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Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
4. Writing and Graphing Inequalities
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Exercise 5 Page 149

Start by using the Subtraction Property of Equality.

n = 5

Practice makes perfect
To solve the equation, we have to isolate n on one side. We will use the Properties of Equality. We can start by using the Subtraction Property of Equality.
7/8 - 1/4n = - 3/8
SubEqn

LHS-7/8=RHS-7/8

7/8 - 1/4n - 7/8 = - 3/8 - 7/8
SubTerms

Subtract terms

- 1/4n = - 10/8
ReduceFrac

a/b=.a /2./.b /2.

- 1/4n =- 5/4
MoveRightFacToNumOne

1/b* a = a/b

- n/4 = - 5/4
MultEqn

LHS * - 4=RHS* - 4

- n/4* (- 4) = - 5/4*(- 4)
MultNegNegTwoPar

(- a)(- b)=a* b

n/4* 4 = 5/4* 4
MoveRightFacToNum

a/c* b = a* b/c

4n/4 = 5* 4/4
Multiply

Multiply

4n/4 = 20/4
CalcQuot

Calculate quotient

n = 5
To check that this solution is correct, let's substitute n = 5 into the original equation and simplify.
7/8 - 1/4n = - 3/8
Substitute

n= 5

7/8 - 1/4* 5 ? = - 3/8
MoveLeftFacToNumOne

a* 1/b= a/b

7/8 - 5/4 ? = - 3/8
ExpandFrac

a/b=a * 2/b * 2

7/8 - 10/8 ? = - 3/8
SubFrac

Subtract fractions

- 3/8 = - 3/8 âś“
Since the left-hand side and right-hand side are equal, n = 5 is the correct solution.
Subchapter links expand_more
arrow_right Try It p.146-147
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Try It 2 (Page 146)
Try It 3 (Page 147)
Try It 4 (Page 147)
Try It 5 (Page 147)
arrow_right Self-Assessment for Concept & Skills p.147
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Self-Assessment for Concept & Skills 8 (Page 147)
Self-Assessment for Concept & Skills 9 (Page 147)
Self-Assessment for Concept & Skills 10 (Page 147)
arrow_right Self-Assessment for Problem Solving p.148
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arrow_right Review & Refresh p.149
Review & Refresh 1 (Page 149)
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arrow_right Concept, Skills, & Problem Solving p.149-150
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