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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
4. Using Similar Triangles
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Exercise 6 Page 127

Use the Multiplication Property of Equality.

p = - 14

Practice makes perfect
To solve the equation, we have to isolate p on one side. Using the Multiplication Property of Equality, we will multiply both sides of the equation by 72. This will isolate p.
- 4 = 2/7p
MultEqn

LHS * 7/2=RHS* 7/2

- 4 * 7/2 = 7/2* 2/7p
CancelCommonFac

Cancel out common factors

- 4 * 7/2 = 7/2 * 2/7p
SimpQuot

Simplify quotient

- 4 * 7/2 = p
SplitIntoFactors

Split into factors

- 2 * 2 * 7/2 = p
FracMultDenomToNumber

a/2* 2 = a

- 2 * 7 = p
Multiply

Multiply

- 14 = p
RearrangeEqn

Rearrange equation

p = - 14
To check that this solution is correct, let's substitute p=- 14 into the original equation and simplify.
- 4 = 2/7p
Substitute

p= - 14

- 4? =2/7 * ( - 14)
SplitIntoFactors

Split into factors

- 4? =2/7* (- 2)* 7
CommutativePropMult

Commutative Property of Multiplication

- 4? =- 2 * 2/7* 7
FracMultDenomToNumber

a/7* 7 = a

- 4? =- 2 * 2
Multiply

Multiply

- 4 = - 4 âś“
Since the left-hand side and right-hand side are equal, p = - 14 is the correct solution.
Subchapter links expand_more
arrow_right Try It p.124-125
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arrow_right Self-Assessment for Concepts & Skills p.125
Self-Assessment for Concepts & Skills 4 (Page 125)
Self-Assessment for Concepts & Skills 5 (Page 125)
arrow_right Self-Assessment for Problem Solving p.126
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Self-Assessment for Problem Solving 7 (Page 126)
arrow_right Review & Refresh p.127
Review & Refresh 1 (Page 127)
Review & Refresh 2 (Page 127)
Review & Refresh 3 (Page 127)
Review & Refresh 4 (Page 127)
Review & Refresh 5 (Page 127)
Review & Refresh 6 (Page 127)
arrow_right Concepts, Skills, & Problem Solving p.127-128
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Concepts, Skills, & Problem Solving 9 (Page 127)
Concepts, Skills, & Problem Solving 10 (Page 127)
Concepts, Skills, & Problem Solving 11 (Page 127)
Concepts, Skills, & Problem Solving 12 (Page 127)
Concepts, Skills, & Problem Solving 13 (Page 127)
Concepts, Skills, & Problem Solving 14 (Page 128)
Concepts, Skills, & Problem Solving 15 (Page 128)
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Concepts, Skills, & Problem Solving 19 (Page 128)
Concepts, Skills, & Problem Solving 20 (Page 128)
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Concepts, Skills, & Problem Solving 22 (Page 128)
Concepts, Skills, & Problem Solving 23 (Page 128)