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Algebra 2 Year End Review

Total questions: 50

Worksheet time: 2hrs 16mins

Name
Class
Date
1.
Factor 9x2-64
a)
(3x-8)(3x+8)
b)
(2x-8)(2x+8)
c)
(3x-4)(3x+4)
d)
(3x-8)2
2.
Find the value of the discriminant: 4x2-7x+8
a)
√79
b)
√-79
c)
-79
d)
-7±i√79/8
3.
Write the equation in vertex form:
y = -2x2+16x+4
a)
y=-2(x-4)2+4
b)
y =-2(x+4)2+36
c)
y=-2(x+4)2+4
d)
y =-2(x-4)2+36
4.
What is the vertex:
y = 2(x-3)2+18
a)
(-3,-18)
b)
(3,-18)
c)
(-3,18)
d)
(3,18)
5.

Which equation is parallel to y = 2x + 5?

a)
y = -1/2x + 7
b)
y = 1/2x + 7
c)
y = 2x + 7
d)
y = -2x + 7
6.
What is the equation of the line that passes through (0,4) and (5,0)? 
a)
y = -4/5x + 0
b)
y = -4/5x + 5
c)
y = -4/5x + 9
d)
y = -4/5x + 4
7.

 ∣−6∣⋅2+3−(5−7)2\left|-6\right|\cdot2+3-\left(5-7\right)2  Evaluate:

a)

32

b)

20

c)

19

d)

-5

8.

What would you add to

x2-16x+___ to complete the square?

Help:Take half of the middle # and square it

a)

4

b)

64

c)

16

d)

8

9.

Which quadratic is the widest?

Think about what the "a" amplitude does to the slope of the parabola Rise/Run

a)

y = -3/4x2+4x+1

b)

y=2x2-3x+7

c)

y=-4x2+9

d)

y=7/5x2-5x+1

10.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
11.
In the ordered pair (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
12.
What is the ordered pair for point T?
a)
(3, 3)
b)
(3, -3)
c)
(-3, -3)
d)
(- 3, 3)
13.
Which equation matches the graph? (Click me to see the image)
a)
y = 2x
b)
y = 1/4 x + 2
c)
y = 1x + 4
d)
y = -2x
14.

What is the equation of the inequality:

Hint: Solid line and shaded above

a)

y > - ½x - 4

b)

y > -2x - 4

c)

y ≥ - ½x - 4

d)

y > ½x - 4

15.

How is the equation shifted from its parent graph: y = x2?

y = - (x + 8)2 + 12

What 's with the x is the opposite, What does the - in front do to the parabola

a)

Right 8, up 12, reflected in the x axis

b)

Left 8, up 12, reflected in the x axis

c)

Right 8, down 12, reflected in the x axis

d)

Left 8, up 12

16.
Solve:
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
17.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
18.
Identify the domain of the following relation:
a)
-6, 14, 2, 28
b)
(-6,14), (0,32), (2,38), (4,44)
c)
-6, 0, 2, 4
d)
14, 32, 38, 44
19.

Solve using elimination.


6x - y = 2

-3x - 6y = 12

a)

(2,0)

b)

no solution

c)

(0,-2)

d)

infinite solutions

20.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
21.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
22.
Simplify:
a)
√4√12
b)
4√12
c)
4√3
d)
2√3
23.
a)
(x2√2x) ∕ y
b)
(10x2√x) ∕ (y√5)
c)
(2x5) ∕ (y2)
d)
x√(2x)
24.
Factor x2-14x+24
a)
(x-8)(x+3)
b)
(x+12)(x-2)
c)
(x+8)(x+3)
d)
(x-12)(x-2)
25.
√-4
a)
-2
b)
-2i
c)
2
d)
2i
26.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
27.

If a is not 0, a0 = _____.

a)

0

b)

1

c)

a

d)

undefined

28.

A _____ is a polynomial with three terms.

a)

monomial

b)

binomial

c)

trinomial

d)

centennial

29.

The _____ helps us find the number and type of solutions of a quadratic equation.

a)

discriminant

b)

quadratic inequality

c)

quadratic equation

d)

coefficient of the linear term

30.
In the following equation, what is the y-intercept?  
y = -3x + 7
a)
-3
b)
7
c)
-3/7
d)
3
31.
How many ways can a club select a president, vice president, and a secretary from a group of 5 people?
a)
12
b)
60
c)
15
32.
What is the value of 5!
a)
25
b)
15
c)
120
d)
720
33.
How many ways ways can you arrange the letters in the word math?
a)
15
b)
4
c)
24
34.
What does the P stand for in nPr?
a)
Partners
b)
Positions
c)
Papers
d)
Permutations
35.

Six friends are going to play a ball game. Each team has 3 players. How many different team combinations are possible?

a)

120

b)

6

c)

18

d)

20

36.

What is the theoretical probability of the spinner landing on yellow?

a)

1/4

b)

1/2

c)

1/3

d)

2/3

37.

The spinner was spun 30 times and landed on blue 12 times. What was the experimental probability of the spinner landing on colors that were not blue?

a)

2/5

b)

3/5

c)

4/5

d)

1/5

38.

What type of probability is used to find the probability of an event when all outcomes are equally as likely. "What COULD happen"

a)

Experimental Probability

b)

Theoretical Probability

39.

What type of probability is a way of estimating the probability of an event happening based on repeated trials?

a)

Experimental Probabillity

b)

Theoretical Probability

40.

Did you like using Quizizz for some of your work and Tests this year?

a)

yes

b)

no

41.

a)

F

b)

G

c)

H

d)

J

e)

K

42.

2 + 2 = ?

a)

2

b)

3

c)

4

d)

5

43.
a)

A

b)

B

c)

C

d)

D

e)

E

44.

An art teacher had 342 paint brushes.


-She threw away 87 broken paint brushes .

-Then she bought 150 more paint brushes.


Which equation shows how to find the number of crayons the art teacher has now?

a)

342 - 87 - 150 =

b)

342 - 87 + 150 =

c)

342 + 87 + 150 =

d)

342 + 87 - 150 =

45.

Max's goal is to practice playing drums for 300 minutes this week.


On Sunday he practiced for 127 minutes. On Tuesday he practiced for 38 minutes.


How many more minutes does Max need to practice in order to meet his goal?

a)

135

b)

465

c)

165

d)

145

46.
Crystal has 25 lollipops.  Angie has 12 more lollipops than Crystal.  How many lollipops do the girls have all together?
a)
37
b)
62
c)
49
d)
13
47.
The temperature was 80 degrees in the afternoon.  It was 50 degrees in the evening.  How much did the temperature change?
a)
25 degrees
b)
30 degrees
c)
130 degrees
d)
20 degrees
48.

Which operation should you use when the problem has the word: "AND" in between 2 numbers.

a)
b)
c)
d)
49.
Snow fell in Newton twice in one day. The town received 3/8 inch of snow in the morning and another 1/2 inch of snow in the afternoon. How many total inches of snow fell in Newton on that day?
a)
1/8
b)
3/10
c)
5/8
d)
7/8
50.
17+11=
a)
26
b)
24
c)
29
d)
28

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