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Worksheets

Algebra Basics

Total questions: 118

Worksheet time: 5hrs 53mins

Name
Class
Date
1.
2 - 4
a)
2
b)
-8
c)
6
d)
-2
2.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
3.
6 - (-4)
a)
10
b)
2
c)
-2
d)
-10
4.
-18 +(-6)
a)
3
b)
-3
c)
-12
d)
-24
5.
-2 + (-8)
a)
-6
b)
6
c)
-10
d)
10
6.
-9 - 5
a)
-14
b)
4
c)
-4
d)
45
7.
-3 +(- 2)
a)
-1
b)
5
c)
-5
d)
-6
8.
-4 - 2
a)
6
b)
-2
c)
-8
d)
-6
9.
8 - (-5)
a)
1
b)
-15
c)
13
d)
15
10.
12 - (-12)
a)
24
b)
-24
c)
0
d)
-144
11.
-8 - (-6)
a)
2
b)
14
c)
-2
d)
-14
12.
(-4)(-5)
a)
-9
b)
-20
c)
9
d)
20
13.
3 - (-8)
a)
11
b)
-11
c)
5
d)
-5
14.
-32/8
a)
-4
b)
-5
c)
4
d)
24
15.
-2 + (-5)
a)
-3
b)
3
c)
-7
d)
7
16.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

17.

Simplify: 7t - 3t + t - 3t

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified

18.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

19.

Simplify: 4k + 6k - 3k + 3s - s

a)

13k + 3s

b)

7k + 2s

c)

7k + 4s

d)

Can't be simplified

20.

Simplify: 10d - 3d + 2e + 4d

a)

11d + 2e

b)

17d + 2e

c)

19de

d)

Can't be simplified

21.

Simplify: 8q + 3q - 6t + 2q - 4q

a)

3qt

b)

11q - 6t - 2q

c)

9q -6t

d)

Can't be simplified

22.

Simplify: 7y2 −5y + 9y − 5y27y^2\ -5y\ +\ 9y\ -\ 5y^2  

a)

6y2 6y^{2\ }  

b)

2y2 + 4y 2y^{2\ }+\ 4y\  

c)

12y2 + 14y12y^{2\ }+\ 14y  

d)

Can't be simplified

23.

Simplify: 10w + 3d + 3w + d

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

24.

Simplify: 12b + 4b2 - 10b

a)

4b2 + 2b

b)

4b2 + 22b

c)

6b2

d)

Can't be simplified

25.

Simplify: 5e + 7e - 10e + 9 e

a)

31e

b)

21e - 10e

c)

11e

d)

Can't be simplified

26.

Simplify: 7j + 3k + 10j - k

a)

3j + 4k

b)

17j + 2k

c)

19jk

d)

Can't be simplified

27.

Simplify: m + m + m + m

a)

4m

b)

m4

c)

m

d)

Can't be simplified

28.

Simplify: 4f2 + 3h - g + f

a)

5f2 + 3h - g

b)

7fhg

c)

4f2 + 3hgf

d)

Can't be simplified

29.

Simplify: 23s + 23d + 4s - 4d

a)

27s + 19d

b)

19s + 27d

c)

27s + 27d

d)

Can't be simplified

30.

Simplify: 5p + 7y + 2t - 3p + 4y

a)

15pyt

b)

2p + 11y + 2t

c)

8p + 11y + 2t

d)

Can't be simplified

31.

r - 38 = 9

a)

47

b)

29

c)

-29

d)

-47

32.

h + 17 = 40

a)

-23

b)

23

c)

57

d)

-57

33.

n + 75 = 155

a)

85

b)

125

c)

80

d)

230

34.

q - 17 = 18

a)

1

b)

-1

c)

35

d)

25

35.

8z = 112

a)

14

b)

120

c)

104

d)

896

36.

d/14 = 7

a)

2

b)

98

c)

-2

d)

21

37.

f/28 = 24

a)

672

b)

52

c)

4

d)

-4

38.

3a = 57

a)

60

b)

54

c)

171

d)

19

39.

b/12 = 5

a)

17

b)

60

c)

7

d)

-7

40.

62 + j = 74

a)

-12

b)

136

c)

12

d)

8

41.

2.3 = p + 0.6

a)

p = -2.9

b)

p = 1.7

c)

p = 2.9

d)

p = 17

42.

d/1.2 = 6

a)

d = 4.8

b)

d = 72

c)

d = 1.8

d)

d = 7.2

43.

The weight of a goat increased by 12 pounds is 38 pounds. Which equation represents the problem?

a)

38 = w + 12

b)

38 - w = 12

c)

w + 12 = 38

d)

all of the above

44.

The weight of a goat increased by 12 pounds is 38 pounds. What is w?

a)

w = 50

b)

w = 26

c)

w = 28

d)

all of the above

45.

m - 3 = 13.8

a)

m = 10.8

b)

m = 16.8

c)

m = 13.5

d)

m = 141

46.

What kind of slope does this line have?

a)

Positive Slope

b)

Negative Slope

c)

Undefined Slope

d)

Zero Slope

47.

What kind of slope does this line have?

a)

Positive Slope

b)

Negative Slope

c)

Undefined Slope

d)

Zero Slope

48.

What kind of slope does this line have?

a)

Positive Slope

b)

Negative Slope

c)

Undefined Slope

d)

Zero Slope

49.

What kind of slope does this line have?

a)

Positive Slope

b)

Negative Slope

c)

Undefined Slope

d)

Zero Slope

50.

What kind of slope does this line have?

a)

Positive Slope

b)

Negative Slope

c)

Undefined Slope

d)

Zero Slope

51.

What kind of slope does this line have?

a)

Positive Slope

b)

Negative Slope

c)

Undefined Slope

d)

Zero Slope

52.

What kind of slope does this line have?

a)

Undefined

b)

Positive Slope

c)

Negative Slope

d)

Zero Slope

53.

What kind of slope does this line have?

a)

Positive Slope

b)

Negative Slope

c)

Zero Slope

d)

Undefined

54.

What type of slope?

a)

negative

b)

positive

c)

zero slope

d)

downward slope

55.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
56.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
57.
What type of slope does the graph have?
a)
positive
b)
negative
c)
zero
d)
undefined
58.

What are the coordinates of point H?

a)

( - 4 , 2 )

b)

( 4 , - 2 )

c)

( - 2 , 4 )

d)

( 4 , 4 )

59.

What is the ordered pair for point K?

a)

( - 3 , - 3 )

b)

( 3 , - 3 )

c)

( - 4 , - 4 )

d)

( 5 , 8 )

60.

What is the ordered pair for point E?

a)

( 3 , 0 )

b)

( 0 , 4 )

c)

( 0 , - 3 )

d)

( - 3 , 0 )

61.

What is the ordered pair of point L?

a)

( 4 , 4 )

b)

( 4 , 2 )

c)

( - 4 , - 4 )

d)

( 2 , - 4 )

62.

What is the ordered pair for point C?

a)

( 2 , - 4 )

b)

( 2 , 4 )

c)

( 4 , 2 )

d)

( 4 , - 2 )

63.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
64.

In which quadrant is the following point?

(-3, 12)

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

65.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
66.
The coordinate plane is divided by a horizontal number line called what? 
a)
y-axis
b)
origin
c)
x-axis
d)
quadrant
67.
What is the ordered pair for point A?
a)
( 2, 0)
b)
( 0 , 2)
c)
(0, -2)
d)
(-2,0)
68.

What is the letter is a the the ordered pair (0, 3)?

a)

A

b)

M

c)

R

d)

L

69.
Where is point A located?
a)
( 7 , 2 )
b)
( 2 , 6 )
c)
( - 2 , 7 )
d)
( 2 , 7 )
70.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
71.

Which quadrant contains the point named by (2, 5)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

72.

How many quadrants or sections are in a coordinate plane?

a)

1

b)

2

c)

3

d)

4

73.
The __ - axis is vertical in the coordinate plane.
a)
X
b)
Y
c)
Z
d)
None of the above
74.
The x-axis is _______?
a)
vertical
b)
diagonal
c)
criss-cross
d)
horizontal
75.
Give the location of point F
a)
(-3, 1)
b)
(3, -1)
c)
(-3, -1)
76.
Give the coordinates for POINT H.
a)
(-1, 2)
b)
(1, -2)
c)
(-1, -2)
d)
(1 , 2)
77.
Give the coordinates for POINT I.
a)
(-2, 5)
b)
(-2, -5)
c)
(2, 5)
d)
(2, -5)
78.
What letter is located at (3,0)?
a)
W
b)
A
c)
J
d)
B
79.
Give the coordinates for POINT Y.
a)
(-1, 5)
b)
(-1,-5)
c)
(-5,-1)
d)
(1, -5)
80.
What is the letter of ordered pair (0, 3)?
a)
A
b)
M
c)
R
d)
L
81.
What is coordinate  point for R?
a)
(2,5)
b)
(0,1)
c)
(2,3)
d)
(1,0)
82.

Give the coordinate for W.

a)

(0,3)

b)

(0, -3)

c)

(-3,0)

d)

(3,0)

83.

What is the name of this?

a)

quarter

b)

penny

c)

dime

d)

nickel

84.

what is the name of this?

a)

quarter

b)

penny

c)

dime

d)

nickel

85.

what is the name of this?

a)

quarter

b)

penny

c)

dime

d)

nickel

86.

what is the name of this?

a)

quarter

b)

penny

c)

dime

d)

nickel

87.

what is the name of this?

a)

dollar

b)

quarter

c)

dime

d)

penny

88.

How much is a quarter worth?

a)

10 cents

b)

5 cents

c)

25 cents

d)

1 cent

89.

How much is dime worth?

a)

10 cents

b)

25 cents

c)

5 cents

d)

1 cent

90.

How much is a nickel worth?

a)

10 cents

b)

100 cents

c)

5 cents

d)

1 cent

91.

How much is a penny worth?

a)

10 cents

b)

100 cents

c)

5 cents

d)

1 cent

92.

How many cents are in one dollar?

a)

10 cents

b)

100 cents

c)

5 cents

d)

1 cent

93.
x + y = 50
a)
expression
b)
equation
94.
The numbers by themselves are called ___________
a)
constants
b)
coefficients
c)
exponents
d)
terms
95.
Which is an example of a variable in the following equation?
9g + 3 = 60
a)
9
b)
g
c)
3
d)
60
96.
A variable is used to represent a number. 
a)
True
b)
False
97.
Which equation has 5 terms?
a)
6x + 8 = 2x
b)
6 + 4.7 - 9y = 3y + 1
c)
125x = 14
d)
2x + 3 = 7 + x
98.
What is the "7m" in this expression?
7m - 9
a)
Expression
b)
Variable
c)
Coefficient
d)
Term
99.
A mathematical sentence stating that two expressions are equal.
a)
expression
b)
equation
100.
Equations must have an
a)
≠
b)
=
c)
≤
d)
≥
101.
A number on its own
a)
term
b)
constant
c)
coefficient
d)
variable
102.
a symbol for an unknown value
a)
term
b)
operator
c)
variable
d)
coefficient
103.
Is the following a expression 
5W
a)
yes
b)
no
104.
How many terms in the following expression:
5x + 3y - 15 + x
a)
1
b)
2
c)
3
d)
4
105.
2x + 3y + 5x = 75
a)
coefficeient
b)
constant
c)
terms
d)
variables
106.
2x + y = 1
a)
coeffiecient
b)
term
c)
variable
d)
constant
107.
y + 5x - 10
a)
coefficient 
b)
terms
c)
variables
d)
constant
108.
x + y
a)
expression
b)
equation
109.
x + y = 50
a)
expression
b)
equation
110.
-16+ x= -15
a)
2
b)
0
c)
-1
d)
1
111.
-7b=49
a)
B=7
b)
B=-7
c)
B=2
112.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
113.
Solve the equation below:
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
114.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
115.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
116.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
117.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
118.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5