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Practice: System of Equations Word Problems

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Last updated almost 3 years ago
10 questions
Note from the author:
Solve the following equations using elimination or substitution method.
Solve the following equations using elimination or substitution method.
Ms. Kitts works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms. Kitts sold a total of 110 CDs over the 2 weeks. Which system of equations can be used to find l, the number of CDs she sold last week, and t, the number of CDs she sold this week?
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1
Question 1
1.

What are your equations?

Question 2
2.

What is your final answer?

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. How many toppings need to be added to a large cheese pizza from Palanzio’s Pizzeria and Guido’s Pizza in order for the pizzas to cost the same, not including tax?
1
Question 3
3.

What are your equations?

1
Question 4
4.

What is your final answer?

The length of a rectangle is equal to triple the width. Which system of equations can be used to find the dimensions of the rectangle if the perimeter is 86 centimetres?
1
Question 5
5.

What are your equations?

1
Question 6
6.

What is your final answer?

At a restaurant, the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. Which pair of equations can be used to determine t, the cost of a taco, and m, the cost of a small glass of milk?
1
Question 7
7.

What are your equations?

1
Question 8
8.

What is your final answer?

The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156.
1
Question 9
9.

What are your equations?

1
Question 10
10.

What is your final answer?