Systems of Equations Review EOC

Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount.

The first customer paid $12 for 14 postcards and 5 large envelopes.

The second customer paid $24.80 for 10 postcards and 15 large envelopes.

What was the cost in dollars of each large envelope?

• $1.42

• $0.35

• $1.15

• $0.63

Tags

CCSS.8.EE.C.8C

What is the x-value of the solution to this system of equations?

x=2y - 4

7x + 5y = -66

• -2

• -19/7

• -8

• -62/19

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A bus travels two different routes: the Green Route and the Blue Route. The routes are different lengths.

-On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.

-On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.

What is the length of the Green Route in miles?

• 4.4 miles

• 4.5 miles

• 6.4 miles

• 6.8 miles

Tags

CCSS.8.EE.C.8C

What is the value of x in the solution to this system of equations?

y + 2x = -1

y = ½x + 4

• 6/5

• -2

• -10/3

• 3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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?

• 13

• 8

• 21

• 15

Tags

CCSS.7.EE.B.4A

What is the solution to this system of equations?

• (6, 7)

• (2, 33)

• (7, 6)

• (33, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

One wall inside 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

Tags

CCSS.8.EE.C.8C

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system of equations below?

4x - 7y = -2

12x - 21y = -42

• (-½, 0)

• (0, 2/7)

• There are an infinite number of solutions

• There is no solution

Tags

CCSS.8.EE.C.8B

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6