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168

2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ 7

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432

2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ 3 ⋅ 3

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2160

2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 5

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In the following exercises, find the prime factorization of each number using any method.

Find the Least Common Multiple (LCM) of Two Numbers

In the following exercises, find the least common multiple (LCM) by listing multiples.

In the following exercises, find the least common multiple (LCM) by using the prime factors method.

In the following exercises, find the least common multiple (LCM) using any method.

Everyday math

Grocery shopping Hot dogs are sold in packages of ten, but hot dog buns come in packs of eight. What is the smallest number of hot dogs and buns that can be purchased if you want to have the same number of hot dogs and buns? (Hint: it is the LCM!)

40

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Grocery shopping Paper plates are sold in packages of 12 and party cups come in packs of 8 . What is the smallest number of plates and cups you can purchase if you want to have the same number of each? (Hint: it is the LCM!)

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Writing exercises

Do you prefer to find the prime factorization of a composite number by using the factor tree method or the ladder method? Why?

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Do you prefer to find the LCM by listing multiples or by using the prime factors method? Why?

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Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

.

Overall, after looking at the checklist, do you think you are well-prepared for the next Chapter? Why or why not?

Chapter review exercises

Use the Language of Algebra

Use Variables and Algebraic Symbols

In the following exercises, translate from algebra to English.

3 8

the product of 3 and 8

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24 ÷ 6

the quotient of 24 and 6

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50 47

50 is greater than or equal to 47

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n + 4 = 13

The sum of n and 4 is equal to 13

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Identify Expressions and Equations

In the following exercises, determine if each is an expression or equation.

Simplify Expressions with Exponents

In the following exercises, write in exponential form.

a a a a a

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x x x x x x

x 6

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In the following exercises, write in expanded form.

y 5

y y y y y

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In the following exercises, simplify each expression.

Simplify Expressions Using the Order of Operations

In the following exercises, simplify.

Evaluate, Simplify, and Translate Expressions

Evaluate an Expression

In the following exercises, evaluate the following expressions.

3 a 4 b when a = 10 , b = 1

26

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Identify Terms, Coefficients and Like Terms

In the following exercises, identify the terms in each expression.

12 n 2 + 3 n + 1

12 n 2 ,3 n , 1

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In the following exercises, identify the coefficient of each term.

In the following exercises, identify the like terms.

5 x 2 , 3 , 5 y 2 , 3 x , x , 4

3, 4, and 3 x , x

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Practice Key Terms 2

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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