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Algebra 2 Review

Total questions: 50

Worksheet time: 2hrs 26mins

Name
Class
Date
1.

Solve using elimination method.

x-y=11

2x+y=19

a)

(10,-1)

b)

(-1,10)

c)

(3,-4)

d)

(6,7)

2.
4x+8y=20
-4x+2y=-30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
3.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
4.

Factor:

x2 + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

5.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
6.
Name the x-intercept(s)?
a)
0
b)
4
c)
2
d)
0 and 4
7.
A line about which a figure is symmetric is the ____ __ ________
a)
Solution Set
b)
Intercept Formula
c)
Quadratic Function
d)
Axis of Symmetry
8.
What are the coordinates of the y-intercept?
a)
(-3, 0)
b)
(0, -3)
c)
(2, 1)
d)
y=-3
9.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
10.
What is the axis of symmetry (line of symmetry)?
a)
-3
b)
-1
c)
x=-3
d)
x=-1
11.

What is the axis of symmetry in the function f(x) = (x-1)2 +2

a)

x = 1

b)

x = -1

c)

x = 2

d)

x = -2

12.

Does the function y = (x+2)2 have a maximum or minimum?

a)

Maximum

b)

Minimum

c)

Both

d)

Neither

13.

Does the function y = -1/2(x+1)2 have a maximum or minimum?

a)

Maximum

b)

Minimum

c)

Both

d)

Neither

14.

The minimum of a quadratic function is

a)

The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing

b)

The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing

15.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
16.
Convert x2-9x+20 to factored form and solve.
a)
(x-10)(x+2); x=-2, 10
b)
(x+4)(x+5); x=-5, -4
c)
(x-4)(x-5); x=4, 5
d)
Not factorable
17.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
18.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

19.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
20.
Which of the following inequalities matches the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤  2/5x + 1
d)
y ≥ -2/5x - 1
21.
Which of the following inequalities matches the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
22.

x2 + 5x + 6

a)

(x + 6) (x +2)

b)

(x - 4) (x + 2)

c)

(x + 3) (x + 2)

d)

(x + 8) (x - 2)

23.

p2 + 3p - 40

a)

(p + 8) (p - 2)

b)

(p + 8) (p - 5)

c)

(p - 4) (p - 12)

d)

(p + 1) (p - 10)

24.

Given the inequality, which of the following is written correctly in interval notation?


-3 ≤ x < 5

a)

(-3, 5)

b)

[-3, 5]

c)

[-3, 5)

d)

(-3, 5]

25.

Express the following in interval notation.


{ x | -9 < x < -8.5 }

a)

[-9, -8.5]

b)

[-9, -8.5)

c)

(-9, -8.5]

d)

(-9, -8.5)

26.

Express the following in interval notation.


-8 ≤ x < 8

a)

[-8, 8]

b)

[-8,8)

c)

(-8, 8]

d)

(-8, 8)

27.

Express the following in interval notation.


-9 < x ≤ -4

a)

[-9, -4]

b)

(-9,-4]

c)

[-9, -4]

d)

(-9,-4)

28.

Express the following interval in set notation.


(-7, 15]

a)

-7 ≤ x ≤ 15

b)

-7 < x < 15

c)

-7 ≤ x < 15

d)

-7 < x ≤ 15

29.

Express the following interval in set notation.


[3, 5]

a)

3 ≤ x ≤ 5

b)

3 < x ≤ 5

c)

3 ≤ x < 5

d)

3 < x < 5

30.
What is the equation of this parent function?
a)
y=√x
b)
y=x2
c)
y=x3
d)
y=|x|
31.
What type of function is shown?
a)
absolute value
b)
quadratic
c)
linear
d)
exponential
32.
Name the parent function. 
a)
constant
b)
quadratic
c)
linear
d)
exponential
33.
Which equation is the parent function of an absolute value equation?
a)
x = y2
b)
y = x
c)
y = |x|
d)
y = x2
34.
Find the equation for the graph shown below
a)
y = Ix + 3I - 1
b)
y = Ix - 3I - 1
c)
y = Ix + 1I + 3
d)
y = Ix - 1I + 3
35.
Find the equation for the graph shown below
a)
y = Ix + 2I - 1
b)
y = -Ix + 2I - 1
c)
y = -Ix - 2I - 1
d)
y = -Ix + 1I - 2
36.
Find the equation for the graph shown below
a)
y = (x - 2)2 + 4
b)
y = -(x - 4)2 + 2
c)
y = -(x - 2)2 + 4
d)
y = -(x + 2)2 + 4
37.
Find the equation for the graph shown below
a)
y = (x - 1)2 - 2
b)
y = (x + 1)2 - 2
c)
y = (x - 2)2 + 1
d)
y = (x + 2)2 - 1
38.
Match the equation y = (x-2)2 + 2 to its description.
a)
Right 2 and up 2
b)
Left 2 and up 2
c)
Right 2 and down 2
d)
Left 2 and down 2
39.
What is the equation of this graph?
a)
f(x) = -(x + 1)2 + 3
b)
f(x) = -(x - 1)2 + 3
c)
f(x) = -(x + 1)2 - 3
d)
f(x) = -(x + 1)2 - 3
40.
Left 4 and up 7
a)
y = |x + 4| + 7
b)
y = (x - 4)2 + 7
c)
y = (x + 7)2 - 4
d)
y = |x + 4| - 7
41.
  . 
The blue is f(x)=|x|, red must be
a)
g(x)=|x+2|
b)
g(x)=|x|+2
c)
g(x)=|x-2|
d)
g(x)=|x|-2
42.
Which equation is the parent function of a quadratic equation?
a)
x = y2
b)
y = x
c)
y = |x|
d)
y = x2
43.
Which equation is the parent function of a linear equation?
a)
x = y2
b)
y = x
c)
y = |x|
d)
y = x2
44.
Which equation is the parent function of an absolute value equation?
a)
x = y2
b)
y = x
c)
y = |x|
d)
y = x2
45.
What type of function is shown?
a)
absolute value
b)
quadratic
c)
linear
d)
exponential
46.
What type of function is shown?
a)
linear
b)
quadratic
c)
square root
d)
absolute value
47.
Which parent function matches the graph?
a)
y = |x|
b)
y = ∛(x)
c)
y = x2
d)
y = a⋅bx
48.
Find the equation for the graph shown below
a)
y = Ix + 3I - 1
b)
y = Ix - 3I - 1
c)
y = Ix + 1I + 3
d)
y = Ix - 1I + 3
49.
f(x) = 5x2 + 2
a)
Stretch of 5
Up 2
b)
Shrink of 5
Up 2
c)
Stretch of 5
Down 2
d)
Shrink of 5
Down 2
50.
Match the equation y = (x-2)2 + 2 to its description.
a)
Right 2 and up 2
b)
Left 2 and up 2
c)
Right 2 and down 2
d)
Left 2 and down 2

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