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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 12 Page 208

Use the Multiplication Property of Equality to eliminate the division.

z=5, see solution.

Practice makes perfect
Notice that in the given equation z is only present within the numerator of a single fraction. 1/4 = z/20 Let's use the Multiplication Property of Equality and multiply multiply both sides of the equation by 20. This will eliminate the denominator of the fraction and isolate z.
1/4 = z/20
MultEqn

LHS * 20=RHS* 20

20 * 1/4 = 20 * z/20
DenomMultFracToNumber

20 * a/20= a

20 * 1/4 = z
MoveLeftFacToNumOne

a* 1/b= a/b

20/4 = z
CalcQuot

Calculate quotient

5 = z
RearrangeEqn

Rearrange equation

z=5
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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)
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Try It 6 (Page 204)
Try It 7 (Page 205)
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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)
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arrow_right Self-Assessment for Problem Solving p.207
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arrow_right Review & Refresh p.208
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arrow_right Concept, Skills, & Problem Solving p.208-210
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