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Midterm Review

Total questions: 50

Worksheet time: 2hrs 8mins

Name
Class
Date
1.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
2.
Rewrite the expression as a power.
 (24)(25)
a)
220
b)
49
c)
420
d)
29
3.
Simplify 100
a)
10
b)
1
c)
0
d)
100
4.
9n4 . 6n7
a)
15n11
b)
54n28
c)
3n3
d)
54n11
5.
Simplify the expression.
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
6.

Which expression is equivalent to the given expression?

a)
b)
c)
d)
7.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
8.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
9.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
10.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
11.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
12.
√48
a)
4√2
b)
6√3
c)
4√3
d)
4√2
13.
√96
a)
4√6
b)
3√6
c)
6√5
d)
6√8
14.
Simplify the following radical: 2√24
a)
4√6
b)
2√6
c)
24√2
d)
4√4
15.
Simplify:
√100
a)
1
b)
10
c)
102
d)
Already simplified
16.
Simplify:
√45
a)
9√5
b)
3√5
c)
5√9
d)
3√15
17.
Simplify:
3√16
a)
12
b)
48
c)
√12
d)
3√4
18.
Simplify:
√200
a)
10√2
b)
2√10
c)
50√2
d)
2√50
19.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
20.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
21.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
22.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
23.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
24.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
25.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
26.
a)

8

b)

-24

c)

24

d)

-22

27.
a)

30

b)

62

c)

14

d)

32

28.
a)

-21

b)

33

c)

15

d)

-3

29.
a)

9

b)

13

c)

21

d)

-9

30.
a)

0

b)

5

c)

1

d)

60

31.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
32.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
33.
Solve:
8m - 9 > 71
a)
m > 10
b)
m > 1
c)
m < 1
d)
m > -48
34.
Four times a number, increased by 6 is greater than 22.  Which inequality models this scenario?
a)
4x - 6 > 22
b)
4x + 6 < 22
c)
4x + 6 ≥ 22
d)
4x + 6 > 22
35.

Translate: 5 times a number is at least 60.

a)

5x < 60

b)

5x > 60

c)

5x ≤ 60

d)

5x ≥ 60

36.
Solve the inequality for w:
-5(w - 4) < -5w - 15
a)
w > 15
b)
All real numbers are solutions
c)
w < 5
d)
No solutions to this inequality
37.

Solve the following compound inequality:

−4x + 1 ≤ 21 and 5x + 2 < 22

a)

x > −5 or x ≤ 4

b)

x ≥ −5 or x < 4

c)

x > −5 and x ≤ 4

d)

x ≥ −5 and x < 4

38.

Solve the following inequality:


3x + 2 < −4 or 4x + 4 > 24

a)

x < −2 or x > 5

b)

x < 2 or x > 5

c)

x < −2 and x > 5

d)

x < 2 and x > 5

39.

What inequality is graphed?

a)

x > 2 and x ≤ −3

b)

x > 2 and x < −3

c)

x > 2 or x ≤ −3

d)

x > 2 or x < −3

40.

−6 < 2t − 5 < 3

a)

−0.5 < t < 1

b)

0.5 < t < −1

c)

−11/2 < t < 2

d)

11/2 < t < −2

41.

When solving inequalities you must _________________ the inequality when ____________________ by a negative.

a)

flip; dividing

b)

ignore; multiplying and dividing

c)

flip; multiplying

d)

flip; multiplying and dividing

42.

Which are a set of Natural Numbers?

a)

0,1,2,3,4

b)

5,6,7,8

c)

-3,8,12,-14

d)

√15, 0.33, 18, -45

43.
Where does -4 belong?
a)
Whole
b)
Irrational
c)
Rational
d)
Integers
44.
Where does 1/2 and .75 go?
a)
Whole
b)
Integer
c)
Rational
d)
Natural
45.
Which number is irrational?
a)
9.6
b)
√45
c)
3/8
d)
3.4 x 10 ⁵
46.
What is the definition of integers?
a)
Numbers you count on your fingers and toes
b)
Natural numbers and zero
c)
Whole numbers and their opposites
d)
Terminating or repeating decimals
47.
The Pythagorean Theorem is
c2 = a2 - b2  
a)
false
b)
true
48.

Find the length of the missing side. (Calculators are allowed)

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

49.

Find the missing side. (Calculators are allowed)

a)

9

b)

41

c)

6.4

d)

3

50.

what is the formula for finding the hypotnuse?

a)

a2 + b2=c2

b)

a+b=c

c)

a2-b2=c2

d)

c2-a2=b

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