Practice: System of Equations Word Problems

Last updated over 2 years ago

10 questions

Note from the author:

Solve the following equations using elimination or substitution method. 

Instructions

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? 

What are your equations?

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? 

What are your equations?

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? 

What are your equations?

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? 

What are your equations?

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. 