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Ms. Francois Pre-Algebra Review

Total questions: 100

Worksheet time: 8hrs 20mins

Name
Class
Date
1.
.141414141414...
a)
Rational 
b)
Irrational 
2.
√2
a)
Rational
b)
Irrational
3.
√25
a)
Rational
b)
Irrational
4.
Which number is irrational?
a)
9.6
b)
√45
c)
3/8
d)
3.4 x 10 ⁵
5.
which number is a rational number ?
a)
1/4
b)
π
c)
√3
6.

Which of these is an example of a rational number?

a)

√4

b)

√5

c)

√3

d)

√2

7.

Which of these is an example of an irrational number?

a)

√2

b)

√1

c)

√9

d)

√25

8.

A rational number can be written as a fraction.

a)

true

b)

false

9.
a)
7 and 8
b)
8 and 9
c)
17 and 18
d)
35 and 36
10.
Which number is between 7 and 8?
a)
√7
b)
√42
c)
√59
d)
√68
11.

Find the square root;

121\sqrt[]{121}  

(a)  

12.

Find the two square roots of the number; 16

a)

4, -4

b)

16, -16

c)

2, -2

d)

8, -8

13.

Find the cube root

1253\sqrt[3]{125}  

a)

25

b)

-5

c)

5

d)

15

14.

A cube has the volume of 27in3. What are the side lengths?

a)

9in

b)

3in

c)

27in

d)

2in

15.

What number, n, cubed is equal to 64?

n3 = 64

a)

4

b)

2

c)

8

d)

262,144

16.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

17.

9=?\sqrt[]{9}=?  

(a)  

18.

A cube has the volume of 8in3. What are the side lengths?

a)

64in

b)

2in

c)

4in

d)

16in

19.

100=?\sqrt[]{100}=?  

(a)  

20.

273=?\sqrt[3]{27}=?  

(a)  

21.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
22.
Simplify:
(x3)(x2)
a)
x5
b)
x6
c)
x
d)
x1.5
23.
Simplify (-5.7)0
a)
1
b)
0
c)
-1
d)
-5.7
24.
a)
x12
b)
x-12
c)
x2
d)
x-2
25.
a)
a7
b)
a10
c)
a3
d)
a-3
26.
a)
8
b)
1/8
c)
87
d)
all of the above
27.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
28.
According to exponent rules, when we divide the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
29.
How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?
a)
57
b)
56
c)
75
d)
5
30.
Simplify:
b2 ⋅ b4
a)
b8
b)
b6
c)
b2
d)
2b6
31.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
32.
Make this negative exponent positive.
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
33.

Simplify (evaluate):

3-3

a)

-27

b)

-9

c)

-1/9

d)

1/27

34.

Are these two equivalent:

22 = (-2)2

a)

Yes

b)

No

35.

Write this expression using positive exponent:

x-7

a)

-7

b)

-7x

c)

1/x7

d)

-1/x7

36.

How would you write 4.3756 x 104 in standard form?

(a)  

37.

How would you write 0.0005 in scientific notation?

a)

50 x 10-5

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

38.

How do you write 8.317 x 106 in standard form?

(a)  

39.

Which of the following numbers is written in scientific notation?

a)

20.35 x 104

b)

.2035 x 104

c)

2035 4

d)

2.035 x104

40.

Express the following in scientific notation:


.000457

a)

457 x 106

b)

457 x 10-6

c)

4.57 x104

d)

4.57 x 10-4

41.

If the exponent is a positive number the original number was...

a)

a really big number.

b)

a really small number.

42.

Convert this number to standard notation:


7.1 x 104

(a)  

43.

Convert this number to standard notation:


1.4 x 10-2

(a)  

44.

Which value is the greatest?

a)

5.0 x 10-9

b)

5.0 x 10-4

c)

5.0 x 106

d)

5.0 x 108

45.

Which number is the least in value?

a)

5.0 x 10-9

b)

5.0 x 10-4

c)

5.0 x 106

d)

5.0 x 108

46.

Which is a common factor of 12x and 27?

a)

x

b)

12

c)

3

d)

9

47.

Factor using GCF or monomial factoring:

2n2-8n3

a)

2n2(n-4n2)

b)

2n2(1-4n)

c)

2n3(10-8n2)

d)

3n(1-4n)

48.

Factor using GCF or monomial factoring:

2x + 18

a)

2(x + 9)

b)

2(x + 8)

c)

2(2x + 9)

d)

cannot be factored

49.

Factor using GCF or monomial factoring:

x2 - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x2(1 - 5)

50.

Find the GCF of the terms of each polynomial.

72y5 + 18y2

a)

y2

b)

4y5

c)

18y

d)

18y2

51.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
52.
Simplify the following expression
7 - 8c + 3 - 6c 
a)
-10+14c
b)
-25
c)
10-14c
d)
25c
53.
a + a + a + a
a)
a + 4 
b)
4a 
c)
a to the fourth power 
d)
4a + 4 
54.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
55.
Simplify the following expression:
(5 + 4x) + (2x - 8)
a)
13 + 6x
b)
6x - 3
c)
6x - 13
d)
6x + 3
56.
5x + 3y + 5 + 4x + 3y + y + 8
a)
9x + 7y + 13
b)
6x + 2y + 2
c)
25x + 2y + 3
d)
x + 7y + 12
57.

9m+14=2m

a)

-98

b)

-2

c)

-1

d)

2

e)

4

58.

7m-5=6m+8

(a)  

59.

11x-5=9x+7

(a)  

60.

3.2a-16=4a

(a)  

61.
-13t > 26
a)
t > -2
b)
t > 2
c)
t < 2
d)
t < -2
62.
2 < 6z - 10 < 20
a)
-2 < z < -5
b)
z > 2 or z < 5
c)
2 > z > 5
d)
2 < z < 5
63.

3r - 5 = 2r

a)

No solution

b)

Infinitely many solutions

c)

One solution

64.

3x - 8 = 3(x - 4) + 1

a)

one solution

b)

no solutions

c)

infinite solutions

65.

3x - 7 = 3(x - 3) + 2

a)

one solution

b)

no solutions

c)

infinite solutions

66.

5x + 6 = 2 + 3x

a)

one solution

b)

no solutions

c)

infinite solutions

67.

2x + 1 = 2x - 1

a)

No Solution

b)

x = 0

c)

Infinitely Many Solutions

68.

6(m+3)=2(m+5)

a)

No solution

b)

One Solution

c)

Infinite Solutions

69.

What is the correct slope-intercept form?

a)

y = mx + b

b)

y = mb + x

c)

y = x

d)

y = -mx + b

70.

What would the slope of the graph be?

a)

Positive

b)

Negative

c)

0

d)

Undefined

71.

What kind of slope does the graph have?

a)

Positive

b)

Negative

c)

0

d)

Undefined

72.

Write the equation of the line in slope-intercept form.

a)

y = -2x - 5

b)

y = 2x - 5

c)

y = -2x

d)

y = -1/2x - 5

73.

Jackson started with $800 in his savings account, but has to pay $30 a month for his electricity bill. Write an equation that relates his savings, y, to the amount of months, x.

a)

y = -30x + 800

b)

y = 30x - 800

c)

y = -30x

d)

y = 12x - 30

74.

Stephanie owes her mom $80 for a recent trip to the mall. She plans to payback $15 a month until it is paid back. Write an equation in slope-intercept form that relates the amount she owes, y, to the amount of months, x.

a)

y = 15x - 80

b)

y = 15x + 80

c)

y = -15x + 80

d)

y = -15x - 80

75.

Given the equation y = -3x - 5, what would the ordered pair be if you subbed in x = 2?

a)

(2, -11)

b)

(2, -1)

c)

(2, 1)

d)

(2, 11)

76.
a)
(2, -2)
b)
(2, 2)
c)
(-2, 2)
d)
(-2, -2)
77.
a)
Infinitely Many Solutions
b)
No Solution
78.
When does a system of equations have no solutions?
a)
When the lines cross
b)
When slopes of the lines are different
c)
When the slopes are the same
d)
There is ALWAYS a solution sir!
79.
Two equations that produce the same line have _____ solution(s).
a)
no
b)
one
c)
infinitely many
80.
Intersecting lines have _____ solution(s).
a)
No
b)
One
c)
many
81.
Parallel lines have ____ solution(s).
a)
No
b)
One
c)
Many
82.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
83.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
84.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
85.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
86.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
87.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
88.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
89.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
90.
What is the y-intercept of the equation:
 y = 2x - 3 
a)
-2
b)
2
c)
3
d)
-3
91.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
92.
Is the table linear or nonlinear?
a)
Linear
b)
Nonlinear
93.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
94.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
95.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
96.
a)
7 ft
b)
5 ft
c)
3 ft
d)
2 ft
97.
if a = 3 feet,  b = 8 feet,  and c = 6 feet, what is the length of d rounded to the nearest hundredth of a foot?
a)
8.54 feet
b)
10.44 feet
c)
10 feet
d)
4.12 feet
98.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
99.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
100.
The Pythagorean Theorem is
a2 + b3 = c4
a)
false
b)
true

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