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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

Chapter Review

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Exercise 4 Page 33

Use the Addition Property of Equality to eliminate the subtraction.

v = 8.1

Practice makes perfect

To solve the equation, we have to isolate v on one side. Using the Addition Property of Equality, we will add |2.4| to both sides of the equation. This will eliminate the subtraction and isolate v.

v - |2.4| = 5.7

LHS+|2.4|=RHS+|2.4|

v - |2.4| + |2.4| = 5.7 + |2.4|

Add terms

v = 5.7 + |2.4|

|2.4|=2.4

v = 5.7 + 2.4

Add terms

v = 8.1

To check that this solution is correct, let's substitute v=8.1 into the original equation and simplify.

v - |2.4| = 5.7

v= 8.1

8.1 - |2.4| ? = 5.7

|2.4|=2.4

8.1 - 2.4 ? = 5.7

Subtract term

5.7 = 5.7 ✓

Since the left-hand side and right-hand side are equal, v=8.1 is the correct solution.

Subchapter links

1 Solving Simple Equations p.33

2 Solving Multi-Step Equations p.34

3 Solving Equations with Variables on Both Sides p.34-35

4 Rewriting Equations and Formulas p.35