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Worksheets

S2-EN-1 Algebraic

Total questions: 80

Worksheet time: 2hrs 21mins

Name
Class
Date
1.
k + k + k + k + k =
a)
3k
b)
4k
c)
5k
d)
6k
2.
r + r + r + 12 + 7 =
a)
r + 19
b)
3r - 5
c)
3r + 19
d)
2r + 5
3.
In the term 12d, 12 is called the...
a)
variable
b)
product
c)
simplify
d)
coefficient
4.
7s - 2s + 10=
a)
15s
b)
5s + 10
c)
19s
d)
9s + 10
5.
19p - 6p + p=
a)
p
b)
13p
c)
26p
d)
14p
6.
Simplify:
5x - 6x - 8x + 7 
a)
-9x + 7
b)
-9x -  7
c)
9x + 7 
d)
9x - 7
7.
4a + 9 + a
a)
5a + 9
b)
3a-9
c)
3a + 9
d)
5a - 9
8.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
9.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
10.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
11.
How many terms are in the expression below:
-3c + 7d
a)
one
b)
two
c)
three
d)
four
12.
Simplify:
14k + 4 + 18 - 16k
a)
30k + 14
b)
30k - 14
c)
-2k + 22
d)
-2k + 14
13.

Simiplify: 5a + 3a

a)

15a

b)

8a

c)

15a2

d)

8a2

14.

Simplify: 6e - 9 + 10e

a)

16e + 9

b)

7e

c)

16e - 9

d)

-4e - 9

15.

Simplify 12p + 15 - 13 - 11p

a)

p + 2

b)

p - 28

c)

2

d)

28

16.

What is an algebraic expression?

a)

a letter or a symbol used to represent an unknown value

b)

an expression that contains numbers, operations, and one or more variables

c)

a specific number whose values does not change

17.

Evaluate the expression when x =2:

3x + 8

a)

13

b)

14

c)

15

d)

16

18.

Evaluate the expression when x = 8:

2x + x - 10

a)

34

b)

22

c)

14

d)

24

19.
Evaluate the expression when x = 3. 
2x2 - 5
a)
31
b)
12
c)
7
d)
13
20.

Evaluate the expression when g = 3 and h = 9:

4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

21.

Evaluate the expression when a = 3, b = 4, and c = -6:

bc + 5a

a)

9

b)

38

c)

-38

d)

-9

22.

Evaluate the expression when x = -1 and y = 3:

x2 + y2 + x - y

a)

6

b)

8

c)

12

d)

16

23.

Evaluate the expression when a = 4 and b = -2:

a2 - b2

a)

4

b)

20

c)

-4

d)

12

24.

Evaluate the expression when a = -15:

|a - 5| + 2

a)

22

b)

27

c)

-18

d)

7

25.

Evaluate the expression when p = 9 and q = 2:

|10p - 7q|

a)

31

b)

76

c)

-76

d)

152

26.

b − 3 + 6 − 2b

a)

-b + 3

b)

3b + 9

c)

b + 3

d)

-3b + 3

27.

9 + 5r − 9r

a)

4r + 9

b)

-4r - 9

c)

-4r + 9

d)

5r

28.

−2(7 − n) + 4

a)

-n + 18

b)

-2n - 10

c)

-n + 9

d)

2n - 10

29.

−8(−5b + 7) + 5b

a)

45b − 56

b)

-35b + 7

c)

-45b + 56

d)

10b - 1

30.

−4p − (1 − 6 p)

a)

-10p

b)

2p − 1

c)

-10p -1

d)

-2p - 4

31.

−7(k − 8) + 2k

a)

-5k - 56

b)

-5k - 8

c)

10k - 7

d)

−5k + 56

32.

4 − 5(−4n + 3)

a)

-9n + 7

b)

20n - 11

c)

-20n + 19

d)

20n + 19

33.

1 + 7(1 − 3b)

a)

-3b + 9

b)

21b + 8

c)

-3b + 7

d)

-21b + 8

34.

3 − 8(7 − 5n)

a)

-5n + 59

b)

-40n +31

c)

40n - 53

d)

-35n -5

35.

−6(a + 8)

a)

-6a + 8

b)

-6a - 48

c)

-6a + 2

d)

6a + 48

36.

6(−5n + 7)

a)

-11n + 13

b)

30n + 42

c)

-30n + 7

d)

-30n + 42

37.

−8(1 − 5x)

a)

-8 + 40x

b)

8 + 40x

c)

-8 - 40x

d)

8 - 40x

38.

Factor. 6a + 20

a)

2(a + 10)

b)

6(a + 14)

c)

2(3a + 10)

d)

3(2a + 5)

39.

Factor. 4x + 10

a)

4(x + 10)

b)

2(2x + 10)

c)

4(x + 2)

d)

2(2x + 5)

40.

Factor. 45c + 10d

a)

45(c + 10d)

b)

5(9c + 2d)

c)

5cd(9 + 2)

d)

2(22.5c + 5d)

41.

Factor. 27 - 9x + 15y

a)

9(3 - x + 15y)

b)

3(9 - 3x + 5y)

c)

2(13 - 5x + 7y)

d)

3(9 - 9x + 5y)

42.

addition, subtraction, multiplication, division

a)

operations

b)

solution

c)

algebraic expression

d)

equation

43.

A letter used to represent a number value in an expression or an equation.

a)

equation

b)

operations

c)

variable

d)

algebraic expression

44.

A mathematical statement that says that two expressions have the same value; any number sentence with an =.

a)

solution

b)

factor

c)

algebraic expression

d)

equation

45.

The value of a variable that makes an equation true.

a)

operation

b)

expression

c)

factor

d)

solution

46.

Simplify the expression:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

47.

Simplify the expression:

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

48.

Simplify the expression:

-5(x + 4)

a)

5x + 4

b)

-5x + 4

c)

-5x - 20

d)

-5x + 20

49.

Simplify the expression:

7(a + 8) - 5a + 4

a)

2a + 60

b)

-5a + 60

c)

2a + 56

d)

7a + 4

50.

Simplify the expression:

17 + 7h - 19 + 14h

a)

21h + 36

b)

21h - 2

c)

7h + 36

d)

7h - 2

51.
Simplify the expression:
6 + 2(7x - 3) 
a)
14x + 12
b)
14x
c)
14x - 12
d)
56x - 24
52.

Simplify the expression:

5(2 - 7n)

a)

52 -57n

b)

10 -7n

c)

10 - 35n

d)

10 + 35n

53.

Simplify the expression:

19 - ( 3 - 5b)

a)

16 + 5b

b)

21 + 5b

c)

16 - 5b

d)

21 - 5b

54.
A number with no variable attached is called a  _____.
a)
coefficient
b)
constant
c)
variable
d)
term
55.
A letter that represents a number is called a _____.
a)
variable
b)
coefficient
c)
constant
d)
term
56.

Simplify the expression:

3 - 5(a - 4)

a)

23 - 5a

b)

5a - 23

c)

18a

d)

-18a

57.

Simplify the expression:

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

58.

Simplify the expression:

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

59.
Fill in the blank:
2(x + 7) = 2x + __
a)
7
b)
14
c)
7x
d)
14x
60.
Fill in the blank:
4(3x + __) = 12x + 16
a)
4
b)
16
c)
4x
d)
12
61.

Simplify the expression:

3h +7(2 + 4h)

a)

90h

b)

7h + 20

c)

50h

d)

31h +14

62.
Simplify the expression
11(9 + d)
a)
99 + d
b)
20 + 9d
c)
20 + d
d)
99+11d
63.
Simplify the expression:
5(p - 6)
a)
5p - 30
b)
5p - 5
c)
p - 30
d)
5p + 11
64.

Simplify the expression:

2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

65.

Simplify the expression:

3x + 2x

a)

5x

b)

x

c)

6x

d)

5

66.
The sum of 6 and x
a)
x + 6
b)
6/x
c)
x + 4
d)
6x
67.
What is the quotient of y and 5?
a)
y - 5
b)
y + 5
c)
y X 5
d)
y/5
68.
The total of b and 14 
a)
14 - b
b)
14/b
c)
14 + b 
d)
b - 14 
69.

Choose two. 2x

a)

2 plus x

b)

The product of 2 and x

c)

two times x

d)

x and two more

70.

Five less than y

a)

5 - y

b)

5 + y

c)

y/5

d)

y - 5

71.

The difference between t and 6

a)

t + 6

b)

6 + t

c)

t - 6

d)

6t

72.

three times x increased by eight

a)

3x

b)

3x + 8

c)

3y + 8

d)

x + 8

73.

10 subtracted by a number, b

a)

10 - b

b)

b - 10

c)

b

d)

b + 10

74.

twice a number t, squared

a)

2t

b)

t2

c)

2x

d)

2t2

75.

3y Choose two matching statements

a)

three times y

b)

three plus y

c)

the product of three and y

d)

three divided by y

76.

2f - 4

a)

f minus 4

b)

4 minus f

c)

minus 4

d)

four less than twice a number, f

77.

3y3/7

a)

three times a number

b)

three times a number, y, cubed divided by 7

c)

y cubed

d)

seven

78.

r + 10 Choose two

a)

a number, r, increased by 10

b)

r and ten more

c)

r minus 10

d)

the difference of r and 10

79.

The quotient of 12 and x

a)

x

b)

12

c)

12x

d)

12/x

80.

a number, y, to the power of 4

a)

4y

b)

y4

c)

4

d)

4x