Free Printable Four-2 Diagnostic Test

1.

State the coefficient of mn in the following expression: n - 8mn + 7.

a)

1

b)

7

c)

8

d)

-8

2.

Simplify 3x + 1+ 4x + 5

a)

7x + 6

b)

13x

c)

7x + 5

d)

3x + 6

e)

None of the above

3.

What does inverse mean?

a)

Opposite

b)

Indirect

c)

Multiply

d)

Divide

4.

Solve:
x - 12 = 36

a)

12

b)

24

c)

36

d)

48

5.

What is the goal when solving an algebraic equation?

a)

Simplify

b)

Solve

c)

Isolate the variable

6.

Solve:
3y = 36

a)

12

b)

24

c)

108

d)

39

7.

5 + y = 9

a)

3

b)

4

c)

5

8.

3x+4=16

a)

10

b)

4

c)

16.1

d)

2.7

9.

Simplify 2(3x + 1).

a)

-6x + 1

b)

6x + 2

c)

-6x - 2

d)

-5x - 1

e)

None of the above

10.

Simplify (3x + 1) + (4x + 5).

a)

7x + 6

b)

13x

c)

7x + 5

d)

3x + 6

e)

None of the above

11.

Which of the following options shows like terms?

a)

2x, xy

b)

2x, -10x

c)

$3x^2,\ 4x^3$

d)

$x^2z,\ xz^2$

12.

pq and -qp are like terms

a)

True

b)

False

13.

a+a=

a)

aa

b)

a²

c)

2a

d)

2

14.

There are n rows of students. Each row has 4 students. How many students are there altogether?

a)

4 x n

b)

4n

c)

4 + n

d)

n⁴

15.

The sum of 2, p and q

a)

2pq

b)

2+pq

c)

2+p+q

d)

2 x p x q

16.

What is the difference between a and b?

a)

$a-b$

b)

$ab$

c)

$b+a$

d)

$\frac{a}{b}$

17.

Mr Tan is k years old. His wife is 2 years younger. How old is his wife?

a)

$2-k$

b)

$2k$

c)

$\frac{k}{2}$

d)

$k-2$

18.

Subtract 3 from n

a)

$n-3$

b)

$3-n$

c)

$\frac{3}{n}$

d)

$3n$

19.

Subtract 4 from the sum of a and b

a)

$4-a+b$

b)

$\left(a+b\right)-4$

c)

$\frac{a+b}{4}$

d)

$a+b+4$

20.

Add z to the product of x and y

a)

$xy+z$

b)

$xyz$

c)

$\frac{x}{y}+z$

d)

$x+y+z$

21.

Share p chocolates with k students. Each student gets.....

a)

$p+k$

b)

$pk$

c)

$p-k$

d)

$\frac{p}{k}$

22.

Factorize 3x+9

a)

3(x+3)

b)

x(3+3)

c)

9(x-3)

d)

3x(x+9)

23.

Factorise 9x-9

a)

9(x)

b)

9(x−9)

c)

9(x−1)

d)

9(x+1)

24.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a² + c²

a)

22

b)

34

c)

68

d)

43

25.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
3ab

a)

10

b)

12

c)

15

d)

36

26.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a

a)

5

b)

6

c)

8

d)

10

27.

Work out the value of the expression when x = 3, y = – 2 and z = – 4.

y + x – z

a)

-5

b)

-3

c)

3

d)

5

28.

6h + 30; Solve if h = 6

a)

36

b)

66

c)

96

d)

60

29.

5-7

a)

2

b)

-2

c)

12

d)

-12

30.

-3-8

a)

11

b)

-5

c)

5

d)

-11

31.

4- -4

a)

0

b)

-8

c)

8

d)

16

32.

-3+25

a)

is a positive answer.

b)

is a negative answer

33.

-133+35

a)

Positive

b)

Negative

34.

-23-4

a)

27

b)

-27

c)

19

d)

-19

35.

-4 - (-7)

a)

-11

b)

3

c)

-3

d)

5

Four-2 Diagnostic Test

Total questions: 35

Worksheet time: 42mins

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