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1 PreAlgebra Written by Wendy Osterman Editor: Alaska Hults Illustrator: Corbin Hillam Designer/Production: Moonhee Pak/Cari Helstrom Cover Designer: Barbara Peterson Art Director: Tom Cochrane Project Director: Carolea Williams Reprinted Creative Teaching Press, Inc., Huntington Beach, CA 949 Reproduction of activities in any manner for use in the classroom and not for commercial sale is permissible. Reproduction of these materials for an entire school or for a school system is strictly prohibited.
2 Table of Contents Introduction Number Chat Naming Number Sets Math Operations Vocabulary Practice Crossword Clue Words Looking for Clues Using Clue Words Looking for Remainders Divisibility Tests Factors Common Factors Greatest Common Factor Multiples Factors and Multiples Prime and Composite Numbers Prime Factors of Natural Numbers Using Prime Factors to Find the GCF Prime Factors and the LCM Vocabulary Review Looking Back Terminating and Repeating Decimals Fractions to Decimals Line It Up! Multiplying with Decimals Dividing with Decimals Multiples of Ten Rounding Mix It Up! Understanding Rational Numbers Number Representations Comparing Fractions Comparing Small and Large Decimals Number Lines Negative Numbers: + and Negative Numbers: and Watch Out! Finding Absolute Value Adding and Subtracting Like Fractions Adding and Subtracting Unlike Fractions Multiplying Fractions Finding Reciprocals Dividing with Fractions Mental Models of Dividing Fractions Ordering Decimals Percents Percent Perfection Ordering Decimals, Percents, and Fractions... Money Cents and Dollars Discounts Working with Coins Rational Numbers Vocabulary Scramble Rational Review Rational Review Ratios and Rates Company Comparisons Comparing Rates Using Powers and Square Roots Value Chart Order of Operations Take the Challenge Estimating Mental Math Understanding Large Numbers TeenyTiny!
3 Multiplying Extreme Numbers Putting It Together Additional Practice Understanding Variables Equations with Variables Common Algebra Terms Write It! Investigation Distribute It! Adding Like Terms Simplify It! Evaluate Equations and Solutions Undoing More to Undo Solving Equations with Addition Subtraction Solutions Multiplication Solutions Division Solutions All Together Educational Equations Proportions Advanced Proportions Discovery Associative and Commutative Properties Shortcuts Division Property of Exponents Simplifying Polynomials Monomials, Binomials, and Trinomials More Polynomials Evaluating Simple Expressions Crossword Vocabulary Algebra Basics More Algebra Basics Reciprocals Complex Equations More Complex Equations Isolating Variables Isolating Variables Multiple Transformations Advanced Concepts You Choose You Choose Answer Key
4 Introduction Each book in the Power Practice series contains dozens of readytouse activity pages to provide students with skill practice. The fun activities can be used to supplement and enhance what you are already teaching in your classroom. Give an activity page to students as independent class work, or send the pages home as homework to reinforce skills taught in class. An answer key is included at the end of each book for verification of student responses. PreAlgebra provides activities that will directly assist students in practicing basic skills and concepts. The structure of the book enhances student learning and enables them to meet new challenges with confidence. Students will receive reinforcement in the following skills: determining divisibility finding common factors and multiples terminating and repeating decimals understanding integers and absolute value multiplying and dividing fractions finding and using percents using the order of operations finding the value of a given variable identifying and solving a monomial, binomial, or trinomial Use these readytogo activities to recharge skill review and give students the power to succeed.
5 Name Date Number Chat Set: A collection of objects. Whole Numbers: The set of numbers that can be used to count, starting with 0. Fraction: Part of a whole number. Decimal: A number with one or more digits to the right of the decimal number. Digit: A single number. There are 0 digits: 0,,, 3, 4,,,, 8, and 9. Write whole number, fraction, or decimal to indicate which would best represent the value. The percent on a test The number of students in the class 3 The part of the world that is made up of water 4 The cost to fill up a tank of gas Half of an hour The number of televisions in your house The measurement in a recipe that is less than full cup 8 The interest rate at a bank 9 The number of steps to get to school PreAlgebra 004 Creative Teaching Press 0 The exact number of miles to the closest store Baseball batting averages Part of the pizza left after you eat your share
6 Name Date Naming Number Sets Natural Numbers: The set of numbers that you use to count, starting with. Integers: The set of all whole numbers, both positive and negative. {...,  3, , , 0,,, 3,...} Rational Numbers: The set of all integers plus all of the terminating or repeating decimals between the whole numbers. Irrational Numbers: The set of all numbers that are not rational. If a number is not rational, then it must be irrational. Write a number that fits the description. I am an integer that is one less than 0. I am a rational number that is between 3 and 4. 3 I am an integer that is between 0 and . 4 I am a rational number that is one less than. I am both a rational number and a natural number that is between 8 and 0. I am an integer that is less than  3. I am a natural number that is times greater than. Write natural number, integer, rational number, or irrational number to indicate which would best respresent the value. 8 I am a decimal that does not terminate or repeat. 9 0 I am a number that is. more than 0.. I am a number that is 3. less than  4. I am a number that is 4 times greater than.. I am a number that is the product of two rational numbers. PreAlgebra 004 Creative Teaching Press
7 Name Date Math Operations Sum: The answer to an addition problem. Difference: The answer to a subtraction problem. Product: The answer to a multiplication problem. Quotient: The answer to a division problem. Write an equation that illustrates the problem and solve it. To find the area of a square, find the product of the length and the width. To find the average daily pay, find the quotient of the weekly pay, $30, and the number of days in a week. 3 To find the discount, find the difference between the regular price of $30 and the discounted price of $. 4 Find the sum of all the baskets scored in the ball game. Only 0 players scored. The scores are 0, 0, 4, 3, 30,, 4, 4,, 3. Find the sum and the difference of the numbers 0 and. Find the product of the even integers in the set: {,, 3, 4,, }. PreAlgebra 004 Creative Teaching Press 8 To find the square of the number, take the product of the number multiplied by itself. To find the remainder of 3 divided by, find the difference of 3 and the product of and.
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