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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

1. Solving Simple Equations

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Exercise 9 Page 6

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

q=- 8

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, the variable term is already on the left-hand side of the equation, so we will start by evaluating the absolute value and then using the Subtraction Property of Equality.

q+|- 10|=2

|-10|=10

q+10=2

LHS-10=RHS-10

q+10-10=2-10

Subtract terms

q=- 8

The solution to the equation is q= - 8. We can check our solution by substituting it into the original equation.

q+|- 10|=2

q= - 8

- 8+|- 10|? =2

▼

Simplify left-hand side

|-10|=10

- 8+10? =2

Add terms

2=2 ✓

Since the left-hand side and right-hand side are equal, q=- 8 is the correct solution.

Subchapter links

Try It p.4-6

Self-Assessment for Concepts & Skills p.6

Self-Assessment for Problem Solving p.7

Review & Refresh p.8

Concepts, Skills, & Problem Solving p.8-10