Word Problems
Rational Numbers
Equations/Inequalities
100

Jamie bought 13 large bags of rocks to put around her fishpond. Each bag of rocks costs $11.95 and she paid $15 for delivery. What was the total amount that Jamie paid? 

A. $450.75        C. $615.25

B. $170.35        D. $1321.25

B. $170.35

100

Set A represents rational numbers. Set B represents integers. Which diagram shows the numbers placed in the correct sets?


Answer D 

100

Mickey and his friends are spending the day at the fair. The fair charges $5 for admission and games cost $2.50 each. Which inequality can be used to find x, the number of games Mickey can play if he wants to spend no more than $50?

A. 5 + 2.5x ≥ 50        C. 5x + 2.5 ≥ 50

B. 5 + 2.5x ≤ 50        D. 5x + 2.5 ≤ 50 

Answer B

200

 The menu at Tam’s Taco Truck is shown below.  Hector ordered 3 pork tacos, 2 steak taco, 2 orders of churros, and a soft drink. The sales tax for the order was $2.75. Hector paid for his order with a $50 bill. 

Select TWO correct answers.

A.  Hector received $21.75 in change.       

B.  Hectors total before tax was $24.50.   

C.  Hector received $25.50 in change.

D.  Hector received $3.26 in change.

E.  Hectors total with tax was $28.25.

Answer A and Answer E

200

 What is the value of the expression 2 2/4(10.5)?

A. 30 1/4       C. 26 1/4

B. 57 3/8       D. -24 3/8

Answer C

200

Jacob went to 7-11 and bought bags of Takis for $2.50 each and he had a coupon for $3.00 off. How many bags, x, of hot fries did Jacob buy if he spent $9.50?

A. 2       C. 6

B. 5       D. 3

Answer B

300

Jorge gave the pizza delivery driver $50.00 to pay for 4 pizzas. The delivery driver gave him $12.20 in change. If the pizzas cost the same amount, what is the cost of each pizza? 

$9.45

300

 Which situation is best represented by the following equation? 

22.99m + 39 = 452.82    


A. Michele paid $452.82 for her gym membership. She paid $22.99 for each month she was a member of the gym and received a $39.00 discount for being a new member. What is m, the number of months Michele paid for a gym membership?

B. Michele paid $452.82 for her gym membership. She paid a $22.99 start-up fee and $39.00 for each month she was a member of the gym. What is m, the number of months Michele paid for a gym membership?

C. Michele paid $452.82 for her gym membership. She paid a $39.00 start-up fee and $22.99 for each month she was a member of the gym. What is m, the number of months Michele paid for a gym membership?

D. Michele and Scott paid $452.82 for gym memberships. Michele paid a $39.00 per month for a premium membership and Scott paid $22.99 for each month for a basic membership. What is m, the number of months Michele and Scott paid for gym memberships?

Answer C

300

 Three days a week, Vanessa goes on a walk before work.


  • On Mondays, Vanessa walks 2 3/4 miles.

  • On Wednesdays, she walks 3 1/4 miles

  • On Fridays, Vanessa walks 2 1/2 miles.


 What is the total number of miles Vanessa will walk in two weeks?

A. 25 1/2 Miles          C. 17 Miles

B. 8 1/2 Miles            D. 20 1/4 Miles


Answer A

400

 Jessica is a coin collector. She has 150 coins in her collection.

  • 2/5 of the coins are from the United States.

  • 1/2 of the coins are from Europe.

  • The remaining coins are from South America.                                                                    How many coins in Jessica's collection are from South America?

15 Coins

400

Liliana has two pieces of ribbon she is using to make hair bows.

  • The length of the shorter piece of ribbon can be represented by x.

  • The longer piece of ribbon is 4 times the length of the shorter piece of ribbon.

  • The sum of the lengths of both pieces of ribbon is 12 feet                                                                                                                        What is x, the length of the shorter piece of ribbon?








Answer 3 feet

400

Find the value of the expression.

─3 1/4 ÷ 4 1/3

Answer -3/4

500

 Penny needs 14 1/2 yards of fabric to make costumes for a school play. She has one piece of fabric that is 6 3/4 yards and another piece of fabric that is 3 1/2 yards. How many more yards of fabric does Penny need to make the costumes?

A. 10 1/4 yards       C. 4 1/4 yards

B. 5 1/2 yards         D. 6 1/4 yards

C. 4 1/4 yards

500

 Jessica is selling Donuts at a bake sale. She made 120 donuts to sell.

  • 1/3 of the donuts are chocolate.

  • 3/10 of the donuts are jelly filled donuts.

  • 1/4 of the donuts are glazed donuts.

  • The remaining donuts are cake donuts. 

How many donuts were cake donuts?

Answer 14

500

Mason had 6 1/4 bags of rocks left over after putting them around his fishpond. He gave them to his neighbor to use in his yard. If each bag of rocks can cover 10.5 ft2, how many square feet will his neighbor be able to cover if he uses all of Mason’s left-over bags of rocks?

Answer 65.625