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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

4. Rewriting Equations and Formulas

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Exercise 4 Page 29

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- and right-hand sides of the equation.

5(4+t)=5t+20

Distribute 5

20+5t=5t+20

LHS-5t=RHS-5t

20+5t-5t=5t+20-5t

Subtract term

20=20 ✓

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

Subchapter links

Try It p.26-27

Self-Assessment for Concepts & Skills p.27

Self-Assessment for Problem Solving p.28

Review & Refresh p.29

Concepts, Skills, & Problem Solving p.29-30