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Worksheets

Study for Linear Functions

Total questions: 20

Worksheet time: 3hrs 8mins

Name
Class
Date
1.
What is the x intercept for the following equation ?
4x - 10y = 20
a)
x - int = 4    
y-int = -10
b)
x-int = 5
y-int = 2
c)
x - int = 5
y int = -2
d)
x -int = 4
y -int = -10
2.

Find the x intercept

y= 4x - 2

a)

(0, -2)

b)

(0.5, 0)

c)

(0, 0.5)

d)

(-2, 0)

3.

Find the slope/ rate of change of the table

a)
b)
c)
d)
4.

What is the rate of change?

a)

15-\frac{1}{5}  

b)

-5

c)

-4

d)

-6

5.

Which graph represents the linear function y = 23x + 4y\ =\ -\frac{2}{3}x\ +\ 4  ?

a)
b)
c)
d)
6.
For the equation
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)
7.

Choose the linear equation that is parallel to the following line

y=43x+1y=\frac{4}{3}x+1  

a)

y=34x+1y=\frac{3}{4}x+1  

b)

y=34x+1y=-\frac{3}{4}x+1  

c)

y=43x+1y=-\frac{4}{3}x+1  

d)

y=43x+5y=\frac{4}{3}x+5  

8.

The graph of a linear function is shown on the grid. Which equation is best represented by this graph?

a)

y+7=3(x4)y+7=-3\left(x-4\right)  

b)

y+1=3(x+2)y+1=-3\left(x+2\right)  

c)

y4=3(x+7)y-4=3\left(x+7\right)  

d)

y2=3(x1)y-2=3\left(x-1\right)  

9.

Write the equation of a line PERPENDICULAR to y + 7 = -2(x - 4) that passes through the point (2, 3).

a)

y=12x+12y=\frac{1}{2}x+\frac{1}{2}

b)

y=12x+2y=\frac{1}{2}x+2

c)

y=12x+7y=\frac{1}{2}x+7

d)

y=12x+8y=\frac{1}{2}x+8

10.
Which equation is being represented by this line?
a)
y = -1x + 2
b)
y = 1/2x + 2
c)
y = 3x -4
d)
y = -3x +2
11.

Which graph best represents the equation y = -3x + 4?

a)
b)
c)
d)
12.
Which is the graph of y= -x + 2? 
a)
A
b)
B
c)
C
d)
D
13.

What is the point slope form equation of the graph given(use blue point in equation)

a)

y + 2 = 32\frac{3}{2} (x + 2)

b)

y - 2 = 32\frac{3}{2} (x - 2)

c)

y + 2 = - 32\frac{3}{2} (x + 2)

d)

y - 2= - 32\frac{3}{2} (x - 2)

14.

Which graph best represents (y3)=65(x5)\left(y-3\right)=\frac{-6}{5}\left(x-5\right) ?

a)
b)
c)
d)
15.

Write the equation in slope-intercept form: 2x + 2y = 6

a)
y = - x + 3
b)
y = x + 3
c)
y = 2x +6
d)
y = - 2x + 6
16.
Convert the standard form equation into slope-intercept form.
4x - 3y = 15
a)
y = (4/3)x - 5
b)
y = ⅔x - 5
c)
x = ¾
d)
y = 27, 239, 430
17.

 Which of the following is the graph of 5x + 2y = 105x\ +\ 2y\ =\ 10 ?

a)
b)
c)
d)
18.

What is the slope of

-6x-2y=9?

a)

9/2

b)

9

c)

-3

d)

-6

19.

Write the equation of the line parallel to the line -2x + 3y = -9, and that goes through the point (-6,10).

a)

y6=23(x10)y-6=\frac{2}{3}\left(x-10\right)

b)

y10=32(x+6)y-10=-\frac{3}{2}\left(x+6\right)

c)

y+10=23(x6)y+10=\frac{2}{3}\left(x-6\right)

d)

y10=23(x+6)y-10=\frac{2}{3}\left(x+6\right)

20.

Write the equation of a line perpendicular to the line x+2y=7, and contains the points (3, -5)

a)

y + 5 = 2(x - 3)

b)

y + 3 = 2(x - 5)