Page 1
1.
Determine whether
( )
4, –4
is a solution to the following system.
–6 + 7 –52
–3 + 4 –28
xy
xy
=
=
A)
It is not a solution.
B)
It is a solution.
2.
Determine whether
( )
5,5
is a solution to the following system.
–2 + 3 5
4 + 5 10
xy
xy
=
=
A)
It is not a solution.
B)
It is a solution.
3.
Determine whether
is a solution to the following system.
4–6
4 – 8
yx
yx
=
=
A)
It is not a solution.
B)
It is a solution.
4.
Determine whether
( )
–4,5
is a solution to the following system.
–23 – 7
24 – 4
yx
yx
=
=
A)
It is a solution.
B)
It is not a solution.
Page 2
5.
Estimate the solution of the system pictured.
A)
( )
0,1
B)
( )
–1, –4
C)
( )
6,3
D)
( )
–4,0
and
( )
8,0
6.
Estimate the solution of the system of equations pictured.
Page 3
7.
Estimate the solutions of the system of equations pictured.
8.
Estimate the solutions of the system of equations pictured.
9.
From the graph shown, identify where y1 < y2. Give your answer in interval form.
Page 4
10.
From the graph shown, identify where y1 > y2. Give your answer in interval form.
11.
Solve this system of equations by sketching the graphs and estimating the solution.
5x + y = –8
3x – 4y = 9
12.
The following graph represents the annual operating expenses and the annual sales (both
in $1,000s) for a new graphics business.
In what year did sales finally equal expenses?
Page 5
13.
Determine which ordered pairs are solutions to the system of equation.
3x + 3y = 9
–2x – 4y = –8
A)
(2, –1)
B)
(–2, 1)
C)
(2, 1)
D)
(2, 2)
14.
Franklin Meadows is considering opening a lumber business. He estimates that his
total expenses will be represented by the formula Mexpenses = 17.1 + 3.8x and that his
total sales will be estimated by the formula Msales = 11.4x – 28.5. (Where x is the
number of years the business has been operating and M is in $1,000s.) How many
years will it take for Franklin’s sales to equal his expenses?
15.
Victoria has been hired by C&M sales to be an account representative. She has been
offered two salary options. Option A has a base pay of $880 per week with a
commission of $26 for every thousand dollars in sales. Option B has a base pay of
$160 per week with a commission of $42 for every thousand dollars in sales. How
many thousands of dollars in sales would Victoria need to reach each week in order for
the two options to be equal?
Page 6
Answer Key