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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 7 Page 208

Remember, only like terms can be combined.

D

Practice makes perfect
We want to find out which of the given expressions is equivalent to the following one. (3w-8)-4(2w+3) To do so, we will first simplify the above expression. Let's first use the Distributive Property and multiply.
(3w-8)-4(2w+3)
Distr

Distribute -4

3w-8 -4(2w) -4(3)
MultNegPos

(- a)b = - ab

3w-8 -8w -4(3)
Multiply

Multiply

3w-8-8w-12
Now, let's identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable — can be combined. 3w -8 -8w -12 In this case, we have two w-terms, and two constants. Both the w-terms and the constants can be combined, so to simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.
3w-8 -8w -12
CommutativePropAdd

Commutative Property of Addition

3w - 8w -8 -12
SubTerms

Subtract terms

-5w - 20
Our initial expression is equivalent to -5w -20. Therefore, answer D is correct.
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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)
Try It 8 (Page 205)
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 7 (Page 208)
arrow_right Concept, Skills, & Problem Solving p.208-210
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