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Big Ideas Math: Modeling Real Life, Grade 7

BI

Big Ideas Math: Modeling Real Life, Grade 7 View details

4. Writing and Graphing Inequalities

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Exercise 4 Page 149

Use the Subtraction Property of Equality and the Division Property of Equality.

v = - 1/2

Practice makes perfect

To solve the equation, we have to isolate v on one side. We can use the Subtraction Property of Equality. Then, we will use the Division Property of Equality.

8v + 5 = 1

LHS-5=RHS-5

8v + 5 - 5 = 1 - 5

Subtract terms

8v = - 4

.LHS /8.=.RHS /8.

8v/8 = - 4/8

Calculate quotient

v = - 4/8

MoveNegNumToFrac

Put minus sign in front of fraction

v = - 4/8

a/b=.a /4./.b /4.

v = - 1/2

To check that this solution is correct, let's substitute v = - 12 into the original equation and simplify.

8v + 5 = 1

v= - 12

8( - 1/2) + 5 ? = 1

a(- b)=- a * b

- 8 * 1/2 + 5 ? = 1

MoveLeftFacToNumOne

a* 1/b= a/b

- 8/2 + 5 ? = 1

Calculate quotient

- 4 + 5 ? = 1

Add terms

1 = 1 ✓

Since the left-hand side and right-hand side are equal, v = - 12 is the correct solution.

Subchapter links

Try It p.146-147

Self-Assessment for Concept & Skills p.147

Self-Assessment for Problem Solving p.148

Review & Refresh p.149

Concept, Skills, & Problem Solving p.149-150