Writing Equivalent Expressions (Summative)
Writing Equivalent Expressions (Summative)
Name:_Answer Key______Date:______
Translate each verbal phrase into a number sentence.
- Three less the product of seven and a number h.
7h - 3
- Three times the quantity ten minus r.
3 (10 – r)
- Stan and Marsha each earn an hourly wage of $10 per hour. This week, Marsha received an additional bonus of $50. They both worked the same number of hours. The following expression represents the weekly wages they earned altogether: h ($10) + h ($10) + $50
a)Explain what each of the following represents in this situation.
h ($10):h represents the number of hours Stan worked and the $10 is what he was paid for each of those hours so the expression represents what Stan earned
+ h($10): same as above except this is for Marsha’s hours. You add the two quantities because the question is what they made altogether
$50this is the bonus money that Marsha made
b)h($20) + $50 also represents the wages they earned altogether. Explain what each of the following represents in this situation.
h($20):Stan and Marsha worked the same number of hours so h represents these hours. Each earned $10 per hour so the $20 represents what they both earned each hour.
+ $50This is the bonus money Marsha earned.
- The temperature in Iceland increases 2 degrees in the morning but then falls7 degrees bymidnight for the next5 days. Write twoequivalent expressions to determine the temperature at the end of the 5 days (midnight).
Possible Solutions: T + 5 (2-7) ; T – 5(5); T + 5(-5)
- The length of one side of a square is 12 + x.
- Using only addition, write an expression to find the perimeter of the square.
12 + x + 12 + x + 12 + x + 12 + x
- Using multiplication and addition, write an expression to find the perimeter of the square.
Possible Solution: 4(12 + x) ; 4(12) + 4(x)
- Juan says the two expressions 6(4a – 4) + 6a and 10a – 24 are equivalent. Is he correct? Explain why or why not.
No. Using the distributive property the expression becomes 24a – 24 + 6a,then when you combine like terms you get 30a – 24.