TEST 1: System of Equations Applications

Tickets to a movie cost $7.25 for adults and $5.50 for children. A family purchased 8 tickets for $52. 75. Which system of equations can be used to find the number of adult tickets, x and the number of children tickets, y, were purchased?

Tickets to a movie cost $7.25 for adults, x, and $5.50 for children, y. If a family purchased 8 tickets for $52.75, how many children tickets were purchased?

Mathematical Equivalence

ON

Hugo has 100 dimes and quarters. The total value of the coins is $21.40. Which system of equations can be used to find the number of dimes, x, and the number of quarters, y, Hugo has?

Hugo has 100 dimes, x, and quarters, y. If the total value of the coins is $21.40, how many dimes, does Hugo have?

Mathematical Equivalence

ON

Greg and Joe are raising money for their class trip by selling cokes. Greg raised $43.50 by selling 12 Dr. Peppers and 9 Sprites. Joe raised $51.50 by selling 8 Dr. Peppers and 15 Sprites. To set up this system of equations, match the following...

• Sprites

• Greg raised...

• Dr. Peppers

• Joe raised...

• y

• x

Daniel bought 3 DVDs, and 4 books for $40 at a yard sale. Oscar bought 1 DVD and 6 books for $18. How much did each DVD, x, and each book, y, cost?​

The equation ​ (a)   ​ can be used to represent Daniel's expenses.

The equation​ (b)   ​ can be used to represent Oscar's expenses.

Daniel bought 3 DVDs, and 4 books for $40 at a yard sale. Oscar bought 1 DVD and 6 books for $18. Which system of equations can be used to find the cost of each DVD, x, and each book, y?

The sum of two number is 36 and their difference is 22. Which two equations make up this system of equations?

Daniel bought 3 DVDs, and 4 books for $40 at a yard sale. Oscar bought 1 DVD, x, and 6 books, y, for $18. How much was each DVD?

Mathematical Equivalence

ON

The sum of two numbers is 6 and their difference is 18. What is the number with the highest value?

Mathematical Equivalence

ON