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Algebra - Review (Parallel.Perpendicular.Direct.Inverse)

Total questions: 20

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

Evaluate f(-2) if f(x) = x2+ 3x +1

a)

-1

b)

1

c)

7

d)

-7

2.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
3.

Identify the zeros of the function

f(x)= -2x - 6

(a)  

4.

What is the slope of the line 5x-10y=21

a)

-5/10

b)

-10/5

c)

1/2

d)

-2

5.

Which equation represents this graph.

a)


y=−43x − 2y=-\frac{4}{3}x\ -\ 2

b)

y=23x−2y=\frac{2}{3}x-2

c)

4x−2y=34x-2y=3

d)

4x−3y=64x-3y=6

6.

Which equation represents the line that passes through the point (1,-4) and has a slope of 3

a)

y = 3x - 7

b)

y = 3x - 3

c)

y = 3x + 1

d)

y= 3x + 7

7.

Which equation represents the vertical line passing through (3,4)

a)

x = 3

b)

x = 4

c)

y = 3

d)

y = 4

8.

Which equation represents the horizontal line passing through (4,3)

a)

x = 3

b)

x = 4

c)

y = 3

d)

y = 4

9.

What is the slope of the line that is parallel to the line 4x + 2y = 6

(a)  

10.

What is the slope of the line that is perpendicular to the line 4x + 2y = 6

a)

-2

b)

- 2

c)

12\frac{1}{2}

d)

−12-\frac{1}{2}

11.

Parallel lines have ....

a)

The same slope and same y-intercept

b)

The same slope and different y-intercept

c)

The negative reciprocal slope and same y-intercept

d)

The negative reciprocal slope and different y-intercept

12.

Perpendicular lines have ....

a)

The same slope and same y-intercept

b)

The same slope and different y-intercept

c)

The negative reciprocal slope and same y-intercept

d)

The negative reciprocal slope

13.

Which equation would have graph that is parallel to the graph of the following equation?

 y=−12x − 3y=-\frac{1}{2}x\ -\ 3  

a)

 y=−2x +3y=-2x\ +3  

b)

 y=2x +1y=2x\ +1  

c)

 y=−24x+1y=-\frac{2}{4}x+1  

d)

 y=24x −1y=\frac{2}{4}x\ -1  

14.

Let f(x) = x + 2 . The graph of g(x) is shown.  The slope of g(x) is

a)

 14\frac{1}{4}  of the slope

b)

Double the slope

c)

Three times the slope

d)

Two less than the slope

15.

Given the graph, which information best describes the line after it has been translated two units down.

a)

Slope of −14-\frac{1}{4} and y -intercept of 1

b)

Slope of 14\frac{1}{4} and y - intercept of -1

c)

Slope of \frac{1}{4} and y - intercept of 0

d)

Slope of -\frac{1}{4} and y -intercept of 0

16.
Does the table show an inverse variation?
a)
Yes
b)
No
17.
What kind of variation is shown in this graph?
a)
Inverse
b)
Direct
18.
What kind of variation is shown in the graph?
a)
Direct
b)
Inverse
19.
Which of the following represents direct variation?
a)
y = kx
b)
y = k/x
c)
y = x/k
d)
y = mx + b
20.
Which of the following represents indirect variation?
a)
y = kx
b)
y = k/x
c)
y = x/k
d)
y = mx + b