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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 26 Page 34

Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.

Infinitely many solutions.

Practice makes perfect

To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality. In this case, we need to start by using the Distributive Property to simplify the left-hand side of the equation.

1/6(12z - 18) = 2z - 3

Distribute 1/6

12z/6 - 18/6 = 2z - 3

Calculate quotient

2z - 3 = 2z - 3

Now we can continue to solve using the Properties of Equality.

2z - 3 = 2z - 3

LHS+3=RHS+3

2z - 3 + 3 = 2z - 3 + 3

Add terms

2z = 2z

LHS-2z=RHS-2z

2z - 2z = 2z - 2z

Subtract terms

0 = 0

Simplifying the equation resulted in an identity. Therefore, the equation has infinitely many solutions.

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