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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 2 Page 26

Apply inverse operations to isolate y.

y=x-0.25

Practice makes perfect

To solve the given literal equation for y, we will use the Properties of Equality to apply inverse operations on the equation. Remember, only like terms can be combined.

4x-4y=1

LHS-4x=RHS-4x

4x-4y-4x=1-4x

Subtract term

- 4y=1-4x

.LHS /- 4.=.RHS /- 4.

- 4y/- 4=1-4x/- 4

Calculate quotient

y=1-4x/- 4

▼

Simplify right-hand side

MoveNegDenomToNum

Put minus sign in numerator

y=- (1-4x)/4

DistrNegSignSwap

-(b-a)=a-b

y=4x-1/4

Now, we can rewrite the right hand-side as a difference of two fractions and simplify the equation even further.

y=4x-1/4

Write as a difference of fractions

y=4x/4-1/4

Write as a decimal

y=x-0.25

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