Free Printable Solving Systems Test

Worksheets

Solving Systems Test

Total questions: 16

Worksheet time: 2hrs 2mins

Name

Class

Date

Solve the system

2x + 3y = 6

x + 2y = 5

( 4 , -3 )

( -3 , 4 )

( 3 , 4 )

( 4 , 3 )

Solve the system

-4x - 2y = -12

4x + 8y = -24

( 6 , -6 )

( -6 , 6 )

( 3 , -3 )

8x + 5y = 38

-8x + 2y = 4

(-1,6)

(11, -10)

(1, 6)

Infinite Solutions

No Solutions

Give the solution to the system

(3,1)

(1,3)

(-1,3)

No solution

(10, -1)

(-1, 10)

(-10, 1)

(10, 1)

True or False - Solving a system of equations can be done by Graphing, Substitution, or Elimination

True

False

True or False - If 2 lines have different slopes, then those lines are parallel

True

False

How many solutions will this system have?

No solution

One Solution

I Don't Know

Infinitely Many Solutions

3. What step needs to be taken to perform elimination?
2x+2y=20
-x+6y=10

Combine them

Set them equal

Find the blob

Multiply the bottom by 2

10.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

4x + 6y = 3
13.5x - 13y = 6

x + y = 4
x - y = 6

4x + 6y = 13
3x + 7y = 13.5

4x - 6y = 13
3x - 7y = 13.5

11.

What would be the first step in finding the solution using elimination?

2x + 2y = -2

3x - 2y = 12

you cannot solve this using eliminiation

cross out the 2x and 3x

cross out the 2y and -2y

change to slope intercept form and graph

12.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

1s + 3c = 38
2s + 3c = 52

3s + 1c = 38
3s + 2c = 52

s + c = 38
s + c = 52

3s + 3c = 38
1s + 2c = 52

13.

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

t + n = 54
t = 3n + 8

t + n = 54
n = 3t + 8

t + n = 54
t = 3n - 8

t + n = 8
t = 3n + 54

14.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

y = 9.65 + x
y = 8.40 + x

y = 9.65x + 43
y = 8.40x + 58

y =9.65x
y = 8.40x

y = 9.65x - 43
y = 8.40x - 58

15.

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

Van 43
Bus 14

Van 11
Bus 21

Van 14
Bus 43

Van 17
Bus 45

16.

Lilly wants to get some granola bars. At Kroger you can get 6 strawberry and 4 cherry together for $6.90. At Sam's Club you can get 5 strawberry and 9 cherry for $9.15. How much is the cost of one cherry granola bar?

.60

.20

1.50

1.25

100 %

Solving Systems Test

Total questions: 16

Worksheet time: 2hrs 2mins

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