5
QuizMultiple Choice
Modeling Real-World Multistep Equations
Question 5 • GA-8th Grade Mathematics
Jolianne worked half as many hours as Andrew. Jolianne makes $10 per hour and has saved $27. Andrew makes $8 per hour and has no money saved. After getting paid, they have the same amount of money. Andrew’s Table for Comparing MoneyNameRate of pay(per hour)Hours workedJolianne10Andrew8tAndrew’s equation: Jolianne’s Table for Comparing MoneyNameRate of pay(per hour)Hours workedJolianne10tAndrew82t Jolianne’s equation: Andrew claims that only his table and equation are correct, but Jolianne claims that both tables and equations are valid. Which statement regarding their claims is true?
Answer
A
Andrew is correct because t cannot be used to represent the number of hours Jolianne worked.B
Andrew is correct because Jolianne worked half as many hours as he did and he did not work twice as many hours as she did.C
Jolianne is correct because if one lets t = hours Andrew worked, then his equation is valid. If one lets t = hours Jolianne worked, then Andrew worked twice as many so her equation is valid, too.D
Jolianne is correct because when solving t in her equation, t = hours Jolianne worked, and when solving for t in Andrew’s equation, t = hours Jolianne worked so they are equal.