Font size
S
M
L
XL
WorksheetsChapter 5 Practice Quiz (Lessons 5-1 to 5-4)
Total questions: 100
Worksheet time: 8hrs 13mins
Name
Class
Date
1.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
2.
Find the slope of the line that passes through
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
3.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
4.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
5.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
6.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
7.
What direction is an undefined slope?
a)
horizontal
b)
vertical
8.
Which of the following are ways to find the rate of change?
a)
change in y over change in x
b)
rise over run
c)
subtract y coordinates over subtract x coordinates
d)
all of the above
9.
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)
150
c)
300
d)
75
10.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
11.
Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the slope of the graph?
What is the slope of the graph?
a)
64
b)
128
c)
32
d)
16
12.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
13.
Which statement matches the graph?
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
14.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
15.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
16.
What is the slope of all horizontal lines?
a)
0
b)
undefined
c)
1
d)
-1
17.
What type of slope does the graph have?
a)
positive
b)
negative
c)
zero
d)
undefined
18.
Find the slope of the line that passes through
(-2, 8) and (0, 8)
(-2, 8) and (0, 8)
a)
0
b)
-2
c)
2
d)
1/2
19.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
20.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined
21.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
22.
Find the slope from the table:
a)
-2/5
b)
5/-2
c)
5/2
d)
2/5
23.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
24.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
25.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
26.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
27.
Find the slope of the line that passes through (10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
28.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
29.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
30.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
31.
Find the slope of the line that passes through
(1, -19) and (-2, -7)
(1, -19) and (-2, -7)
a)
-4
b)
4
c)
1/4
d)
-1/4
32.
What is the y-intercept in the following equation: y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
33.
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=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
34.
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
35.
Determine the slope and y-intercept from the following equation: y = 3/2x + 3
a)
slope: 5 y-intercept: (0,3)
b)
slope: 3/2 y-intercept: (0,3)
c)
slope: 4 y-intercept: (0,3/2)
d)
slope: 1/5 y-intercept: (0,5)
36.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
37.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
38.
Which of these lines has a slope of -3?
a)
A
b)
B
c)
C
d)
D
39.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
40.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
41.
What is the equation of this graph?
a)
y = 1/2x + 2
b)
y = -1/2x + 2
c)
y = 2
d)
y = 1/2x - 2
42.
Write the equation of the line.
a)
y=3/5x+1
b)
y=3/5x-1
c)
y=5/3x+1
d)
y=3/5x+1
43.
A line with 0 slope looks like...
a)
A horizontal line
b)
A vertical line
c)
A slanted line
d)
A coordinate pair
44.
Write the equation in slope-intercept form (solve for y):
2y = 10x + 14
2y = 10x + 14
a)
y = 10x + 12
b)
y = 10x + 7
c)
y = 5x + 14
d)
y = 5x + 7
45.
Write the equation in slope-intercept form (solve for y):
y + 4 = 8x
a)
y = 2x
b)
y = 8x - 4
c)
y = 2x
d)
y = 8x + 4
46.
Write the equation in solve-intercept form (solve for y):
3y = 2x + 9
3y = 2x + 9
a)
y = 2/3x + 3
b)
y = 2x + 3
c)
y = 2x + 6
d)
y = 3/2x + 6
47.
Write the equation in slope-intercept form (solve for y):
-10x + y = 3
-10x + y = 3
a)
y = 10x - 3
b)
y = 3 + 10x
c)
y = -3/10x
d)
y = -13x
48.
Write the equation in slope-intercept form (solve for y):
2y + 4x = 12
2y + 4x = 12
a)
y = 12 - 4x
b)
y = 6 - 4x
c)
y = -2x + 6
d)
y = -2x + 4
49.
Write the equation in slope-intercept form (solve for y):
-3y + 5x = 12
-3y + 5x = 12
a)
y = -4 + 5x
b)
y = -4 + 5/3x
c)
y = 4 - 5/3x
d)
y = 12 + 5x
50.
What is the slope of the line with the equation 2y = 10x + 5?
(HINT: SOLVE FOR Y FIRST!)
(HINT: SOLVE FOR Y FIRST!)
a)
10
b)
5
c)
5/2
d)
8
51.
What is the y-intercept of the line with the equation 4y = -3x + 10? (HINT: SOLVE FOR Y FIRST!)
a)
(0, -3/4)
b)
(0, 10)
c)
(0, -3)
d)
(0, 5/2)
52.
What is the slope of the line with the equation y - 5x = 11?
(HINT: SOLVE FOR Y FIRST!)
(HINT: SOLVE FOR Y FIRST!)
a)
-5
b)
11
c)
5
d)
-11/5
53.
What is the y-intercept of the line with the equation -14 + y = -7x? (HINT: SOLVE FOR Y FIRST!)
a)
(0, -7)
b)
(0, 7)
c)
(0, 14)
d)
(0, 2)
54.
What is the slope of the line with the equation 2y - 5x = 15?
(HINT: SOLVE FOR Y FIRST!)
(HINT: SOLVE FOR Y FIRST!)
a)
-5
b)
-5/2
c)
15/2
d)
5/2
55.
What is the y-intercept of the line with the equation 3y + 12 = 7x?
a)
(0, 7)
b)
(0, 12)
c)
(0, 4)
d)
(0, -4)
56.
What is the slope of the line with the equation y = 2? (Hint: picture what type of line this is!)
a)
2
b)
0
c)
Undefined
57.
A line with a positive slope looks like...
a)
A horizontal line
b)
A vertical line
c)
A line that goes uphill from left to right
d)
A squiggly line
58.
What is the slope of the line through the points (2, 4) and (2, -11)?
a)
m = 0
b)
m = -15/0
c)
m = 13/2
d)
m is undefined
59.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
60.
For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
61.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
(4, -7); m = -1/4
a)
y + 7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
62.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3
(-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)
63.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3
(-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)
64.
Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3
a)
y - 5 = -3(x - 10)
b)
y= -3x + 35
c)
y + 5= -3(x + 10)
d)
y= -3x - 35
65.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
66.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
67.
a)
y=2x+7
b)
y=-3x-5
c)
y=2x-1
d)
y=2x+6
68.
Write the equation of a line parallel to the one pictured through the point (3,1) in point slope form.
a)
y-1=1/2(x-3)
b)
y+1=1/2(x+3)
c)
y-1=-1/2(x-1)
d)
y+1=-1/2(x+3)
69.
Write an equation
m = 5/4 through (-4, -3)
m = 5/4 through (-4, -3)
a)
y = 5/4x +2
b)
y = -5/4x + 2
c)
y = 2x - 5/4
d)
y = 3/4x + 2
70.
Write an equation
m = 1/3 through (4, 4)
m = 1/3 through (4, 4)
a)
y = -1/3x + 8/3
b)
y = 8/3x - 1/3
c)
y = 8/3x + 1/3
d)
y = 1/3x + 8/3
71.
Write an equation
m = -1/2 through (-2, 4)
m = -1/2 through (-2, 4)
a)
y = -3/2x + 3
b)
y = 3/2x + 3
c)
y = -1/2x + 3
d)
y = 3x - 3/2
72.
Write an equation
m = 5 through (-1, -3)
m = 5 through (-1, -3)
a)
y = 5x + 2
b)
y = -5x - 5
c)
y = -5x + 2
d)
y = 2x - 5
73.
For the equation
y - 3 = 2(x + 4),
what is the ordered pair?
y - 3 = 2(x + 4),
what is the ordered pair?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
74.
For the equation
y - 3 = 2(x + 4),
which of the following is true?
y - 3 = 2(x + 4),
which of the following is true?
a)
The line has m = 2 passing through the point (4, -3)
b)
The line has m = 2 passing through the point (3, -4)
c)
The line has m = 2 passing through the point (-4, 3)
d)
The line has m = 2 passing through the point (-3, 4)
75.
y + 2 = 3(x +1) Is this linear?
a)
yes
b)
no
76.
y + 2 = 3(x +1)
a)
Increasing
b)
Decreasing
77.
y + 2 = 3(x +1) What form is this?
a)
Slope-Intercept Form
b)
Point Slope Form
c)
Standard Form
78.
y -3 = 2(x - 4) What form is this?
a)
Slope-Intercept Form
b)
Point Slope Form
c)
Standard Form
79.
y -3 = 2(x - 4) What is the given point?
a)
(-3,2)
b)
(-3,-4)
c)
(-4,-3)
d)
(4,3)
80.
y - 5 = -3(x + 4)
a)
Increasing
b)
Decreasing
81.
Write the following equation in slope intercept form:
y + 2 = -3(x - 5)
y + 2 = -3(x - 5)
a)
y = -3x + 17
b)
y = -3x + 13
c)
y = -3x - 13
d)
y = -3x - 17
82.
Given the graph, what is the equation of the line in point slope form?
a)
y - 20 = ½(x - 4)
b)
y - 20 = 5(x - 4)
c)
y + 20= 5(x + 4)
d)
y - 20 = 1(x - 4)
83.
Given the table, what is the equation of the line in point slope form?
a)
y - 12 = ½(x - 6)
b)
y - 4 = ½(x - 8)
c)
y + 2 = ½(x + 4)
d)
y + 6 = ½(x +12)
84.
What is y intercept of the equation y - 3 = 4(x - 0)
a)
4
b)
-3
c)
3
d)
-4
85.
What is the y intercept of the equation y - 6 = -2(x + 5)
a)
-4
b)
-5
c)
-10
d)
6
86.
Which of the following is NOT a direct variation?
a)
y = -2x
b)
y = 1/2x
c)
2x + 3y = 2
d)
3y = 4x
87.
Name the constant of variation (k) for the equation.
a)
2/3
b)
3/2
c)
-2/3
d)
-2
88.
Suppose y varies directly with x when y=6 and x=18. What is y when x=72?
a)
20
b)
18
c)
24
d)
50
89.
Is the given table a direct variation? If so, what is the constant?
a)
Yes; 1/4
b)
Yes; 4
c)
Yes; 2
d)
No
90.
Is this proportional?
a)
yes
b)
no
91.
Is this a direct variation?
a)
yes
b)
no
92.
Is this a direct variation?
y=2x
y=2x
a)
yes
b)
no
93.
A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. Find the amount of pay for 31 hours of work.
a)
$3813
b)
$620
c)
$190.65
d)
$4.96
94.
Write the equation for the table given.
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
95.
The amount y, that Trina gets paid at her job varies directly with the number of hours she works, x. If Trina works 19 hours and earns $187.15, what should she earn if she worked 40 hours?
a)
$394
b)
$440
c)
$472.80
d)
$512.20
96.
In which table(s) does y vary directly as x? (Select all that apply.)
a)
b)
c)
d)
97.
What ordered pair does a direct variation always go through when graphed?
a)
(0, 0)
b)
(1, 0)
c)
(0, 1)
d)
(1, 1)
98.
Is this a direct variation? y =2x + 1
a)
Yes
b)
No
99.
In direct variation as x increases, y _______________.
a)
increases
b)
decreasing
c)
does nothing
100.
In a direct variation as x decreases, y _________________.
a)
increases
b)
decreases
c)
does nothing
Reset
