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WorksheetsLinear Relationships 3.1 - 3.6
Total questions: 42
Worksheet time: 1hrs 27mins
Name
Class
Date
1.
The rate of change between any two points in a linear relationship is the same is called:
a)
Constant Rate of Change
b)
Constant relationship
c)
Proportional
2.
What does slope measure?
a)
A line
b)
Steepness of a line
c)
Length of a line
d)
Rate of Change
3.
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
4.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
5.
What direction is an undefined slope?
a)
horizontal
b)
vertical
c)
oblique
d)
straight
6.
What type of slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
7.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
8.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
9.
Find the slope from the table:
a)
-2/5
b)
-5/2
c)
5/2
d)
2/5
10.
What is Brad's slope in terms of sit-ups?
a)
1 sit-up per day
b)
5 sit-ups per day
c)
15 sit-ups per day
d)
10 sit-ups per day
11.
Determine the Constant Rate of Change?
a)
-10 ft per second
b)
15 ft per second
c)
10 ft per second
d)
-15 ft per second
12.
Find the slope:
(-3, 3) and (7, 6)
(-3, 3) and (7, 6)
a)
3/4
b)
-4/3
c)
3/10
d)
-10/3
13.
Find the slope:
(8,5) and (-9, 5)
(8,5) and (-9, 5)
a)
Zero
b)
Undefined
c)
-10/17
d)
-10/1
14.
What does the Direct Variation Equation look like?
a)
y= kx
b)
y = mx + b
c)
y = b
d)
y = x
15.
Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?
a)
y=1344x
b)
y=100x
c)
y=5.25x
d)
y=4/21x
16.
The interest received on a savings account varies directly with the amount deposited. Daniel received $55.35 in interest on $1230 he deposited. How much interest would Daniel have received if he had deposited $2000 into his account?
a)
34.04
b)
90.00
c)
1,285.35
d)
44,444.44
17.
The number of kilograms of water in a person’s body varies directly as the person’s mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person whose mass is 75 kg?
a)
50 kg water
b)
72 kg water
c)
94 kg water
d)
150 kg water
18.
What ordered pair does a direct variation always go through when graphed?
a)
(0, 0)
b)
(1, 0)
c)
(0, 1)
d)
(1, 1)
19.
The number of calories in a container of milk is directly proportional to the amount of milk in the container. If there are 160 calories in an 8-ounce glass of milk, find the number of calories in a 15-ounce glass of milk.
a)
120 Calories
b)
250 Calories
c)
300 calories
d)
2400 calories
20.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
21.
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
22.
Find the slope of the line that passes through (-9, -6) and (-9, -10)
a)
0
b)
Undefined
c)
-3
d)
-9
23.
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
24.
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)
25.
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
26.
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)
27.
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
28.
Which equation is written in STANDARD form?
a)
y = 1/2x + 2
b)
y - 3 = -5(x + 2)
c)
-7x + 2y = 9
d)
3x + 2 = y
29.
Give the x-intercept
3x + 8y = 24
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
30.
Find the x and y intercepts
4x - 5y = 40
4x - 5y = 40
a)
x intercept is 10
y intercept is 8
y intercept is 8
b)
x intercept is 10
y intercept is 20
y intercept is 20
c)
x intercept is 8
y intercept is 10
y intercept is 10
d)
x intercept is 10
y intercept is -8
y intercept is -8
31.
Write an equation
m = 5/4 through (-4, -3)
m = 5/4 through (-4, -3)
a)
5x + 4y = -8
b)
5x - 4y = 8
c)
5x - 4y = -8
d)
5x - y = -17
32.
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
33.
Name the x- and y-intercepts for the equation:
2x + y = 6
2x + y = 6
a)
(0, 3) and (6, 0)
b)
(0, -3) and (-6, 0)
c)
(3, 0) and (0, 6)
d)
(-3, 0) and (0, -6)
34.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
35.
What slope is parallel to:
m = 3/4
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
36.
What slope is perpendicular to:
m = 5/8
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
37.
y = 6x + 2
y = -6x + 2
These lines are...
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
38.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
39.
a)
Paralell
b)
Perpendicular
c)
Neither
40.
a)
Parallel
b)
Perpendicular
c)
Neither
41.
a)
-2/9
b)
-9/2
c)
2/9
d)
9/2
42.
a)
-7/13
b)
-13/7
c)
7/13
d)
13/7
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