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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 Solving Proportions
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Exercise 53 Page 210

Solve for the variable by using the Cross Products Property.

d=12

Practice makes perfect
To solve the proportion, we will start by using the Cross Products Property. Remember that we will need to treat d-2 as a single quantity in the cross multiplication process.
5/2 = d-2/4
CrossMult

Cross multiply

5 * 4 = 2*(d-2)
Multiply

Multiply

20 = 2(d-2)
From here, we will continue solving for d by using the Distributive Property and the Properties of Equality.
20 = 2(d-2)
Distr

Distribute 2

20 = 2d - 4
AddEqn

LHS+4=RHS+4

20 +4= 2d - 4+4
AddTerms

Add terms

24 = 2d
DivEqn

.LHS /2.=.RHS /2.

24/2 = 2d/2
DenomMultFracToNumber

2 * a/2= a

24/2 =d
CalcQuot

Calculate quotient

12 = d
RearrangeEqn

Rearrange equation

d=12
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arrow_right Try It p.204-206
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Try It 2 (Page 204)
Try It 3 (Page 204)
Try It 4 (Page 204)
Try It 5 (Page 204)
Try It 6 (Page 204)
Try It 7 (Page 205)
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Try It 9 (Page 205)
Try It 10 (Page 205)
Try It 11 (Page 205)
Try It 12 (Page 205)
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arrow_right Self-Assessment for Concept & Skills p.206
Self-Assessment for Concept & Skills 14 (Page 206)
Self-Assessment for Concept & Skills 15 (Page 206)
Self-Assessment for Concept & Skills 16 (Page 206)
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arrow_right Self-Assessment for Problem Solving p.207
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arrow_right Review & Refresh p.208
Review & Refresh 1 (Page 208)
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Review & Refresh 3 (Page 208)
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Review & Refresh 5 (Page 208)
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Review & Refresh 7 (Page 208)
arrow_right Concept, Skills, & Problem Solving p.208-210
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