TEKS A.5C: Solving Systems of Equations

What is the value of y in the solution to this system of equations:

6y + x = -59

x = -2y + 9

• 8.5

• -17

• 43

• 12.5

A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 credits after completing 18 courses. How many courses worth 3 credits did the student complete?

• 13

• 5

• 20

• 39

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

3x - 5y = 22

y = -5x +32

• -6.5

• 0.5

• 6.5

• -0.5

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 is the cost in dollars of each large envelope?

• $1.42

• $0.35

• $1.15

• $0.63

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

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 Rout 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

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

y + 2x = -1

y = (1/2)x + 4

• 6/5

• -2

• -10/3

• 3

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?

Record your answer.

What is the solution to this system of equations?

10x - y = 53

y = (-13x + 92)/2

• (6, 7)

• (2, 33)

• (7, 6)

• (33, 2)