Math Problem Solving Quiz

Mark is buying supplies for his students. He is buying a notebook (n) and a pack of pencils for each of his 25 students. Each pack of pencils costs $1.25. If Mark’s total cost is $156.25, which of the following equations can be used to find how much each notebook cost? Select TWO that apply.

• 25(n) + 31.25 = 156.25

• 1.25(n) + 25 = 156.25

• 25(n) = 156.25 + 31.25

• 25(n) = 156.25 - 31.25

Tags

CCSS.HSA.CED.A.3

Solve the inequality below for n. 3n + 7 < 4

• -7 ≥ z

• -7 ≤ z

• 1 > n

• -1 < n

Tags

CCSS.7.EE.B.4B

A rental car costs $65 for one day plus an additional $0.35 per mile. What is the cost of renting a car for one day and driving it 115 miles?

Jeff purchased 5 items at the same price and 1 item for $2.95. What was the individual price of the 5 items if Jeff’s total was $18.90 before tax?

• $2.95

• $3.19

• $4.37

• $15.95

Tags

CCSS.7.EE.B.4A

Marta used a coupon to save $3.50 on a book she bought. When Marta bought the book, she gave the sales clerk a $20.00 bill, the book, and the coupon. The sales clerk gave Marta $9.01 in change. Which of the following equations could be used to find, p, the price of the book before the coupon was applied?

• 20 − 9.01 = p

• 9.01 = 20 − p + 3.50

• 9.01 = 20 − p − 3.50

• 9.01 + 3.50 = p

Tags

CCSS.HSA.CED.A.3

Lee scored 25 points in yesterday’s game. That was 3 more than twice the number of points Alex scored. Which equation can be used to find, a, the number of points Alex scored?

• 25 + 3 = 2a

• 25 = 3 + 2a

• 2(25) + 3 = a

• 2(25) = 3 + a

Tags

CCSS.HSA.CED.A.3

Jacob is planning a trip to the amusement park. He has $25.00 to spend on his trip. The admission fee to the park is $15.75, and each ride at the park costs $0.50. He states that the inequality 15.75 + 0.50r ≤ 25.00 represents this situation, where r stands for the number of rides. Jacob determines that the solution to this inequality is r ≤ 18.5, and states that he can go on 19 rides at the amusement park. Explain the flaw in Jacob’s reasoning. If Jacob has $28.50 instead of $25.00, determine the maximum number of rides that Jacob can go on.

Samantha is planning to take a trip. The cost of the plane ticket is $575. She earns $15 an hour (h) and has already saved $135. Which of the following inequalities shows the number of hours (h) Samantha could work in order to buy her ticket? Select TWO that apply.

• 15h + 135 ≤ 575

• 15h + 135 ≥ 575

• 15h ≥ 440

• 15h ≥ 710

Tags

CCSS.7.EE.B.4B

Which of the following integer equations has a negative solution?

• -20x = -1200

• -360 + x = -299

• 137 + x = 128

• -3x = 25 - 52

Tags

CCSS.6.EE.B.7

4. 4. A customer is ordering hats and t-shirts from an online store. Each hat costs $7, and each t-shirt costs $10. The customer receives free shipping in the amount of the order is over $100.

4. Write an inequality that represents all possible combinations of hats, x, and t-shirts, y, in an order that qualifies for free shipping.

Move the correct answer to each box. Not all answers will be used.

​ (a)   ​ x + ​ (b)   y ​ (c)   ​ (d)  

• 100
• 7
• 17
• 10
• >
• <
• =