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WorksheetsModeling with Linear Equations
Total questions: 20
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
Point-Slope Form:
Write the equation of the line through (8, 11) and (5, -1) in point-slope form.
Write the equation of the line through (8, 11) and (5, -1) in point-slope form.
a)
y+1=4(x-5)
b)
y-1=4(x-5)
c)
y=4x-21
d)
y=4x-19
2.
Graph 2x - y = 4
a)
A
b)
B
c)
C
d)
D
3.
How do you change
y-4=3(x+3) into slope-intercept form?
a)
y=23x-1/23
b)
y=3x+13
c)
y-7x=9
d)
y=13-3x
4.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
5.
Given the following table, write the linear equation.
a)
y = 9x + 3
b)
y = 3x + 12
c)
y = 3x + 9
d)
y = 1x + 12
6.
A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle burns?
a)
y=2x+7
b)
y=-2x+7
c)
y=2-7x
d)
y=7x+2
7.
A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.
a)
c = 2.75b + 4
b)
c = 2.75b
c)
c = 4b- 2.75
d)
c = 2.75b - 4
8.
d=125 + 80n models the amount of money (d) in the register after selling n tickets. How much money does she have in the register before selling any tickets?
a)
$125
b)
$80
c)
$205
d)
$45
9.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
10.
Graph x = 2
a)
A
b)
B
c)
C
d)
D
11.
Graph y = -3
a)
A
b)
B
c)
C
d)
D
12.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
13.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
14.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
15.
Which of the following has a y-intercept of 3?
a)
y = 3x +2
b)
x=3
c)
y=2x+3
d)
y=x
16.
Kim traveled 6 miles in two hours. Which line represents Kim?
a)
Dashed Blue
b)
Solid Black
17.
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
18.
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
19.
Dorothy loves to make cakes. The following table shows how the number of eggs that she has left changes as she makes cakes.
What is the meaning of the y-intercept?
What is the meaning of the y-intercept?
a)
She uses 5 eggs for every 2 cakes.
b)
She started with 47 eggs.
c)
She uses 47 eggs for every 0 cakes.
d)
She started with 5 eggs.
20.
Write an equation for the word problem:
A tree was planted when it was 10 inches tall. It grows 3 inches per week.
A tree was planted when it was 10 inches tall. It grows 3 inches per week.
a)
y = 3x
b)
y = 10x + 3
c)
y = 10x
d)
y = 3x + 10
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