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Worksheets

Math 3 Review

Total questions: 42

Worksheet time: 11hrs 30mins

Name
Class
Date
1.
What are the asymptotes
a)
x=1, x= 2, y =1, y= 2
b)
x= 1, x=-1, y = 1
c)
x=1 y =1
d)
x=-1, y =1, y =-1
2.

Factor Completely: x2-17x+72

a)

(x-9)(x+8)

b)

(x-9)(x-8)

c)

x(x-3)

d)

(x+9)(x+8)

3.

Factor Completely: x2+13x+40

a)

(x+5)(x+8)

b)

5x(x+3)

c)

3x(x+6)

d)

x(x-4)

4.

Solve the equation by factoring: x2 + x - 6 = 0

a)

x = 4 or x = -1

b)

x = 3 or x = -2

c)

x = -6 or x = 1

d)

x = 2 or x = -3

5.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}

R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}

R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}

R:{1, -3, -4}

d)

D: {0, 1, 2, -4}

R: {1, -3, -4, 5}

6.
What type of function is this?
a)
Linear
b)
Quadratic
c)
Absolute Value
d)
Exponential
7.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
8.
Write the following equation in logarithmic form:
(⅓)-2 = 9
a)
log(-2) = 9
b)
log9(-2) = ⅓
c)
log9 = -2
d)
log9⅓ = -2
9.
Evaluate the expression using the Same Base, Division rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
2z7
10.
8|-2x + 4| = 96
a)
x = -4, x = 8
b)
x = -4
c)
x = -4, x = -8
d)
x = 4, x = 8
11.
Solve 8 = 25x+7
a)
x = ⅘
b)
x = ¼
c)
x = -⅘
d)
x = -¼
12.

a)

linear

b)

quadratic

c)

absolute value

d)

inverse

13.
a)

constant

b)

linear

c)

cubic

d)

square root

14.
a)

cube root

b)

cubic

c)

quadratic

d)

logarithmic

15.
a)

linear

b)

cube root

c)

square root

d)

quadratic

16.
a)

quadratic

b)

absolute value

c)

square root

d)

inverse

17.
a)

cube root

b)

cubic

c)

logarithmic

d)

inverse

18.
a)

inverse

b)

inverse squared

c)

logarithmic

d)

exponential

19.
 If the blue graph is the parent function, what is the equation of the red (transformed) function?
a)
g(x)=x3+1
b)
g(x)=x3-1
c)
g(x)=(x-1)3
d)
g(x)=(x+1)3
20.
Which equation below is a quadratic function translated up 5 units?
a)
y = x2 + 5
b)
y = (x + 5)2
c)
y = 5x2
d)
y = -x2 - 5
21.
Which equation is shown?
a)
y = (x-2)2
b)
y = (x+2)2
22.
Which equation shows a function that is translated left 4 and 7 up?
a)
y = |x + 4| + 7
b)
y = (x - 4)2 + 7
c)
y = (x + 7)2 - 4
d)
y = |x + 4| - 7
23.
The graph shows the function f(x)=x2 in blue and another function g(x) in red.  Which could be the equation for g(x)?
a)
A.  g(x)=3x2
b)
B.  g(x)=1/3x2
c)
C.  g(x) = x2 - 3
d)
D.  g(x) = (x-3)2
24.

The parent is in purple and transformed is in black. Which equation would result in the black?

a)

f(x) = |2x|

b)

f(x)=|x|+2

c)

f(x)=|x|+1/2

d)

f(x)=|1/2x|

25.

Evaluate the following logarithm:


log327

a)

3

b)

2

c)

-3

d)

1/3

26.

Evaluate the following logarithm:


log55

a)

1

b)

0

c)

-1

d)

1/2

27.

Evaluate the following logarithm:


log33

a)

1

b)

0

c)

-1

d)

1/2

28.

Evaluate the following logarithm:


log416

a)

1

b)

-2

c)

2

d)

1/2

29.

Evaluate the following logarithm:


log42

a)

-1/2

b)

-2

c)

2

d)

1/2

30.

Evaluate the following logarithm:


log8√8

a)

-1/2

b)

-1

c)

1

d)

1/2

31.

Evaluate the following logarithm:


log2√2

a)

-1/2

b)

-1

c)

1

d)

1/2

32.

Evaluate the following logarithm:


log40.5

a)

-1/2

b)

-2

c)

2

d)

1/2

33.

Evaluate the following logarithm:


log121

a)

1

b)

0

c)

-1

d)

1/2

34.

Evaluate the following logarithm:


log4(1/64)

a)

3

b)

-1/3

c)

-3

d)

1/3

35.

Evaluate the following logarithm:


log84

a)

2/3

b)

3/2

c)

3/4

d)

1/2

36.
You flip a nickel three times.
Find the probability that all flips will land on tails.
a)
1/2
b)
1/4
c)
1/6
d)
1/8
37.

In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a brown, then black sock?

a)

1/11

b)

1/18

c)

1/36

d)

2/33

38.
You roll two die.
What is the probability you will roll a 4, then roll a number less than 3?
a)
1/36
b)
1/18
c)
1/9
d)
1/6
39.
What is the probability of rolling a 3 on a 6-sided number cube and then NOT rolling a 3 on a 6-sided number cube?
a)
5/36
b)
1/6
c)
Other
40.
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
a)
5/11
b)
5/6
c)
1/3
d)
5
41.
Gabe took a survey of students in his school to see how many have a pet.  He surveyed 48 students, and 30 said they have a pet.   Based on Gabe’s survey, if there are 600 students in his school, he might expect ____ of them to have a pet.
a)
375
b)
96
c)
160
d)
348
42.
A survey asked middle school students which of four intermural sports they would most like to have at their school.  The results are shown in the table.  If there are 750 students in the school, how many students would you predict to choose flag football?
a)
150
b)
42
c)
142
d)
118