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Worksheets

Algebra Year 6

Total questions: 51

Worksheet time: 1hrs 3mins

Name
Class
Date
1.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
2.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
3.

Simplify by Combining like terms

3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

4.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
5.

Simplify the expression 3b + b - 2b

a)

3b

b)

b

c)

2b

6.
Simplify: 4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
7.
If a = 4 and b = 6, what is the value of 3a + 5b?
a)
40
b)
42
c)
44
d)
46
8.
If y = 7, find the value of 2(y+4).
a)
11
b)
22
c)
20
d)
12
9.
Which of the following is the correct expansion of:
5(r - 2)?
a)
5r - 2
b)
5r +2
c)
5r + 10
d)
5r - 10
10.
Which of the following is the correct expansion of:
a(a - 10)?
a)
a2 - 10a
b)
2a - 10
c)
2a2 - 10
d)
a - 10a2
11.

Solve for X in the expression:

x + 7 < 9

a)

x < 2

b)

x < 16

c)

x < 63

d)

x < - 2

12.

Solve x in the equation 4(4+4x)=96

a)

5

b)

1.5

c)

9

d)

10

13.
Solve the following equation.
4x + 3 = -5
a)
1/2
b)
-1/2
c)
-2
d)
2
14.

Solve X in the equation x + 4 = 12

a)

x = 6

b)

x = 8

c)

x = 14

d)

x = 10

15.

If a3 = 8, then the value of a is:

a)

a = 3

b)

a = 4

c)

a = 2

d)

a = 8

16.

Find the value of c in the equation: c + (10 - 5) = 10

a)

c = 5

b)

c = 10

c)

c = 15

d)

c = 25

17.

If g is 4 then 5g =

a)

25

b)

5

c)

4

d)

20

18.

Find the value of a in the equation: a + 100 - 2 = 118

a)

a = 20

b)

a = 128

c)

a = 118

d)

a = 90

19.

If b + b + b = 12, then the value of b is:

a)

b = 3

b)

b = 12

c)

b = 9

d)

b = 4

20.

If x + 7 = y which is true?

a)

x = 9 and y = 16

b)

x = 9 and y = 2

c)

x = 16 and y = 16

d)

x = 16 and y = 9

21.

x + y = y - 2, therefore is is:

a)

x = y

b)

x = y - 2

c)

x = -2

d)

x = 2

22.

If x - 25 = 25, then X=...

a)

x = 25

b)

x = 50

c)

x = xy

d)

x = 75

23.

If b + b + b + b + b = 30, then the value of b is.....

a)

b = 6

b)

b = 30

c)

b = 5

d)

b = 2

24.

b x c x d = 30, if c = 5 and d = 3, then...

a)

b = 30

b)

b = 23

c)

b = 17

d)

b = 2

25.

If 29 - q = 13, then the value of q=

a)

q = 17

b)

q = 16

c)

q = 42

d)

q = 13

26.

What is the algebraic expression for "the sum of n and 9"?

a)

n - 9

b)

n + 9

c)

n/9

d)

9n

27.
take 10 away from s 
a)
10 - s 
b)
s + 10
c)
s - 10
d)
s/10
28.

What is six times the number of girls when g = number of girls

a)

6 + g

b)

6g

c)

g - 6

29.
What is a variable in Algebra?
a)
Something that changes
b)
An unknown value
c)
An equation
d)
A numeric expression
30.
What is an algebraic expression made of?
a)
Numbers and operations
b)
Numbers and multiplication
c)
Addition and multiplication
d)
Numbers and variables
31.
Spot fetched 12 sticks and some rocks when he played outside. How many objects did he fetch in all?
a)
12 - r
b)
12/r
c)
12 + r
d)
12r
32.
What word phrase can you use to represent "5x + 2"?
a)
five times the sum of a number x and two
b)
two times the sum of a number x and five
c)
a number x times the sum of five and two
d)
the sum of five times a number x and two
33.
A mathematical sentence in which there are 2 expressions on either sided of an equal sign.  
a)
Expression
b)
Term
c)
Equation
d)
Operator
34.

4 + N = 8, What is N

a)

2

b)

3

c)

4

d)

5

35.

4R= 16 , what is the value of R = ?

a)

3

b)

4

c)

5

d)

6

36.

If (R) boys have 25 dollars less than the girls, who have 76 dollars, how much is R worth?

a)

50

b)

51

c)

52

d)

53

37.

M- 14= 25, what does M =?

a)

37

b)

38

c)

39

d)

40

38.

12 x M = 48, What does M =

a)

3

b)

4

c)

5

d)

6

39.
7 less than a number d
a)
7 - d
b)
d - 7
40.

What expressions represents 'w' lunches at $5 each

a)

5w

b)

5 + w

41.
What does 45 mean?
a)
4x4x4x4x4
b)
4x5
c)
5x5x5x5
42.

Which expression represents the total of b and 14

a)

14 - b

b)

14/b

c)

14 + b

d)

b - 14

43.

Simplify the expression 7g + 5 + 6g - 3

a)

13g - 3

b)

12g + 5

c)

13g + 2

d)

13g - 2

44.

Simplify the expression 5e - 2 + 3e

a)

8e - 2

b)

8e + (-2)

c)

8e + 2

d)

2e - 2

45.

Simplify the expression 4(-p - 6)

a)

4p - 24

b)

4p + 24

c)

-4p + 24

d)

-4p - 24

46.

Which expression represents y + y + y =

a)

3y

b)

3 + y

c)

y + 3

d)

y/3

47.

Simplify the expression 2x + 2x =

a)

x + 4

b)

2 + x

c)

2 + 2

d)

4x

48.

Simplify the expression 4y - 2y =

a)

2y

b)

6y

c)

y + 2

d)

y - 2

49.

Simplify the expression 5x + 3x =

a)

7

b)

2x

c)

8x

d)

2 - x

50.

Simplify the expression 3x + 9x + 4x =

a)

16

b)

16x

c)

16 - x

d)

x - 16

51.

Simplify the expression 3x + 2 + 3x =

a)

8x

b)

2x

c)

3x+2

d)

6x+2