requires students to demonstrate a conceptual understanding of the principles and relationships relevant to particular mathematical operations. Items in each of the content domains sample extensively from these three cognitive levels. Students are permitted to use calculators on all current versions of ACT Compass Mathematics Tests. Calculators must, however, meet ACT specifications, which are the same for ACT Compass and the ACT college readiness assessment. These specifications are updated periodically and can be found at by ACT, Inc. All rights reserved. 1

4 NUMERICAL SKILLS/PRE-ALGEBRA PLACEMENT TEST SAMPLE QUESTIONS Numerical Skills/Pre-algebra and Algebra Tests Numerical Skills/Pre-algebra Placement Test Questions in the Numerical Skills/Pre-algebra Placement Test range in content from basic arithmetic concepts and skills to the knowledge and skills considered prerequisites for a first algebra course. The Numerical Skills/Pre-algebra Placement Test includes items from more than a dozen content areas; however, a majority of the questions come from the following categories: 1. Operations with Integers 2. Operations with Fractions 3. Operations with Decimals 4. Positive Integer Exponents, Square Roots, and Scientific Notation 5. Ratios and Proportions 6. Percentages 7. Averages (Means, Medians, and Modes) Sample items for each of these categories are presented later in this section. Algebra Placement Test The Algebra Placement Test is composed of items from three curricular areas: elementary algebra, coordinate geometry, and intermediate algebra. Each of these three areas is further subdivided into a number of more specific content areas. Overall, the Algebra Placement Test includes items from more than 20 content areas; however, the majority of test questions fall within the following eight content areas: 1. Substituting Values into Algebraic Expressions 2. Setting Up Equations for Given Situations 3. Basic Operations with Polynomials 4. Factoring Polynomials 5. Linear Equations in One Variable 6. Exponents and Radicals 7. Rational Expressions 8. Linear Equations in Two Variables Sample items for each of these categories are presented later in this section by ACT, Inc. All rights reserved. 2

5 NUMERICAL SKILLS/PRE-ALGEBRA PLACEMENT TEST SAMPLE QUESTIONS Numerical Skills/Pre-algebra =? A. 6 B. 24 C. 27 D. 30 E The lowest temperature on a winter morning was 8 F. Later that same day the temperature reached a high of 24 F. By how many degrees Fahrenheit did the temperature increase? A. 3 B. 8 C. 16 D. 24 E If 3 ( 2) + ( 1 1 ) is calculated and the answer reduced to simplest terms, what is the 2 3 denominator of the resulting fraction? A. 24 B. 12 C. 6 D. 4 E ( ) ( ) + =? A B C D. 7 9 E by ACT, Inc. All rights reserved. 3

6 NUMERICAL SKILLS/PRE-ALGEBRA PLACEMENT TEST SAMPLE QUESTIONS 5. Mr. Brown went grocery shopping to buy meat for his annual office picnic. He bought 7 3 pounds of hamburger, pounds of chicken, and 6 1 pounds of steak. How 4 2 many pounds of meat did Mr. Brown buy? A B C D E Four students about to purchase concert tickets for \$18.50 for each ticket discover that they may purchase a block of 5 tickets for \$ How much would each of the 4 save if they can get a fifth person to join them and the 5 people equally divide the price of the 5-ticket block? A. \$ 1.50 B. \$ 2.50 C. \$ 3.13 D. \$10.00 E. \$ In scientific notation, 20, ,400,000 =? A B C D E Saying that 4 < x < 9 is equivalent to saying what about x? A. 0 < x < 5 B. 0 < x < 65 C. 2 < x < 3 D. 4 < x < 9 E. 16 < x < by ACT, Inc. All rights reserved. 4

7 NUMERICAL SKILLS/PRE-ALGEBRA PLACEMENT TEST SAMPLE QUESTIONS 9. What value of x solves the following proportion? 9 6 = 8 x A B C D. 11 E If the total cost of x apples is b cents, what is a general formula for the cost, in cents, of y apples? A. b xy B. x C. D. by xy b by x E. bx y 11. On a math test, 12 students earned an A. This number is exactly 25% of the total number of students in the class. How many students are in the class? A. 15 B. 16 C. 21 D. 30 E This year, 75% of the graduating class of Harriet Tubman High School had taken at least 8 math courses. Of the remaining class members, 60% had taken 6 or 7 math courses. What percent of the graduating class had taken fewer than 6 math courses? A. 0% B. 10% C. 15% D. 30% E. 45% 2014 by ACT, Inc. All rights reserved. 5

8 NUMERICAL SKILLS/PRE-ALGEBRA PLACEMENT TEST SAMPLE QUESTIONS 13. Adam tried to compute the average of his 7 test scores. He mistakenly divided the correct sum of all of his test scores by 6, which yielded 84. What is Adam s correct average test score? A. 70 B. 72 C. 84 D. 96 E A total of 50 juniors and seniors were given a mathematics test. The 35 juniors attained an average score of 80 while the 15 seniors attained an average of 70. What was the average score for all 50 students who took the test? A. 73 B. 75 C. 76 D. 77 E by ACT, Inc. All rights reserved. 6

9 ANSWERS TO NUMERICAL SKILLS/PRE-ALGEBRA PLACEMENT TEST SAMPLE QUESTIONS Correct Answers for Sample Numerical Skills/Pre-algebra Questions Item Number Correct Answer Content Category 1 E Operations with Integers 2 E Operations with Integers 3 B Operations with Fractions 4 C Operations with Fractions 5 A Operations with Decimals 6 B Operations with Decimals 7 A Exponents 8 E Exponents 9 E Ratios and Proportions 10 D Ratios and Proportions 11 E Percentages 12 B Percentages 13 B Averages 14 D Averages 2014 by ACT, Inc. All rights reserved. 7

10 ALGEBRA PLACEMENT TEST SAMPLE QUESTIONS Algebra 1. If x = 3, what is the value of A. 4 B. 2 C. 2 2 x 1 x + 1? D E Doctors use the term maximum heart rate (MHR) when referring to the quantity found by starting with 220 beats per minute and subtracting 1 beat per minute for each year of a person s age. Doctors recommend exercising 3 or 4 times each week for at least 20 minutes with your heart rate increased from its resting heart rate (RHR) to its training heart rate (THR), where THR = RHR +.65(MHR RHR) Which of the following is closest to the THR of a 43-year-old person whose RHR is 54 beats per minute? A. 197 B. C D. E When getting into shape by exercising, the subject s maximum recommended number of heartbeats per minute (h) can be determined by subtracting the subject s age (a) from 220 and then taking 75% of that value. This relation is expressed by which of the following formulas? A. h =.75(220 a) B. h =.75(220) a C. h = a D..75h = 220 a E. 220 =.75(h a) 2014 by ACT, Inc. All rights reserved. 8

11 ALGEBRA PLACEMENT TEST SAMPLE QUESTIONS 4. An airplane flew for 8 hours at an airspeed of x miles per hour (mph), and for 7 more hours at 325 mph. If the average airspeed for the entire flight was 350 mph, which of the following equations could be used to find x? A. x = 2(350) B. x + 7(325) = 15(350) C. 8x 7(325) = 350 D. 8x + 7(325) = 2(350) E 8x + 7(325) = 15(350) 5. Which of the following is equivalent to 3a + 4b ( 6a 3b)? A. 16ab B. 3a + b C. 3a + 7b D. 9a + b E. 9a + 7b 6. What is the sum of the polynomials 3a 2 b + 2a 2 b 2 and ab 2 + a 2 b 2? A. 3a 2 b ab 2 + 3a 2 b 2 B. 3a 2 b ab 2 + 2a 2 b 2 C. 2a 2 b + 3a 2 b 2 D. 2a 2 b 3 + 2a 4 b 4 E. 3a 3 b 3 + 2a 4 b 7. Which of the following is a factor of the polynomial x 2 x 20? A. x 5 B. C. x 4 x + 2 D. E. x + 5 x Which of the following is a factor of x 2 5x 6? A. (x + 2) B. (x 6) C. (x 3) D. (x 2) E. (x 1) 2014 by ACT, Inc. All rights reserved. 9

12 ALGEBRA PLACEMENT TEST SAMPLE QUESTIONS 9. If 2(x 5) = 11, then x =? A B. 8 C D. 3 E If ( ) = x , then x =? 10 A. 2 B. 1 C. 1 D. 2 E For all nonzero r, t, and z values, A z r t 4r z B t C. 4rz t D. 4r 4 t 4 z 7 E. 4r 2 t 2 z r tz 4rt z 3 2 =? 12. For all x > 0 and y > 0, the radical expression 3 x x y is equivalent to: A. B. C. D. E. 3x xy 9x + y 3x xy 3x + y 3x + xy 9x y 3x + xy 3x y 3x x y 2014 by ACT, Inc. All rights reserved. 10

13 ALGEBRA PLACEMENT TEST SAMPLE QUESTIONS 13. For all x 4, which of the following is equivalent to the expression below? A. x + 3 B. x + 8 C. x + 11 D. x + 16 E. x x + 12x + 32 x Which of the following is a simplified expression equal to A. 3x B. x + 3 C. x 3 D. x + 3 E. x x x 3 for all x < 3? 15. What is the slope of the line with the equation 2x + 3y + 6 = 0? A. 6 B. 3 C. 2 D. 2 3 E Point A ( 4,1) is in the standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x = 2 is the perpendicular bisector of AB? A. ( 6, 1) B. ( 4, 1) C. ( 4, 3) D. ( 2, 1) E. ( 8, 1) 2014 by ACT, Inc. All rights reserved. 11

14 ANSWERS TO ALGEBRA PLACEMENT TEST SAMPLE QUESTIONS Correct Answers for Sample Algebra Questions Item Number Correct Answer Content Category 1 A Substituting Values into Algebraic Expressions 2 D Substituting Values into Algebraic Expressions 3 A Setting Up Equations for Given Situations 4 E Setting Up Equations for Given Situations 5 E Basic Operations with Polynomials 6 A Basic Operations with Polynomials 7 A Factoring Polynomials 8 B Factoring Polynomials 9 E Linear Equations in One Variable 10 C Linear Equations in One Variable 11 B Exponents 12 C Exponents 13 B Rational Expressions 14 E Rational Expressions 15 D Linear Equations in Two Variables 16 E Linear Equations in Two Variables 2014 by ACT, Inc. All rights reserved. 12

### Mathematics Placement

Mathematics Placement The ACT COMPASS math test is a self-adaptive test, which potentially tests students within four different levels of math including pre-algebra, algebra, college algebra, and trigonometry.

### OGET TEACHER TEST PREP SEMINAR NORTHERN OKLAHOMA COLLEGE MATH COMPETENCIES

DATA INTERPRETATION AND ANALYSIS COMPETENCY 0009 Interpret information from line graphs, bar graphs, and pie charts. Interpret data from tables. Recognize appropriate representations of various data in

### PLACEMENT TEST PREPARATION GUIDE MATHEMATICS

PLACEMENT TEST PREPARATION GUIDE MATHEMATICS Taking Your Placement Tests Are you prepared? Placement testing is mandatory for all new students. Taking time to work through this Placement Test Preparation

### COMPASS Placement Test Preparation Packet

COMPASS Placement Test Preparation Packet For preparing to take the COMPASS Math Placement Test Funded through the Gulf-Coast PASS Grant Table of Contents: 1. The COMPASS Test 1 The COMPASS Test 3 Test

### Math Placement Test Sample Problems PRE-ALGEBRA

Math Placement Test Sample Problems The Math Placement Test is an untimed, multiple-choice, computer-based test. The test is composed of four sections: pre-algebra, algebra, college algebra, and trigonometry.

### Math Review. for the Quantitative Reasoning Measure of the GRE revised General Test

Math Review for the Quantitative Reasoning Measure of the GRE revised General Test www.ets.org Overview This Math Review will familiarize you with the mathematical skills and concepts that are important

### 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

### Algebra I Credit Recovery

Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,

### 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

### What are the place values to the left of the decimal point and their associated powers of ten?

The verbal answers to all of the following questions should be memorized before completion of algebra. Answers that are not memorized will hinder your ability to succeed in geometry and algebra. (Everything

### 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

### Sample Test Questions

mathematics College Algebra Geometry Trigonometry Sample Test Questions A Guide for Students and Parents act.org/compass Note to Students Welcome to the ACT Compass Sample Mathematics Test! You are about

### What to Expect on the Compass

What to Expect on the Compass What is the Compass? COMPASS is a set of untimed computer adaptive tests created by the American College Test (ACT) Program. Because COMPASS tests are "computer adaptive,"

### Transition To College Mathematics

Transition To College Mathematics In Support of Kentucky s College and Career Readiness Program Northern Kentucky University Kentucky Online Testing (KYOTE) Group Steve Newman Mike Waters Janis Broering

### LAKE ELSINORE UNIFIED SCHOOL DISTRICT

LAKE ELSINORE UNIFIED SCHOOL DISTRICT Title: PLATO Algebra 1-Semester 2 Grade Level: 10-12 Department: Mathematics Credit: 5 Prerequisite: Letter grade of F and/or N/C in Algebra 1, Semester 2 Course Description:

### 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,

### ACCUPLACER Arithmetic & Elementary Algebra Study Guide

ACCUPLACER Arithmetic & Elementary Algebra Study Guide Acknowledgments We would like to thank Aims Community College for allowing us to use their ACCUPLACER Study Guides as well as Aims Community College

### Algebra I. In this technological age, mathematics is more important than ever. When students

In this technological age, mathematics is more important than ever. When students leave school, they are more and more likely to use mathematics in their work and everyday lives operating computer equipment,

### 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

### Florida Math 0028. Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies - Upper

Florida Math 0028 Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies - Upper Exponents & Polynomials MDECU1: Applies the order of operations to evaluate algebraic

### Algebra I Vocabulary Cards

Algebra I Vocabulary Cards Table of Contents Expressions and Operations Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Absolute Value Order of Operations Expression

### Indiana State Core Curriculum Standards updated 2009 Algebra I

Indiana State Core Curriculum Standards updated 2009 Algebra I Strand Description Boardworks High School Algebra presentations Operations With Real Numbers Linear Equations and A1.1 Students simplify and

### Algebra 1 If you are okay with that placement then you have no further action to take Algebra 1 Portion of the Math Placement Test

Dear Parents, Based on the results of the High School Placement Test (HSPT), your child should forecast to take Algebra 1 this fall. If you are okay with that placement then you have no further action

### Answer Key for California State Standards: Algebra I

Algebra I: Symbolic reasoning and calculations with symbols are central in algebra. Through the study of algebra, a student develops an understanding of the symbolic language of mathematics and the sciences.

### Copy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any.

Algebra 2 - Chapter Prerequisites Vocabulary Copy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any. P1 p. 1 1. counting(natural) numbers - {1,2,3,4,...}

### MATH. ALGEBRA I HONORS 9 th Grade 12003200 ALGEBRA I HONORS

* Students who scored a Level 3 or above on the Florida Assessment Test Math Florida Standards (FSA-MAFS) are strongly encouraged to make Advanced Placement and/or dual enrollment courses their first choices

### Florida Math for College Readiness

Core Florida Math for College Readiness Florida Math for College Readiness provides a fourth-year math curriculum focused on developing the mastery of skills identified as critical to postsecondary readiness

### Vocabulary Words and Definitions for Algebra

Name: Period: Vocabulary Words and s for Algebra Absolute Value Additive Inverse Algebraic Expression Ascending Order Associative Property Axis of Symmetry Base Binomial Coefficient Combine Like Terms

### The program also provides supplemental modules on topics in geometry and probability and statistics.

Algebra 1 Course Overview Students develop algebraic fluency by learning the skills needed to solve equations and perform important manipulations with numbers, variables, equations, and inequalities. Students

### Cover Page. MTT 1, MTT 2, MTT 3, MTT 4 Developmental Mathematics I, II, III, IV MTE 1, MTE 2, MTE 3, MTE 4, MTE 5, MTE 6, MTE 7, MTE 8, MTE 9

Cover Page MTT 1, MTT 2, MTT 3, MTT 4 Developmental Mathematics I, II, III, IV MTE 1, MTE 2, MTE 3, MTE 4, MTE 5, MTE 6, MTE 7, MTE 8, Faculty Name: Jodi Clingenpeel Program Head: Amy Williamson Dean s

### PERT Mathematics Test Review

PERT Mathematics Test Review Prof. Miguel A. Montañez ESL/Math Seminar Math Test? NO!!!!!!! I am not good at Math! I cannot graduate because of Math! I hate Math! Helpful Sites Math Dept Web Site Wolfson

### Prentice Hall: Middle School Math, Course 1 2002 Correlated to: New York Mathematics Learning Standards (Intermediate)

New York Mathematics Learning Standards (Intermediate) Mathematical Reasoning Key Idea: Students use MATHEMATICAL REASONING to analyze mathematical situations, make conjectures, gather evidence, and construct

### Anchorage School District/Alaska Sr. High Math Performance Standards Algebra

Anchorage School District/Alaska Sr. High Math Performance Standards Algebra Algebra 1 2008 STANDARDS PERFORMANCE STANDARDS A1:1 Number Sense.1 Classify numbers as Real, Irrational, Rational, Integer,

### Interpretation of Test Scores for the ACCUPLACER Tests

Interpretation of Test Scores for the ACCUPLACER Tests ACCUPLACER is a trademark owned by the College Entrance Examination Board. Visit The College Board on the Web at: www.collegeboard.com/accuplacer

The Hadley School for the Blind Tuition-Free Tuition-free distance Distance education Education Math Courses www.hadley.edu Adult Continuing Education and High School Courses The Hadley School for the

### 1.3 Algebraic Expressions

1.3 Algebraic Expressions A polynomial is an expression of the form: a n x n + a n 1 x n 1 +... + a 2 x 2 + a 1 x + a 0 The numbers a 1, a 2,..., a n are called coefficients. Each of the separate parts,

Academic Content Standards Grade Eight and Grade Nine Ohio Algebra 1 2008 Grade Eight STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express

### WritePlacer Sample Topic. WritePlacer. Arithmetic

. Knowledge of another language fosters greater awareness of cultural diversity among the peoples of the world. Individuals who have foreign language skills can appreciate more readily other peoples values

### How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.

The verbal answers to all of the following questions should be memorized before completion of pre-algebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics

### Pre-Algebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems

Academic Content Standards Grade Eight Ohio Pre-Algebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small

### Polynomial Operations and Factoring

Algebra 1, Quarter 4, Unit 4.1 Polynomial Operations and Factoring Overview Number of instructional days: 15 (1 day = 45 60 minutes) Content to be learned Identify terms, coefficients, and degree of polynomials.

### 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

### How To Understand And Solve Algebraic Equations

College Algebra Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. College Algebra, 8th edition, McGraw-Hill, 2008, ISBN: 978-0-07-286738-1 Course Description This course provides

### MAT 096, ELEMENTARY ALGEBRA 6 PERIODS, 5 LECTURES, 1 LAB, 0 CREDITS

1 LAGUARDIA COMMUNITY COLLEGE CITY UNIVERSITY OF NEW YORK MATHEMATICS, ENGINEERING and COMPUTER SCIENCE DEPARTMENT FALL 2015 MAT 096, ELEMENTARY ALGEBRA 6 PERIODS, 5 LECTURES, 1 LAB, 0 CREDITS Catalog

### MBA Jump Start Program

MBA Jump Start Program Module 2: Mathematics Thomas Gilbert Mathematics Module Online Appendix: Basic Mathematical Concepts 2 1 The Number Spectrum Generally we depict numbers increasing from left to right

### MTH124: Honors Algebra I

MTH124: Honors Algebra I This course prepares students for more advanced courses while they develop algebraic fluency, learn the skills needed to solve equations, and perform manipulations with numbers,

parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN HIGH SCHOOL HS America s schools are working to provide higher quality instruction than ever before. The way we taught students in the past simply does

### MATH 21. College Algebra 1 Lecture Notes

MATH 21 College Algebra 1 Lecture Notes MATH 21 3.6 Factoring Review College Algebra 1 Factoring and Foiling 1. (a + b) 2 = a 2 + 2ab + b 2. 2. (a b) 2 = a 2 2ab + b 2. 3. (a + b)(a b) = a 2 b 2. 4. (a

### Algebraic expressions are a combination of numbers and variables. Here are examples of some basic algebraic expressions.

Page 1 of 13 Review of Linear Expressions and Equations Skills involving linear equations can be divided into the following groups: Simplifying algebraic expressions. Linear expressions. Solving linear

### MTH 092 College Algebra Essex County College Division of Mathematics Sample Review Questions 1 Created January 17, 2006

MTH 092 College Algebra Essex County College Division of Mathematics Sample Review Questions Created January 7, 2006 Math 092, Elementary Algebra, covers the mathematical content listed below. In order

### Rational Exponents. Squaring both sides of the equation yields. and to be consistent, we must have

8.6 Rational Exponents 8.6 OBJECTIVES 1. Define rational exponents 2. Simplify expressions containing rational exponents 3. Use a calculator to estimate the value of an expression containing rational exponents

### Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District

Benchmark: MA.912.A.2.3; Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions. Also assesses MA.912.A.2.13; Solve

### A Year-long Pathway to Complete MATH 1111: College Algebra

A Year-long Pathway to Complete MATH 1111: College Algebra A year-long path to complete MATH 1111 will consist of 1-2 Learning Support (LS) classes and MATH 1111. The first semester will consist of the

### Number Sense and Operations

Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents

### FSCJ PERT. Florida State College at Jacksonville. assessment. and Certification Centers

FSCJ Florida State College at Jacksonville Assessment and Certification Centers PERT Postsecondary Education Readiness Test Study Guide for Mathematics Note: Pages through are a basic review. Pages forward

### HIBBING COMMUNITY COLLEGE COURSE OUTLINE

HIBBING COMMUNITY COLLEGE COURSE OUTLINE COURSE NUMBER & TITLE: - Beginning Algebra CREDITS: 4 (Lec 4 / Lab 0) PREREQUISITES: MATH 0920: Fundamental Mathematics with a grade of C or better, Placement Exam,

### 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

### Algebra 1: Basic Skills Packet Page 1 Name: Integers 1. 54 + 35 2. 18 ( 30) 3. 15 ( 4) 4. 623 432 5. 8 23 6. 882 14

Algebra 1: Basic Skills Packet Page 1 Name: Number Sense: Add, Subtract, Multiply or Divide without a Calculator Integers 1. 54 + 35 2. 18 ( 30) 3. 15 ( 4) 4. 623 432 5. 8 23 6. 882 14 Decimals 7. 43.21

### Academic Support Services Supplemental Learning Materials - Math

Academic Support Services Supplemental Learning Materials - Math Algebra and trigonometry Basic math Calculator help Charts and graphs Coordinate planes Decimals Exponents General math sites Graphing Integers

### Chesapeake College. Syllabus. MAT 031 Elementary Algebra (silcox87517) John H. Silcox

Chesapeake College Syllabus MAT 031 Elementary Algebra (silcox87517) John H. Silcox Phone 410-778-4540 (W) Phone 410-348-5370 (H) john.silcox@1972.usna.com Syllabus For MAT 031 I. OFFICE HOURS: One hour

### Chapter 4 -- Decimals

Chapter 4 -- Decimals \$34.99 decimal notation ex. The cost of an object. ex. The balance of your bank account ex The amount owed ex. The tax on a purchase. Just like Whole Numbers Place Value - 1.23456789

### Welcome to Math 19500 Video Lessons. Stanley Ocken. Department of Mathematics The City College of New York Fall 2013

Welcome to Math 19500 Video Lessons Prof. Department of Mathematics The City College of New York Fall 2013 An important feature of the following Beamer slide presentations is that you, the reader, move

### JUST THE MATHS UNIT NUMBER 1.8. ALGEBRA 8 (Polynomials) A.J.Hobson

JUST THE MATHS UNIT NUMBER 1.8 ALGEBRA 8 (Polynomials) by A.J.Hobson 1.8.1 The factor theorem 1.8.2 Application to quadratic and cubic expressions 1.8.3 Cubic equations 1.8.4 Long division of polynomials

### 2.3. Finding polynomial functions. An Introduction:

2.3. Finding polynomial functions. An Introduction: As is usually the case when learning a new concept in mathematics, the new concept is the reverse of the previous one. Remember how you first learned

### 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

### Principles of Mathematics MPM1D

Principles of Mathematics MPM1D Grade 9 Academic Mathematics Version A MPM1D Principles of Mathematics Introduction Grade 9 Mathematics (Academic) Welcome to the Grade 9 Principals of Mathematics, MPM

### Sequence of Mathematics Courses

Sequence of ematics Courses Where do I begin? Associates Degree and Non-transferable Courses (For math course below pre-algebra, see the Learning Skills section of the catalog) MATH M09 PRE-ALGEBRA 3 UNITS

### Lyman Memorial High School. Pre-Calculus Prerequisite Packet. Name:

Lyman Memorial High School Pre-Calculus Prerequisite Packet Name: Dear Pre-Calculus Students, Within this packet you will find mathematical concepts and skills covered in Algebra I, II and Geometry. These

### Algebra 1 Course Information

Course Information Course Description: Students will study patterns, relations, and functions, and focus on the use of mathematical models to understand and analyze quantitative relationships. Through

### COMPETENCY TEST SAMPLE TEST. A scientific, non-graphing calculator is required for this test. C = pd or. A = pr 2. A = 1 2 bh

BASIC MATHEMATICS COMPETENCY TEST SAMPLE TEST 2004 A scientific, non-graphing calculator is required for this test. The following formulas may be used on this test: Circumference of a circle: C = pd or

### It is not this. What is the assessment?

What is the assessment? What is the purpose of assessing in English and math? What assessment tool to we use? What placement tests do we offer? Why should we encourage students to prepare before taking

### Clovis Community College Core Competencies Assessment 2014 2015 Area II: Mathematics Algebra

Core Assessment 2014 2015 Area II: Mathematics Algebra Class: Math 110 College Algebra Faculty: Erin Akhtar (Learning Outcomes Being Measured) 1. Students will construct and analyze graphs and/or data

### Prentice Hall Connected Mathematics 2, 7th Grade Units 2009

Prentice Hall Connected Mathematics 2, 7th Grade Units 2009 Grade 7 C O R R E L A T E D T O from March 2009 Grade 7 Problem Solving Build new mathematical knowledge through problem solving. Solve problems

### History of Development of CCSS

Implications of the Common Core State Standards for Mathematics Jere Confrey Joseph D. Moore University Distinguished Professor of Mathematics Education Friday Institute for Educational Innovation, College

### GRADES 7, 8, AND 9 BIG IDEAS

Table 1: Strand A: BIG IDEAS: MATH: NUMBER Introduce perfect squares, square roots, and all applications Introduce rational numbers (positive and negative) Introduce the meaning of negative exponents for

### 0.8 Rational Expressions and Equations

96 Prerequisites 0.8 Rational Expressions and Equations We now turn our attention to rational expressions - that is, algebraic fractions - and equations which contain them. The reader is encouraged to

### Precalculus Orientation and FAQ

Precalculus Orientation and FAQ MATH 1011 (Precalculus) is a four hour 3 credit course that prepares a student for Calculus. Topics covered include linear, quadratic, polynomial, rational, exponential,

### Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks

Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks Welcome to Thinkwell s Homeschool Precalculus! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson

### 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

### http://www.aleks.com Access Code: RVAE4-EGKVN Financial Aid Code: 6A9DB-DEE3B-74F51-57304

MATH 1340.04 College Algebra Location: MAGC 2.202 Meeting day(s): TR 7:45a 9:00a, Instructor Information Name: Virgil Pierce Email: piercevu@utpa.edu Phone: 665.3535 Teaching Assistant Name: Indalecio

### Basic Math Course Map through algebra and calculus

Basic Math Course Map through algebra and calculus This map shows the most common and recommended transitions between courses. A grade of C or higher is required to move from one course to the next. For

### Review of Intermediate Algebra Content

Review of Intermediate Algebra Content Table of Contents Page Factoring GCF and Trinomials of the Form + b + c... Factoring Trinomials of the Form a + b + c... Factoring Perfect Square Trinomials... 6

### AMSCO S Ann Xavier Gantert

AMSCO S Integrated ALGEBRA 1 Ann Xavier Gantert AMSCO SCHOOL PUBLICATIONS, INC. 315 HUDSON STREET, NEW YORK, N.Y. 10013 Dedication This book is dedicated to Edward Keenan who left a profound influence

### South Carolina College- and Career-Ready (SCCCR) Algebra 1

South Carolina College- and Career-Ready (SCCCR) Algebra 1 South Carolina College- and Career-Ready Mathematical Process Standards The South Carolina College- and Career-Ready (SCCCR) Mathematical Process

### CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA

We Can Early Learning Curriculum PreK Grades 8 12 INSIDE ALGEBRA, GRADES 8 12 CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA April 2016 www.voyagersopris.com Mathematical

### Big Ideas in Mathematics

Big Ideas in Mathematics which are important to all mathematics learning. (Adapted from the NCTM Curriculum Focal Points, 2006) The Mathematics Big Ideas are organized using the PA Mathematics Standards

### Florida Math 0018. Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower

Florida Math 0018 Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower Whole Numbers MDECL1: Perform operations on whole numbers (with applications, including

### Exponents, Radicals, and Scientific Notation

General Exponent Rules: Exponents, Radicals, and Scientific Notation x m x n = x m+n Example 1: x 5 x = x 5+ = x 7 (x m ) n = x mn Example : (x 5 ) = x 5 = x 10 (x m y n ) p = x mp y np Example : (x) =

### 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

### Summer Assignment for incoming Fairhope Middle School 7 th grade Advanced Math Students

Summer Assignment for incoming Fairhope Middle School 7 th grade Advanced Math Students Studies show that most students lose about two months of math abilities over the summer when they do not engage in

### Algebra 1. Curriculum Map

Algebra 1 Curriculum Map Table of Contents Unit 1: Expressions and Unit 2: Linear Unit 3: Representing Linear Unit 4: Linear Inequalities Unit 5: Systems of Linear Unit 6: Polynomials Unit 7: Factoring

### Springfield Technical Community College School of Mathematics, Sciences & Engineering Transfer

Springfield Technical Community College School of Mathematics, Sciences & Engineering Transfer Department: Mathematics Course Title: Algebra 2 Course Number: MAT-097 Semester: Fall 2015 Credits: 3 Non-Graduation

Introduction: Summary of Goals GRADE SEVEN By the end of grade seven, students are adept at manipulating numbers and equations and understand the general principles at work. Students understand and use

### Credit Number Lecture Lab / Shop Clinic / Co-op Hours. MAC 224 Advanced CNC Milling 1 3 0 2. MAC 229 CNC Programming 2 0 0 2

MAC 224 Advanced CNC Milling 1 3 0 2 This course covers advanced methods in setup and operation of CNC machining centers. Emphasis is placed on programming and production of complex parts. Upon completion,

### Placement Tests STUDY GUIDE

Placement Tests STUDY GUIDE COMPASS /ESL Sample Test Questions for Reading, Writing, and Math For information regarding placement testing or to make an appointment, call the Admissions Office: 314.286.4809.

### MASTER SYLLABUS 2015-2016

MASTER SYLLABUS 2015-2016 A. Academic Division: Liberal Arts B. Discipline: Mathematics C. Course Number and Title: MATH0074 Beginning Algebra D. Course Coordinator: Christine Shearer Assistant Dean: Deb

### Functional Math II. Information CourseTitle. Types of Instruction

Functional Math II Course Outcome Summary Riverdale School District Information CourseTitle Functional Math II Credits 0 Contact Hours 135 Instructional Area Middle School Instructional Level 8th Grade

### Warm-Up 1. 1. What is the least common multiple of 6, 8 and 10?

Warm-Up 1 1. What is the least common multiple of 6, 8 and 10? 2. A 16-page booklet is made from a stack of four sheets of paper that is folded in half and then joined along the common fold. The 16 pages