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Linear and Quadratic Function Review

Total questions: 16

Worksheet time: 57mins

Name
Class
Date
1.
What is the slope?
a)
1/2
b)
2
c)
7
d)
3
2.
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
3.
Which equation matches the graph? 
a)
y = 2x
b)
y = 1/4 x + 2
c)
y = 1x + 4
d)
y = -2x
4.
Write the equation of the line.
a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4
5.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:

(-2, -1); m= -3

a)

y = -3(x - 2) - 1

b)

y = -3(x + 2) - 1

c)

y = 3(x - 1) + 1

d)

y = -3(x + 1) - 2

6.

Write an equation of the horizontal line through the point (-2, 3).

a)

x=2x=-2

b)

x=3x=3

c)

y=2y=-2

d)

y=3y=3

7.

Find the equation of the line that passes through the points: (Hint: start in point-slope form)

(-4, -2) and (-3, 5)

a)

y = 1/7 x + 26

b)

y = 7x + 26

c)

y = -7x + 26

d)

y = -7x - 26

8.

When completing the square

x2 - 4x + 4 = 20,

what goes in the blank?

(x - __ )2 = 20

a)

4

b)

2

c)

8

d)

20

9.
What is one of the solutions to this equation?
(2x - 1)2 = 49
a)
7
b)
-7
c)
-4
d)
-3
10.
Complete the Square
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
11.
What should be added to both sides of the following equation to complete the square?
x2 + 12x = 5
a)
12
b)
6
c)
36
d)
5
12.
Factor: x2 – 5x – 24
a)
(x - 5)(x + 19)
b)
(x - 8)(x + 3)
c)
(x - 3)(x + 8)
d)
(x - 19)(x + 5)
13.
In the equation
y = x2 +5x +7, match each leading coefficient with its correct letter 
a)
a=0, b=5, c=7
b)
a=1, b=5, c=7
c)
a=7, b=5, c=1
14.
Solve using the Quadratic Formula.
a)
A
b)
B
c)
C
d)
D
15.
Solve for the values of x:
(x + 2)(x - 3) = 0
a)
{ 2, 3 }
b)
{ -2, -3 }
c)
{ 2, 3 }
d)
{ -2, 3 }
16.

Solve by factoring: 2x2 - 5x - 12 = 0

a)

x = -4 and x = -6

b)

x = 4 and x = -3/2

c)

x = 4 and x = 6

d)

x = -4 and x = 3/2