Solving Linear Systems Test
Part 1
Answer all questions in this part. Each correct answer will
receive 2 credits. No partial credit will be allowed. Record
your answers to this part on the lines provided.
Name______________________________
4)
1)
5)
2)
3)
6)
Which of the following is the solution to the system of
linear equations below?
y = -2x + 5
y=
3
x2
2
(1) (1,2)
(3) (2,1)
(2) (-2,1)
(4) (1, -2)
7)
Jack bought 3 slices of cheese pizza and 4 slices
of mushroom pizza for a total cost of $12.50.
Grace bought 3 slices of cheese pizza and 2
slices of mushroom pizza for a total cost of $8.50.
What is the cost of one slice of mushroom pizza?
(1) $1.50
(3) $3.00
(2) $2.00
(4) $3.50
Part 2
Answer all questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps,
including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct
numerical answer with no work shown will receive only 1 credit.
8)
Part 3
Answer all questions in this part. Each correct answer will receive 3 credits. Clearly indicate the necessary steps,
including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct
numerical answer with no work shown will receive only 1 credit.
9) a) Graph the simultaneous Inequalities:
b) State whether or not each of the following points lies in the solution set of this system of inequalities.
10) Solve the following system of equations algebraically:
-3x + 5y = 6
y=x-3
Part 4
Answer all questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including
appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with
no work shown will receive only 1 credit.
11)
12)
Joshua buys a new TV for $170. He pays for the TV with $10 and $20 bills, and uses a total of 11
bills to purchase the TV. How many of each kind of bill did Joshua use to pay for the TV?
13)
The cost of 3 markers and 2 pencils is $1.80. The cost of 4 markers and 5 pencils is $2.90. What
is the cost of each item? Include appropriate units in your answer.
14)
Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She is only allowed to
work 13 hours per week. She wants to make at least $65. Write and graph a system of
inequalities to represent the possible combinations of hours Mary can work .