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Algebra 1 - Bootcamp Review

Total questions: 103

Worksheet time: 10hrs 35mins

Name
Class
Date
1.
40+(72÷9)÷8
a)
49
b)
25
c)
41
d)
15
2.

Solve :

8 ÷ 8 + 6 × 2

a)

8

b)

13

c)

14

d)

23

3.
Solve 8+ (5)(4) - (6+10-2) + 44
a)
42
b)
58
c)
71
d)
numbers
4.

Solve: 10×8+52÷4Solve:\ 10\times8+52\div4  

a)

93

b)

150

c)

25

d)

125

5.
(6 + 2) x (3 + 2)
a)
18
b)
26
c)
16
d)
40
6.

 3×10+8423\times10+8-4^2  



(a)  

7.

27÷9+12÷427\div9+12\div4  

(a)  

8.

10(6+3)÷210\cdot\left(6+3\right)\div2  

a)

60

b)

45

c)

31.5

d)

44

9.

In PEMDAS, what does the M stand for?

a)

Masterful

b)

McDonald

c)

Math

d)

Multiplication

10.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
11.

Solve:

 5 + 30  25 ÷55\ +\ 30\ -\ 25\ \div5  


a)

0

b)

2

c)

6

d)

30

12.

Evaluate: 9 ÷ 3 x 4 + 6  29\ \div\ 3\ x\ 4\ +\ 6\ -\ 2  



(a)  

13.
2 - 4
a)
2
b)
-8
c)
6
d)
-2
14.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
15.
6 - (-4)
a)
10
b)
2
c)
-2
d)
-10
16.
-18 +(-6)
a)
3
b)
-3
c)
-12
d)
-24
17.
-9 - 5
a)
-14
b)
4
c)
-4
d)
45
18.
(-4)(-5)
a)
-9
b)
-20
c)
9
d)
20
19.
Opposite of 142
a)
-142
b)
142
c)
+142
20.
12 and -12 are example of ....
a)
opposites
b)
even numbers
c)
negative numbers
d)
absolute values
21.
Which set of numbers is arranged from least to greatest?
a)
{2,0,-4,-1,1}
b)
{0,1,-1,2,-4}
c)
{-4,-1,0,1,2}
d)
{2,1,0,-1,-4}
22.

What is the opposite of 6

a)


16\frac{1}{6}

b)

0

c)

-6

d)

6

23.

What numbers are integers?

a)

5

b)

2.5

c)

19-\frac{1}{9}

d)

2,301

e)

-12

24.

8+2

a)

11

b)

9

c)

10

d)

82

25.

7 - 1 + 2

a)

10

b)

9

c)

8

d)

7

26.

An integer only consists of positive and negative whole numbers, decimals, and fractions

a)

True

b)

False

27.

Which number is the opposite of 9

a)

9

b)

1/9

c)

-1/9

d)

-9

28.

Which quadrant is the ordered pair, (3,5) ?

a)

I

b)

II

c)

III

d)

IV

29.

How many quadrants are on the coordinate plane?

a)

8

b)

2

c)

4

d)

1

30.

Which letter matches the coordinate (4, -6)?

a)

C

b)

Z

c)

K

d)

None of the above

31.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
32.
Name the quadrant where POINT C is located. 
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
No Quadrant
33.

In which quadrant is letter P?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

34.

Which letter matches the coordinate (-4, -3)?

(a)  

35.
Where is point A located?
a)
( 7 , 2 )
b)
( 2 , 6 )
c)
( - 2 , 7 )
d)
( 2 , 7 )
36.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
37.

What are the coordinates of point B?

(a)  

38.
If you were to plot the point (4, -12) what would be the correct method?
a)
Up 4, left 12
b)
Right 4, up 12
c)
Down 4, left 12
d)
Right 4, down 12
39.
Which axis runs vertically?
a)
x
b)
Y
40.
The coordinate plane is divided by a horizontal number line called what? 
a)
y-axis
b)
origin
c)
x-axis
d)
quadrant
41.
The vertical number line in the coordinate plane is called what? 
a)
y-axis
b)
origin
c)
quadrant
d)
x-axis
42.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
43.
What are the coordinates of Point D?
a)
(-4,2)
b)
(2,-4)
44.
What is the ordered pair for point A?
a)
( 2, 0)
b)
( 0 , 2)
c)
(0, -2)
d)
(-2,0)
45.

In which quadrant is the following point?

(-3, -12)

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

46.

Evaluate the fraction, reduce completely.

47.

Evaluate the fraction. Reduce completely

48.

Evaluate the fraction. Reduce completely.

49.

Simplify the fraction

50.

Simplify the fraction

51.

Simplify the fraction.

IMPORTANT - Find a common denominator!!!!

52.

Simplify the fraction

53.

Simplify the fraction.

54.

Simplify the fraction.

55.

Simplify the fraction - reduce completely.

56.

Simplify the fraction - reduce completely.

57.

Simplify the fraction - reduce completely.

58.

According to PEMDAS which part of an algebraic expression to solve first?

a)

addition from left to right

b)

The part of the expression in parentheses or brackets

c)

Parts of the expression with powers

d)

multiplication from left to right

e)

division from left to right

59.

According to PEMDAS which part of an algebraic expression to solve second?

a)

addition from left to right

b)

The part of the expression in parentheses or brackets

c)

Parts of the expression with powers

d)

multiplication from left to right

e)

division from left to right

60.

According to PEMDAS which part of an algebraic expression to solve third?

a)

addition from left to right

b)

The part of the expression in parentheses or brackets

c)

Parts of the expression with powers

d)

multiplication from left to right

e)

division from left to right

61.

According to PEMDAS which part of an algebraic expression to solve fourth?

a)

addition from left to right

b)

subtraction from left to right

c)

Parts of the expression with powers

d)

multiplication from left to right

e)

division from left to right

62.

According to PEMDAS which part of an algebraic expression to solve fifth?

a)

addition from left to right

b)

subtraction from left to right

c)

Parts of the expression with powers

d)

multiplication from left to right

e)

division from left to right

63.

According to PEMDAS which part of an algebraic expression to solve sixth (last)?

a)

addition from left to right

b)

subtraction from left to right

c)

Parts of the expression with powers

d)

multiplication from left to right

e)

division from left to right

64.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 · 5

a)

Subtraction of 4 from 10

b)

Division of 4 by 1

c)

Multiplication of 1 by 5

d)

Addition

65.

Which operation would you do first in this expression?

( 12 + 10) ÷ 10 · 14 - 6

a)

Division by 10

b)

Multiplication by 14

c)

Addition of 10

d)

Subtraction of 6

66.

Which operation would you do first in this expression?

( 12 + 10) ÷ 10 · 14 - 6

a)

Division by 10

b)

Multiplication by 14

c)

Addition of 10

d)

Subtraction of 6

67.

Given the following expression:
2(1411)3+52\left(14-11\right)^3+5  
Which action is performed first?

a)

multiply by 2

b)

subtract 11 from 14

c)

raise it to the third power

d)

add 5

68.
14 + (22 - 2) =
a)
34
b)
37
c)
40
69.
(23 + 24) -10 =
a)
37
b)
27
c)
47
70.
(2 x 5) + 18
a)
48
b)
20
c)
28
71.
Solve the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
72.
18 + (6 – 2) × 2
a)
26
b)
29
c)
44
d)
40
73.
40 - 24 + 8
a)
40
b)
32
c)
24
d)
42
74.
2 + (9- 4)
a)
16
b)
77
c)
79
d)
88
75.
4 + 9 + 8 ÷ 4
a)
5.25
b)
5
c)
25
d)
15
76.
What is the first step in solving this problem:
-2 ⋅ (3 + 8 ÷ 4)2
a)
multiplication
b)
addition
c)
division
d)
subtraction
77.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
78.
14 + (22 - 2) =
a)
34
b)
37
c)
40
79.
20 x 2 - (10 - 4)
a)
22
b)
30
c)
34
80.
(23 + 24) -10 =
a)
37
b)
27
c)
47
81.

What does the E in PEMDAS stand for?

a)

Equation

b)

Expression

c)

Exponent

d)

Evaluate

82.

Which operation is performed FIRST?

(13 - 1) + 4

a)

addition outside of grouping symbols

b)

subtraction inside of grouping symbols

c)

multiplication by grouping symbols

83.
Which operation is performed SECOND?
(13 - 1) + 4
a)
addition +
b)
subtraction -
c)
multiplication X
84.
(9 + 23) ÷ (5 - 3) = 
a)
16
b)
32
c)
15
d)
12
85.
Find and explain the error.    
 5 - 3 + 2
     5 - 5
        0
a)
There is no error.
b)
Addition was done first and you should have subtracted first
c)
There is a subtraction error
86.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
87.
90 - 52 × 3
a)
15
b)
240
c)
195
88.
2 + (9- 4)
a)
16
b)
77
c)
79
89.

An ___________________ is a number that tells us how many times the base is multiplied by itself.

a)

exponent

b)

Sum

c)

Quotient

d)

product

90.

Write with an exponent:
333333\cdot3\cdot3\cdot3\cdot3  

a)

353^5  

b)

535^3  

91.
(24-16)÷8
a)
8
b)
1
c)
2
d)
7
92.
32+42-(4x2)
a)
14
b)
9
c)
9
d)
17
93.
Evaluate the expression.
a)
15
b)
11
c)
-15
d)
-11
94.
Solve the following:  
-8 + (15-3) ÷ 4
a)
-5
b)
1
c)
-11
d)
11
95.
Solve the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
96.
(7 x 5) + (6 x 4)
a)
48
b)
69
c)
59
d)
72
97.
5-(7+3)÷2
a)
0
b)
-5
c)
5
d)
6
98.
8+5∙4+(7-3)
a)
32
b)
23
c)
25
d)
12
99.
75 ÷ 5 × 9 – 9
a)
126
b)
226
c)
711
d)
300
100.
(7 + 41) ÷ 2 – 15
a)
19
b)
9
c)
25
d)
3
101.
Solve:
18 - 8 ÷ 2
a)
5
b)
6
c)
10
d)
14
102.
18 + (6 – 2) × 2
a)
26
b)
29
c)
44
d)
40
103.
(18 ÷ 2) × 3 – 17
a)
206
b)
100
c)
10
d)
5