WorksheetsLinear Equations Test
Total questions: 45
Worksheet time: 11hrs 15mins
Name
Class
Date
1.
Find the slope-intercept form of the equation of the line that passes through the points (-4, -5) and (-2, -1).
a)
A. y = 2x+3
b)
B. y = -2x + 3
c)
C. y = -2x - 3
d)
D. y = 2x - 3
2.
Find the slope-intercept form of the equation of the line that passes through the point (1, -5) and has a slope of -2.
a)
A. y = 2x + 3
b)
B. y = -2x - 3
c)
C. y = 2x - 3
d)
D. y = -2x + 3
3.
Find a linear equation in slope-intercept form that models the situation. A computer repair person charges $45 plus $35 per hour.
a)
A. C=45(35) + x
b)
B. C = 35 + 45x
c)
C. 45 = 35 C + x
d)
D. C = 45 + 35x
4.
Which shows the equation in slope-intercept form?
a)
A. y=2/3x + 5
b)
B. 3y = 2x + 15
c)
C. y = 2/3x + 53
d)
D. 2x + 3y = -15
5.
Which shows the equation in standard form?
a)
A. y = -2/3x - 1/3
b)
B. 2x-3y = -11
c)
C. y = -2/3x + 11/3
d)
D. 2x-3y = -43
6.
Which of the following is the graph of x + y = 9?
a)
A
b)
B
c)
C
d)
D
7.
A thunderstorm is 180 miles away from Sara's house. It is moving toward her house at a rate of 15 miles per hour. Which equation relates the distance in miles, y, the storm is from Sara's house after x hours?
a)
A. y = 180 – 15x
b)
B. y = (180 – 15)x
c)
C. y = 180x – 15
d)
D. y = 180 + 15x
8.
Write in slope-intercept form the equation of a line having slope 6 and y-intercept -7.
a)
A. x=6y-7
b)
B. y=6x+7
c)
C. y=6x-7
d)
D. y=16x+7
9.
The cost of a school banquet is $85 plus $9 for each person attending. Determine the linear equation that models this problem. What is the cost for 48 people?
a)
A. y=9x-85; $347
b)
B. y=85x -9; $4,071
c)
C. y=85x+9; $4,089
d)
D. y=9x+85; $517
10.
Describe what the graph of the equation y = -2 would look like.
a)
A. Diagonal line with a slope of -2 and y- intercept of 0
b)
B. Vertical line intersecting the x-axis at -2
c)
C. Horizontal line intersecting the y-axis at -2
d)
D. Vertical line crossing the y-axis at -2.
11.
What is the slope of the line represented by the equation? -3y = x - 1
a)
A. -3
b)
B. -1/3
c)
C. 1/3
d)
D. 3
12.
a)
A
b)
B
c)
C
d)
D
13.
a)
A
b)
B
c)
C
d)
D
14.
What is the y-intercept of the following equation? 4x-7y=8
a)
A. (0, 8/7)
b)
B. (0, -8/7)
c)
C. (0, -2)
d)
D. (0, -7/8)
15.
What is the x-intercept of the following equation? 4x-7y=8
a)
A. X-intercept = 4/7
b)
B. X-intercept = 8/7
c)
C. X-intercept = 2
d)
D. X-intercept = 7/8
16.
Write the slope-intercept form of the equation of the line parallel to the equation y=-2x+5 that passes through (0, 1).
a)
A. y= -2x + 1
b)
B. y= 1/2x + 1
c)
C. 2x + y = 1
d)
D. y = 2x + 1
17.
Write the slope-intercept form of the equation of the line perpendicular to y= -3/2x-7 that passes through (3,-2).
a)
A. y = -3/2x - 2
b)
B. y = -3/2x + 3
c)
C. y = 2/3x - 4
d)
D. y= 2/3x
18.
The data shown in the table is linear. Which equation models the data?
a)
A
b)
B
c)
C
d)
D
19.
What is the equation of the vertical line through (-2,-3)?
a)
x = –2
b)
y = –3
c)
–2x – 3y = 0
d)
x = -3
20.
Find the slope and y-intercept of the line, 6x–2y = -24.
a)
A. m = 18; y = 1/3
b)
B. m = -12; y = -1/3
c)
C. m = 3; y = 12
d)
D. m = -3; y = -12
21.
a)
A. x-intercept: -4, y-intercept: 10
b)
B. x-intercept: -10, y-intercept: 4
c)
C. x-intercept: -10, y-intercept: -4
d)
D. x-intercept: 10, y-intercept: -4
22.
Find the slope of the line described by –x – 5y = –5.
a)
A. 5
b)
B. -5
c)
C. -1/5
d)
D. 1/5
23.
Find an equation of the line containing the points (-4, 8) and (-7, 11).
a)
y = -x + 4
b)
y = x + 4
c)
y=−21x+2
d)
y = x + 12
24.
a)
C = 55h + 30
b)
C = 55 + 30h
c)
55h – C = 30
d)
C = 55h – 30
25.
Describe the graph of the line with a y-intercept of 3 and slope -3/4.
a)
A. The line will intersect the y-axis at 3 and fall down 3 units and to the right 4 units.
b)
B. The line will intersect the y-axis at 3 and rise up 3 units and to the right 4 units.
c)
C. The line will intersect the x-axis at 3 and fall down 3 units and to the right 4 units.
d)
D. The line will intersect the x-axis at 3 and rise up 3 units and to the right 4 units.
26.
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
(-4, 7) and (-6, -4)
a)
2/11
b)
13/2
c)
3/10
d)
11/2
27.
Find the slope of the line that passes through:
(5, -10) and (5, -4)
(5, -10) and (5, -4)
a)
undefined
b)
0
c)
- 14/10
d)
10/14
28.
What is the slope of the table?
a)
15
b)
6
c)
1/6
d)
-6
29.
What is the slope?
a)
2/3
b)
3/2
c)
-7
d)
-5
30.
Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)
a)
(8,10)
b)
8, 3, 0, 4, 9
c)
(0,8)
d)
(9,0)
31.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
32.
What is the x-intercept?
a)
12
b)
-3
c)
8
d)
0
33.
Find the slope
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
34.
Find the slope
a)
4/5
b)
5/4
c)
-5/4
d)
-4/5
35.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
36.
Which of the given graphs is a direct variation?
a)
A
b)
B
c)
C
d)
D
37.
Is this a direct variation?
a)
yes
b)
no
38.
Identify the point used for the following equation:
y - 5 = -2(x + 3)
a)
(3 , -5)
b)
(-3 , 5)
c)
(-5 , 3)
d)
(5 , -3)
39.
Match the following equations with their Slope. (It may help to look at the graph)
a)
y =32x + 5
1.
32
b)
2x + 3y = 6
2.
−32
c)
y - 5 = 2 (x + 1)
3.
2
d)
x=2
4.
Undefined
e)
y=2
5.
0
40.
Match the following
a)
Ax + By = C
1.
Standard Form
b)
y = mx + b
2.
Slope-Intercept Form
c)
y - y1 = m (x - x1)
3.
Point - Slope Form
d)
y = kx
4.
Direct Variation
e)
x2−x1y2−y1
5.
Slope Formula
41.
Which equation matches this graph?
a)
y=4/3x+4
b)
y=4/3x
c)
y=2/1x+4
d)
y=2/3x
42.
Which is the graph of the equation ?
y=31x − 2a)
b)
c)
d)
43.
Which is the graph of the equation ?
y = −2x + 1a)
b)
c)
d)
44.
Which is the graph of the equation ?
y = −x + 2a)
A
b)
B
c)
C
d)
D
45.
Given the equation: y=32x+2 Categorize the following.
Categorize the following
same slope: 2/3
Opposite Reciprocal slope: -3/2
y=32x −8
y=−23x+5
3x+2y=15
2x−3y=−8
y−6=32(x+1)
y+8=−23(x+4)
Parallel
Perpendicular
100 %
