WorksheetsTEKS A.5C: Solving Systems of Equations
Total questions: 9
Worksheet time: 45mins
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.
(a)
What is the solution to this system of equations?
10x - y = 53
y = (-13x + 92)/2
(6, 7)
(2, 33)
(7, 6)
(33, 2)
