Review Chapter 7 - Systems of Linear Equations Test 1
Name: _____KEY________________________________
SHOW ALL WORK! No work, no credit
1.) Solve the following systems of equations graphically. 2. Solve the following systems of equations graphically
The solution is (−3,1)
The solution is (2, −3)
y  x4
x y 5
y  x  2
y  3 x  3
3 . Solve the following systems of equations graphically. The solution is (−2, −4)
 3y  9  3
 4x  8
Select the correct answer that lists the solution to the system.
4.)
A.
2x  3y  4  0
 y  x  3
(2,3)
B.
(1, −2)
C. (−1,2)
D. The system has no solution
For the following systems of linear equations (#5,6) solve using the method of your choice and
determine if the system has 1 solution, no solutions, or infinite solutions. .
5.)
6x  10y  30
3x  5y  15
This system of linear equations has infinite
6.)
solutions.
2 x  3y  2
4 x  6 y  7
This system of linear equations has no
solutions.
7.) If a system of equations has one solution, what does the graph look like?
a) intersecting lines
b) parallel lines
c) skew lines
d) same line
8) Solve this system of equations:
𝑥 =𝑦−1
3𝑥 + 2𝑦 = 12
a) (1.25,2.25)
b) (2,3)
c) (2.2,3.2)
d) (3,2)
9) Select the coordinate point that is a solution to this system of equations.
2𝑥 − 𝑦 = 8
3𝑥 − 4𝑦 = 5
a)
b)
c)
d)
(5.4,2.8)
(3.3,1.2)
(2.4,4 − 3.1)
(2,4)
10). When using substitution to solve this system of equations, what is the result of
the first step?
𝑥 = 8𝑦 + 2
𝑥 + 2𝑦 = 9
a)
b)
c)
d)
8x+2+2y=9
8y+2+2y=9
x+2(8y+2)=9
x+2(8x+2)=9
Review Chapter 7 - Systems of Linear Equations Test 3
11) Translate the following sentence into an equation.
The four less than n is no more than twenty-seven.
a) n – 4 ≥ 27
b) n – 4≤ 27
c.) 4 – n ≥ 27
d) 4 – n ≤27
12) Brenda needs to solve the system of linear equations below for her homework assignment.
𝑦 = 14𝑥 − 20
𝑦 =𝑥−7
What is the value of x in the solution to the system of equations below?
a) −1
b) −6
c) 1
d). 14
(13) Some value for two linear equations are show in the tables below.
x
a) (−2,6)
y
x
y
−2
6
−2
−9
0
2
−1
−6
0
0
0
−3
2
−2
2
3
b) (0,2)
c) (−1, −5)
d) (1,0)
(14) Which is a reasonable estimate of x in the solution to this system of linear equations?
−9𝑥 + 𝑦 = −70
2𝑥 − 𝑦 = 32
a)−9
b) −21
c)
3.45
d) 5