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WorksheetsALGEBRA I - BENCHMARK PRACTICE2024
Total questions: 75
Worksheet time: 4hrs 45mins
Name
Class
Date
1.
A1.F-IF.B.6
Find the slope of the given points (20 , -7) and (-13 , -19).
a)
33/12
b)
-33/12
c)
12/33
d)
-12/33
2.
A1.F-IF.B.6
Find the slope of the given two points using the slope formula. (8, -2) and (-3 , -2)
a)
-4/11
b)
11/4
c)
0
d)
undefined
3.
A1.F-IF.B.6
Find the slope of the given points (5,-7) and (1, 4).
a)
11/4
b)
-11/4
c)
undefined
d)
0
4.
A1.F-IF.B.6
Find the slope of the given points (10 , 6) and (9, 3).
a)
-1
b)
1/3
c)
1
d)
3
5.
A1.F-IF.B.6
Find the slope of the given points (14 , 0) and (0 , -14).
a)
-1
b)
1/14
c)
1
d)
14
6.
A1.F-IF.B.6
Find the slope of the given points (-9, -5) and (-13 , -1)
a)
-1
b)
1/14
c)
1
d)
14
7.
A1.F-IF.B.6
Find the slope of the given points (-18 , -6) and (16 , 21)
a)
27/34
b)
-27/34
c)
34/27
d)
-34/27
8.
A1.F-IF.B.6
Find the slope of the given two points using the slope formula. (0 , 10) , (10 , -15)
a)
-2/5
b)
5/2
c)
2/5
d)
-5/2
9.
A1.F-IF.B.6
Find the slope of the graph.
a)
-1/3
b)
-3
c)
1/3
d)
3
10.
A1.F-IF.B.6
Find the slope of the graph.
a)
-1/2
b)
-2
c)
1/2
d)
2
11.
A1.F-IF.B.6
Find the slope of the graph.
a)
0
b)
undefined
c)
1
d)
-1
12.
A1.F-IF.B.6
Find the slope of the graph.
a)
5
b)
-5
c)
1/5
d)
-1/5
13.
A1.F-IF.B.6
John is a civil engineer and he is trying to calculate the slope of a road that passes through two points with coordinates (-6,4) and (6,-5). What is the slope of the road?
a)
-3/4
b)
3/4
c)
4/3
d)
-4/3
14.
A1.F-IF.B.6
Which graph has a slope of 5/4?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
15.
A1.F-IF.B.6
Which graph has a slope of -3/2?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
16.
A1.F-IF.B.6
Which graph has a slope of 1/2?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
17.
A1.F-IF.B.6
Jack is running away from the Giant, and he has a pretty good head start. After 5 seconds, he is 43 feet away from the Giant. After 10 seconds, Jack is 58 feet away. Find the rate of change (slope).
a)
8.6 feet per second
b)
3 feet per second
c)
5.8 feet per second
d)
5 feet per second
18.
A1.F-IF.B.6
At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. What is her rate in feet per second?
a)
10 feet per second
b)
2 feet per second
c)
5 feet per second
d)
6 feet per second
19.
A1.F-IF.B.6
Given the table below, what is the rate of change from 0 to 2 seconds?
a)
2.5 feet per second
b)
5 feet per second
c)
0.4 feet per second
d)
0.2 feet per second
20.
A1.F-IF.B.6
A climber is on a hike. After 2 hours, he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
a)
200
b)
300
c)
150
d)
75
21.
A1.F-IF.B.6
Find the average rate of change of Pete's height from 3 years old to 5 years old.
a)
2 inches per year
b)
2 years
c)
8 inches per year
d)
4 inches per year
22.
A1.F-IF.B.6
The table show's your profit from your summer mowing job. What is the rate of change?
a)
$10 per hour
b)
$20 per hour
c)
$5 per hour
d)
$12 per hour
23.
A1.F-IF.B.6
Which statement describes the rate of change of the line?
a)
$30 each week
b)
$20 each week
c)
$25 each week
d)
$70 each week
24.
A1.F-IF.B.6
A town's population grew from 5,000 people in 2010 to 7,500 people in 2020. What is the slope of the population growth?
a)
260
b)
300
c)
250
d)
150
25.
A1.F-IF.B.6
Calculate the average rate of change from 20 to 40 minutes.
a)
-2 gallons per minute
b)
2 gallons per minute
c)
20 gallons per minute
d)
-20 gallons per minute
26.
A1.A-REI.B.3
Solve for the value of the variable x in the equation:
3x - 8 = 1
a)
x = -3
b)
x = 3
c)
x = 1/3
d)
x = -1/3
27.
A1.A-REI.B.3
Solve for the value of the variable y in the equation:
8y + 18 = -14
a)
y = -1
b)
y = 1
c)
y = -4
d)
y = 4
28.
A1.A-REI.B.3
Solve for the value of the variable x in the equation:
5x - 7 = 13
a)
x = 4
b)
x = -4
c)
x = 5/6
d)
x = -5/6
29.
A1.A-REI.B.3
Solve for the value of the variable x in the equation:
10 + 6x = 34
a)
x = -6
b)
x = 6
c)
x = -4
d)
x = 4
30.
A1.A-REI.B.3
Solve for the value of the variable r in the equation:
-3r - 11 = 22
a)
r = -11
b)
r = 11
c)
r = 11/3
d)
r = -11/3
31.
A1.A-REI.B.3
Solve for the value of the variable g in the equation:
-4g = 10
a)
g = 5
b)
g = -5
c)
g = -5/2
d)
g = 5/2
32.
A1.A-REI.B.3
Solve for the value of the variable g in the equation:
3g + 2g = 25
a)
g = 5
b)
g = -5
c)
g = -5/2
d)
g = 5/2
33.
A1.A-REI.B.3
Solve for the value of the variable y in the equation:
-28 = 4y
a)
y = 7
b)
y = -7
c)
y = 24
d)
y = -24
34.
A1.A-REI.B.3
Solve for the value of the variable x in the equation:
3(x - 2) = 12
a)
x = 3/2
b)
x = 2/3
c)
x = -6
d)
x = 6
35.
A1.A-REI.B.3
Solve for the value of the variable t in the equation:
4t - 2t = 15 + 11
a)
t = -26
b)
t = 26
c)
t = -13
d)
t = 13
36.
A1.A-REI.B.3
Solve for the value of the variable y in the equation:
5y + 3y + 2y +10 = 50
a)
x = -4
b)
x = 4
c)
x = 6
d)
x = -6
37.
A1.A-REI.B.3
Perform the given operations by combining like terms.
3x + 4x + 9 +16
a)
7x + 25
b)
-7x + 25
c)
7x - 25
d)
-7x - 25
38.
A1.A-REI.B.3
Perform the given operations by combining like terms.
-5y -10 + 3y + 10
a)
-2y + 20
b)
2y
c)
-2y
d)
8y + 20
39.
A1.A-REI.B.3
Perform the given operations by combining like terms.
6(y + 3)
a)
6y
b)
6y + 24
c)
6y + 3
d)
6y + 18
40.
A1.A-REI.B.3
Perform the given operations by combining like terms.
5(2x) + 3x - 5
a)
-13x + 5
b)
13x - 10
c)
13x - 5
d)
10x - 5
41.
A1.A-REI.B.3
Perform the given operations by combining like terms.
20 + 4(3x - 1)
a)
12x - 16
b)
-12x + 16
c)
12x + 16
d)
-12x - 16
42.
A1.A-REI.B.3
Perform the given operations by combining like terms.
3t - 5t +19 + 2(2s)
a)
4s - 2t + 19
b)
-4s - 2t + 19
c)
4s + 2t + 19
d)
4st + 19
43.
A1.A-REI.B.3
Perform the given operations by combining like terms.
2(3x + 6) + 10 + 4x
a)
-10x + 22
b)
10x + 22
c)
10x - 22
d)
-10x - 22
44.
A1.A-REI.B.3
Solve for the value of the variable r in the equation:
5(3r + 1) = 35
a)
r = -1/2
b)
r = 1/2
c)
r = 2
d)
r = -2
45.
A1.A-REI.B.3
Solve for the value of the variable t in the equation:
4t - 5t = -16
a)
t = -16/9
b)
t = 16/9
c)
t = 16
d)
t = -16
46.
A1.A-REI.B.3
Solve for the given linear equation given the value of one variable
2x + 3y = 18 when y = 0
a)
x = -6
b)
x = 6
c)
x = 9
d)
x = -9
47.
A1.A-REI.B.3
Solve for the given linear equation given the value of one variable
2x + 3y = 18 when x = 3
a)
y = -4
b)
y = 4
c)
y = 3
d)
y = -3
48.
A1.A-REI.B.3
Solve for the given linear equation given the value of one variable
3r - 5t = 20 when t = 5
a)
r = -15
b)
r = 15
c)
r = 20
d)
r = -20
49.
A1.A-REI.B.3
Solve for the given linear equation given the value of one variable
3r - 5t = 20 when r = 0
a)
t = 4
b)
t = -4
c)
t = 20/3
d)
t = -20/3
50.
A1.A-REI.B.3
Solve for the given linear equation given the value of one variable
9a + 6b = 36 when a = -4
a)
b = -6
b)
b = 6
c)
b = -12
d)
b = 12
51.
A1.A-CED.A.2
What is 'b' in this linear equation? y= 5x - 6
a)
6
b)
-6
c)
y
d)
-5
e)
52.
A1.A-CED.A.2
If a line has the equation y=5−2x, what is the slope?
a)
5
b)
-2
c)
2
d)
-5
53.
A1.A-CED.A.2
Write a linear equation in Slope-Intercept Form.
m=-6 b = -9
a)
y = -9x - 6
b)
y = -6x - 9
c)
y = -6x + 9
d)
y = 6x - 9
54.
A1.A-CED.A.2
Write a linear equation in Slope-Intercept Form.
Slope = 5/7 and y - intercept = 6
a)
y = 7/5x + 6
b)
y = 5/7x - 6
c)
y = 7/5x - 6
d)
y = 5/7x + 6
55.
A1.A-CED.A.2
Write a linear equation in Slope-Intercept Form.
Slope = 1 and y - intercept = -7
a)
y = - x
b)
y = x + 7
c)
y = - x - 7
d)
y = x - 7
56.
A1.A-CED.A.2
Write the linear equation in slope intercept form.
a)
y = 5/2x + 1
b)
y = -2/5x - 1
c)
y = 2/5x - 1
d)
y = -2/5x + 1
57.
A1.A-CED.A.2
Find the y intercept for
4x + 5 = y
a)
(5,0)
b)
(0,5)
c)
(4,0)
d)
(0,1)
58.
A1.A-CED.A.2
Find the x-intercept for
x - y = 1
a)
(1,0)
b)
(0,1)
c)
(-1,0)
d)
(0,-1)
59.
A1.A-CED.A.2
Which ordered pair could represent a y-intercept on a graph?
a)
(6,0)
b)
(-1, 3)
c)
(0,4)
d)
(2,0)
60.
A1.A-CED.A.2
What is the x-intercept shown on the graph?
a)
(2, 0)
b)
(0,3)
c)
(-2,0)
d)
(3,0)
61.
A1.A-CED.A.2
What is the y-intercept of the line represented by the equation y=−4x+8?
a)
(0, 8)
b)
(8, 0)
c)
(0, -4)
d)
(-4, 0)
62.
A1.A-CED.A.2
Which of the following equations has an x-intercept of (4, 0)?
a)
y=x−4
b)
y=2x+8
c)
y=−x+4
d)
y=4−2x
63.
A1.A-CED.A.2
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(0, 3)
c)
(3,0)
d)
None of these
64.
A1.A-CED.A.2
What is the x-intercept?
a)
(12,0)
b)
(0,8)
c)
(-3,0)
d)
(0,12)
65.
A1.A-CED.A.2
Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)
a)
(8,10)
b)
(0,8)
c)
(3,-4)
d)
(9,0)
66.
A1.A-CED.A.2
What are the x- and y -intercepts on this graph?
a)
(0,5), (0,5)
b)
(5,0), (0,5)
c)
(5,0), (5,0)
d)
(0,0), (5,0)
67.
A1.A-CED.A.2
What is the slope of y=-2x+5?
a)
-2
b)
2
c)
-5
d)
5
68.
A1.A-CED.A.2
In y = mx + b, what does 'm' represent?
a)
Equation
b)
Slope
c)
Variable
d)
y-intercept
69.
A1.A-CED.A.2
Write the equation in slope-intercept form whose whose m = 1and y - intercept =-9?
a)
y = x-9
b)
y=1x-9
c)
y+1x-9
d)
y=1x+-9
70.
A1.A-CED.A.2
Determine the slope and y-intercept. y = 3/2x + 3
a)
slope: 5 y-intercept: (0,3)
b)
slope: 4 y-intercept: (0,3/2)
c)
slope: 3/2 y-intercept: (0,3)
d)
slope: 1/5 y-intercept: (0,5)
71.
A1.A-CED.A.2
What is the equation of a line when m = -3 and b = 5?
a)
y = -3x + 5
b)
y = 5x + 3
c)
y = -3x - 5
d)
y = -5x - 3
72.
A1.A-CED.A.2
Which equation matches the graph?
a)
y= 4/5 x + 4
b)
y= 4x -5
c)
y= 5/4 x + 4
d)
y= 5x + 4
73.
A1.A-CED.A.2
How would you write the equation with a slope of 2/3 and a y-intercept of -3?
a)
y=3/2x+3
b)
y=2/3x-3
c)
y=2/3-3
d)
y=2/3x+3
74.
A1.A-CED.A.2
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x+6
c)
y=3x-6
d)
y=6x+3
75.
A1.A-CED.A.2
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 3x - 2
c)
y = 1/3x - 2
d)
y = -3x - 2
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