Free Printable Year 7 Algebra

1.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

2.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

3.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

4.

Expand and Simplify 4(x-1)+5

a)

4x-9

b)

4x+1

c)

4x-1

d)

4x+9

5.

Expand 2(x+5)

a)

2x+10

b)

2x+5

c)

2x+7

d)

2x+25

6.

If a = 4 & b = 6, what is 3a + 5b?

a)

40

b)

42

c)

44

d)

46

7.

If p=3 and q=5,find
p +q+2

a)

12

b)

10

c)

8

8.

If s = 3 & t = 9, what is 2t - 3s?

a)

8

b)

9

c)

10

d)

11

9.

d²+ d²+ d²+d²

a)

4d²

b)

d⁸

c)

dddd⁸

d)

4d⁴

10.

7y²+ 3y²

a)

21y²

b)

10y⁴

c)

10y²

11.

When x = 3, y = 6 and z = 7, find 2x - z

a)

-1

b)

-2

c)

-3

d)

-4

12.

2(3 + a)

a)

6 + 2a

b)

5 + a

c)

5 + 2a

d)

6 + a

13.

3(b + c)

a)

3b + 3c

b)

3b + c

c)

3 + 3c

d)

b + c

14.

Expand 5(x - 3)

a)

5x - 15

b)

5x + 15

c)

5x - 8

d)

x - 15

15.

Write an expression for: 7 less than m

a)

7 - m

b)

m - 7

c)

7 + m

d)

7m

16.

Write an expression for: 5 more than x

a)

5 - x

b)

5 + x

c)

x - 5

d)

5x + 5

17.

Write an expression for: half of w

a)

w/2

b)

2w

c)

2/w

d)

2 - w

18.

Write an expression for: double the sum of p and q

a)

2(p+q)

b)

2p + q

c)

2(p - q)

d)

2p + 2q

19.

Write an expression for: 10 times the difference of a and b

a)

10(a - b)

b)

10a - b

c)

10a/b

d)

10(a + b)

20.

Evaluate xy by sustituting x = 6 and y = -2

a)

-12

b)

12

c)

-62

d)

4

21.

Evaluate 2x + 3y by sustituting x = 6 and y = -2

a)

6

b)

18

c)

-6

d)

22

22.

Six times an unknown number

a)

6b

b)

b6

c)

b x 6

d)

b x b x b x b x b

23.

Is this an expression or equation? o + 17 = 22

a)

Expression

b)

Equation

24.

Simplify: 2f + 5g + 7f + 3g

a)

10f + 6g

b)

7fg + 10fg

c)

7f + 10g

d)

9f + 8g

25.

x(x + 1) + 3(x + 1)

a)

x² + 4x +3

b)

x² + 3x +3

c)

6x + 3

d)

x² + x +3

26.

Expand and simplify the following quadratic expression...

(x + 3)(x + 2)

a)

x² + 5x + 6

b)

x² + 5x + 5

c)

x² + 6x + 6

d)

x² + 6x + 5

27.

3x(x+1)

a)

3x²+1

b)

3x²+3x

c)

3x+1

28.

Simplify 3c × 4d × 2w

a)

24cdw

b)

9cdw

c)

28cdw

d)

cannot be simplified

29.

Simplify 6x ÷ 2

a)

3x

b)

3

c)

3/x

d)

6x/2

30.

Find the value of y when x = 2.

a)

2

b)

6

c)

7

d)

8

31.

Simplify as far as possible:
-r - 10r

a)

11r

b)

-11r

c)

9r

d)

-11

32.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

33.

b×b×b×b in index form is equal to

a)

4b

b)

b⁴

c)

b³

d)

2b²

34.

√100 = ...

a)

1

b)

10

c)

100

d)

1000

35.

2⁵ = ...

a)

10

b)

16

c)

25

d)

32

36.

Which equals 3(n + 5) when n=4

a)

3x4+5

b)

3x9

c)

3+4x5

d)

3n + 5

37.

Translate the sentence into an equation:
Four more than six times a number is 18.

a)

10x = 18

b)

4x + 6 = 18

c)

4 + 6x = 18

d)

not enough info

38.

Expand -7(x+3)

a)

7x-21

b)

-7x+21

c)

-7x-21

d)

7x+3

39.

Which function represents the table of values?

a)

f(x) = 4x

b)

f(x) = x³

c)

f(x) = 4^x

d)

f(x) = 4^x-1

40.

If x=5,find the value of 7x-1

a)

34

b)

36

c)

35

d)

74

Year 7 Algebra

Total questions: 40

Worksheet time: 1hrs 20mins

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