Algebra 1 Problem Set #1
Name _________________
Review for Final and SOL
1.
2.
Due 4/11
Which most likely represents the graph of 2x - y = 2?
A
C
B
D
What is the slope of the line 4x – 8y = 20?
A
B
5
2
1

2

C
1
2
D
2
3.
A local kennel has twice as many cats (c) as dogs (d). When full, the kennel
has a total of 30 cats and dogs. Which system of equations could be used to find
the number of cats in the kennel when it is full?
A
c = 2d
c + d = 30
C
c=d+2
c + d = 30
B
d = 2c
c + d = 30
D
c=d–2
c + d = 30
4.
Identify the property that justifies the work between Step 3 and
Step 4.
Step 1
Step 2
Step 3
Step 4
Step 5
5.
11  3 x  4
11  4  3 x  4  4
15  3 x
1
1
 3  15    3   3 x 
 
 
5 x
A
Distributive Property
C
Multiplication Property of
Inequality
B
Division Property of
Inequality
D
Identity Property of
Multiplication
 x  3y  0

2 x  y  7
Which is the solution to the system of equations shown?
6.
A
1
 1
10 2 , 3 2 


C
1

 3, 3 


B
 3, 1
D
 3, 1
The graph of y = 3x – 6 is shown.
If the line is translated 4 units up, which equation
will best describe the new line?
A
y = 3x – 10
C
y = 3x + 4
B
y = 3x – 2
D
y = 3x + 6
7.
What is the solution to the following equation?
6(x – 3) = 2(13 – x)
8.
A
x=1
B
x=
What are the solutions of the equation
A
B
9.
10.
5
2
11
2
C
x=
D
x = 11
2 x2  x  3 ?
 1 
 ,3
 2 
 1
3, 
 2
C
D
 3
1, 
 2
 3 
 , 1
 2 
Which system of linear inequalities best represents the graph shown?
A
y  2

 y  x 1
C
y  2

 y  x 1
B
y  2

 y  x 1
D
y  2

 y  x 1
Describe the type of solution for the linear system of equations defined by
 2 x  3 y  15

6 y   4 x  12
A
no solution
C
one solution
B
infinite solutions
D
two solutions
11.
12.
13.
If w
 7a  4b , which of the following equations is solved for a?
A a
w  7b
4
C a
B a
w
 4b
7
D
a
w  4b
7
w
 28b
7
A section of a hiking trail begins at the coordinates (-7, 5) and follows a straight path
that ends at the coordinates (3, 9). What is the rate of change of the hiking trail?
A
5
2
C

2
5
B
2
5
D

5
2
Samantha wrote these steps when solving an equation.
step 1 3 + 2(x + 5) = x +18
step 2 3 + 2x + 10 = x +18
step 3 2x + 3 + 10 = x +18
step 4 2x + 13 = x +18
step 5 2x = x + 5
step 6 1x = 5
step 7 x = 5
Which property justifies the work shown between step 6 and step 7?
14.
A
Multiplication Property
C
Distributive Property
B
Inverse Property of
Multiplication
D
Identity Property of
Multiplication
What values of x makes the inequality true?
2  x  4   9 x   4 x  13
A
B
15.
x : x  1
x : x  7
What is the solution of the equation
C
D
x : x  1
x : x  7
1
 6 x  12   8  5 x  14 ?
2
A
x = -8
C
x=5
B
x = -3
D
x=8