Solving Systems of Equations Review

A manager purchased a total of 21 coffee mugs and key chains. Each coffee mug cost $8.50, and each key chain cost $2.75. If the manager spent a total of $132.50, how many coffee mugs did the manager purchase?

• 21
• 8
• 13
• 21

What is the solution to this system of equations?
10x - y  = 53
y = (-13x + 92) / 2

• (6 , 7)
• (2 , 33)
• (7, 6)
• (33 , 2)

One wall of a shoe store is used to display walking shoes and running shoes. There are 135 pairs of shoes in this display. There are 1.5 times as many pairs of walking shoes as there are running shoes on display. How many pairs of walking shoes and running shoes are on display?

• 90 pairs of walking shoes and 45 pairs of running shoes
• 54 pairs of walking shoes and 81 pairs of running shoes
• 45 pairs of walking shoes and 90 pairs of running shoes
• 81 pairs of walking shoes and 54 pairs of running shoes

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions
• (0, -1.5)

What is the value of x in the solution to this system of equations?
3x = 2y + 14
y = - 6x + 18

• 10/3
• 2
• -2
• -10/3

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• perpendicular lines
• 2 of the same line

What is the solution to this system?
2x + 3y = 4
y= 5x - 27

• (5,-2)
• (5, 2)
• (2,3)
• (3,2)

What is the solution?
3x + 2y = 12
2x - 2y = 18

• (3, 4)
• (9, -2)
• (6, -3)
• (6, 3)

What is the solution?
3x + 2y = 12
3x + 2y = 18

• (3, 4)
• Infinitely Many Solutions
• No Solution
• (6, 3)

What is the solution?
3x + 2y = 12
3x + 2y = 12

• (3, 4)
• Infinitely Many Solutions
• No Solution
• (6, 3)