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Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
3. Solving Two-Step Equations
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Exercise 13 Page 141

Use the Addition Property of Equality and the Multiplication Property of Equality.

A

Practice makes perfect

We are given the equation and we want to describe how to solve it. n/4 - 4 = 12 First, we will isolate the term n4. To do so, we will remove - 4 from left-hand side of the equation by using the Addition Property of Equality.

Addition Property of Equality

Adding the same number to each side of an equation produces an equivalent equation.

We can use this property to add 4 to each side of the equation.

n/4 - 4 = 12
AddEqn

LHS+4=RHS+4

n/4 - 4 + 4 = 12 + 4
AddTerms

Add terms

n/4 = 16

Now, we will use the Multiplication Property of Equality.

Multiplication Property of Equality

Multiplying each side of an equation by the same number produces an equivalent equation.

Let's multiply both sides of the equation by 4.

n/4 = 16
MultEqn

LHS * 4=RHS* 4

n/4 * 4 = 16 * 4
MoveRightFacToNum

a/c* b = a* b/c

4n/4 = 16 * 4
CancelCommonFac

Cancel out common factors

4n/4 = 16 * 4
SimpQuot

Simplify quotient

n = 16 * 4
Multiply

Multiply

n = 64

We solved the equation. First, we added 4 to each side. Then, we multiplied each side by 4. This corresponds to option A.

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arrow_right Try It p.140-141
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Try It 2 (Page 140)
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arrow_right Self-Assessment for Concept & Skills p.141
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Self-Assessment for Concept & Skills 11 (Page 141)
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arrow_right Self-Assessment for Problem Solving p.142
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arrow_right Review & Refresh p.143
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arrow_right Concept, Skills, & Problem Solving p.143-144
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