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WorksheetsCh 5: Linear Functions
Total questions: 60
Worksheet time: 2hrs 40mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
3.
What is the slope?
a)
m= -2/3
b)
m=3/2
c)
m=-3
d)
m=2
4.
Find the slope given the following points: (5,1) and (3,1)
a)
m=1/4
b)
m=0
c)
m=1
d)
m=undefined
5.
Write in slope intercept form given the slope: m=3 and y int: -2
a)
y=3x-2
b)
y=2/3x
c)
y=-2x+3
d)
y=3x
6.
Find slope:
a)
m= 4
b)
m=1/4
c)
m=-4
d)
m=-1/4
7.
Find the slope between the two given points: (-2,1) and (5,7)
a)
7/6
b)
2
c)
6/7
d)
-2
8.
Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.
a)
y = 3x + 2.5
b)
y = 2.50x + 3
c)
y = 2.50x
d)
y = 3x + 2.50
9.
You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.
a)
y=15x-25
b)
15x+25y=100
c)
25x+y=15
d)
y=15x+25
10.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
11.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
12.
Which situation can be represented by
y = 17x - 8?
y = 17x - 8?
a)
The number of seeds, y, needed to feed 8 hamsters 17 seeds each.
b)
The earnings from a lemonade stand, y, selling glasses at 17 dollars each with $8 in the tip jar.
c)
The cost, y, of buying 17 movie tickets that sell for $8 each.
d)
The cost, y, of buying Star Wars figurines at $17 each with an $8 discount.
13.
Mr. Cabs has a gold membership at the local pet store to buy cheap mice to feed to his iguanas. The function y = 50 + 0.75x can be used to find the cost of purchasing the gold membership and buying x mice from the store. Based on this information, which statement about the graph of this situation is true?
a)
The y-intercept represents the number of mice Mr. Cabs purchased from the store.
b)
The slope of the line represents the cost of purchasing the gold membership.
c)
The y-intercept represents the cost of purchasing the gold membership.
d)
The slope of the line represents the total number of mice purchased by Mr. Cabs.
14.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
15.
Write the equation of the line in slope intercept form given the slope m=2 and point (-3,1)
a)
y=2x+5
b)
y=x+1
c)
y=2x+4
d)
y=2x+7
16.
Transform from standard form to slope intercept form: 2x-3y=10
a)
y=-2x+10
b)
y= 2/3x-10/3
c)
y=-2/3x+ 10/3
d)
y=2/3x+10
17.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
18.
What would the graph of y = 8 look like?
a)
Horizontal line
b)
Vertical line
c)
Slanted line
d)
No way to tell
19.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
20.
The point where the line crosses the y-axis is called the:
a)
origin
b)
x-intercept
c)
y-intercept
d)
slope
21.
What letter represents the slope in the equation y = mx + b ?
a)
x
b)
y
c)
m
d)
b
22.
Find the slope given the following points: (5,1) and (3,1)
a)
m=1/4
b)
m=0
c)
m=1
d)
m=undefined
23.
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
24.
What is the equation of the line?
a)
y = 5x
b)
y = -5x
c)
y = 5
d)
y = -5
25.
What is the equation of the line?
a)
y = 4x
b)
y = -4x
c)
y = 4
d)
x = 4
26.
What is the equation of the line?
a)
y = 2x+8
b)
y = -2x +8
c)
y = 8
d)
x = 2
27.
What is the equation of the line?
a)
y = 3x
b)
x = -3
c)
y = 3
d)
x = 3
28.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
29.
Write the equation of the line in point slope form given the points (2,3) and (-3,1)
a)
y+1=2/5(x-3)
b)
y-3=2/5(x-2)
c)
y-3=2(x-2)
d)
y+1=5(x-3)
30.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
31.
-6x + y = 2
6x + y = 2
These lines are...
6x + y = 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
32.
A line is perpendicular to y = 2x - 7.
What is the slope of this line?
What is the slope of this line?
a)
-2
b)
1/2
c)
-1/2
d)
2
33.
What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
34.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
35.
Transform to standard form: y=-1/2x+3
a)
1/2x+y=3
b)
x+2y=6
c)
2x+2y=6
d)
x+y=3
36.
Given the equation in point slope form, name a slope and a point on the line: y-3=2(x+1)
a)
m=2, point: (1,-3)
b)
m=2, point (2,3)
c)
m=1, point (1,3)
d)
m=2, point (-1,3)
37.
Write the equation in slope intercept form given the slope m=1/2 and point (6,5)
a)
y=1/2x+2
b)
y=1/2x-1
c)
y=2x+1
d)
y=2x-2
38.
The Jones family bought 4 sandwiches and 3 salads. They spent $24. Which equation could represent this problem?
a)
12x=24
b)
3x-4y=24
c)
4x+3y=24
d)
x+y=24
39.
Write in slope intercept form given the slope: m=3 and y int: -2
a)
y=3x-2
b)
y=2/3x
c)
y=-2x+3
d)
y=3x
40.
What is the slope of the equation?
y = -3x + 4
y = -3x + 4
a)
-3
b)
4
c)
-4
d)
3
41.
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
42.
Find the value of y when x = 2.
a)
2
b)
6
c)
7
d)
8
43.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
44.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
beans
c)
nothing
d)
slope
45.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
46.
Which equation represents slope intercept form?
a)
y - 1 = 2(x + 3)
b)
5y=x+5
c)
y=2x+5
d)
4y+2x=8
47.
y = 3x +2
y = 3x - 3
These lines are...
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
48.
What is the linear parent function?
a)
f(x) = x
b)
y = mx + b
c)
f(x) = 2x
d)
f(x) = y
49.
How did the equation shift from the parent function? y=x+2
a)
translated up 2
b)
translated down 2
c)
steeper
d)
translated right 2
50.
How did the equation change from the parent function? y=1/2x
a)
Steeper
b)
shift up
c)
Less steep
d)
shift down
51.
Troy graphed the line of the equation f(x) = 5x + 2. Sarah
graphed the line of the equation g(x) = 5x – 2 on the same
coordinate plane. Which of the following statements best
describes the line that Sarah graphed?
graphed the line of the equation g(x) = 5x – 2 on the same
coordinate plane. Which of the following statements best
describes the line that Sarah graphed?
a)
Less steep by 2
b)
Vertical shift up 4
c)
Vertical shift down 4
d)
Steeper by 2
52.
If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?
down, which of the following equations would the new graphed
line represent?
a)
f(x) = 7x
b)
f(x) = x - 7
c)
f(x) = x + 7
d)
f(x) = 7x - 7
53.
Order the following equations from steeper to less steep.
1. y=5x
2. y=1/2x
3. y=3x
4. y=1/3 x
1. y=5x
2. y=1/2x
3. y=3x
4. y=1/3 x
a)
1, 3, 2, 4
b)
2, 4, 3, 1
c)
1, 2, 4, 3
d)
2, 3, 4, 1
54.
What is Mr. Kaufman's favorite color?
a)
Green
b)
Yellow
c)
Blue
d)
Red
55.
Which of the following artists is NOT one of Mr. Kaufman's favorites?
a)
Twenty One Pilots
b)
Chance the Rapper
c)
The Beatles
d)
Bruno Mars
56.
What is the capital of Australia?
a)
Sydney
b)
Canberra
c)
Melbourne
d)
Darwin
57.
What is the Flash's real name?
a)
Clark Kent
b)
Bruce Wayne
c)
Barry Allen
d)
Tony Stark
58.
Who is this?
a)
Thanos
b)
Ares
c)
General Zod
d)
Red Skull
59.
Isn't this the best math class ever?
a)
No
b)
Yeah I guess
c)
I don't know man
d)
This class is so lit
60.
Describe the transformations needed to transform this line to a position that will collect the stars and achieve success.
a)
rotate less steep, translate up 3
b)
rotate steeper, translate down 3
c)
rotate steeper, translate up 3
d)
rotate less steep, translate down 3
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