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Big Ideas Math: Modeling Real Life, Grade 8

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

3. Graphing Proportional Relationships

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Exercise 4 Page 159

Combine like terms. Then, use the Properties of Equality to isolate x.

x = 2

Practice makes perfect

To solve the equation, we have to isolate x on one side. In this case, we need to start by combining like terms. Then, we will use the Division Property of Equality.

2x + 3x = 10

Add terms

5x = 10

.LHS /5.=.RHS /5.

5x/5 = 10/5

CancelCommonFac

Cancel out common factors

5x/5 = 10/5

Simplify quotient

x = 10/5

Calculate quotient

x = 2

The solution to the equation is x = 2. We can check our solution by substituting it into the original equation.

2x + 3x = 10

x= 2

2( 2) + 3( 2) ? = 10

Multiply

4 + 6 ? = 10

Add terms

10 = 10 ✓

Since the left-hand side is equal to the right-hand side, our solution is correct.

Subchapter links

Try It p.156-157

Self-Assessment for Concepts & Skills p.157

Self-Assessment for Problem Solving p.158

Review & Refresh p.159

Concepts, Skills, & Problem Solving p.159-160