Free Printable Year 8 Algebra Test

1.

Full name

4 lines

2.

An example of a constant is:

a)

x

b)

3

c)

3x

d)

3(x-4)

3.

A letter or symbol used to represent a value in algebra is called a

a)

variable

b)

constant

c)

expression

d)

algebra

4.

How many terms does this expression have? $2a^2+4a+5$

a)

0

b)

1

c)

2

d)

3

5.

Which of these is a like term to the term shown: $3x^2$

a)

$2x^3$

b)

$3$

c)

$x^2y^2$

d)

$x^2$

6.

What is the coefficient of b in this expression?

$\frac{x^2}{3}+x_{ }^2+2ax+b$

a)

1

b)

1/3

c)

2

d)

b

7.

$3x+5x-7x^2$

Simplify by grouping like terms:

a)

$8x-7x^2$

b)

$15x$

c)

$15x^2$

d)

$x^2$

8.

Simplify $5x\times7+3$

a)

5x+10

b)

15x

c)

38x

d)

35x+3

9.

Simplify: $5a\times2b\times3c$

a)

$10abc$

b)

$15abc$

c)

$30abc$

d)

$10+abc$

10.

Evaluate this expression if x = 3, a = 2 and b = 0

$\frac{x^2}{3}+x_{ }^2+2ax+b$

a)

19

b)

4

c)

24

d)

0

11.

A number is multiplied by 3 and then 4 is taken away. Which expression represents this?

a)

3(x-4)

b)

4(x-3)

c)

3x-4

d)

4-3x

12.

The price of a hotdog has been reduced by $1 so you buy 10 of them. Which expression represents the total cost of this?

a)

10+x

b)

10(x+1)

c)

10(x-1)

d)

10x-1

13.

Substitute x=5 and y=-3 into this expression and evaluate. $x\left(5-y\right)$

a)

40

b)

7

c)

20

d)

10

14.

$3\left(x-1\right)+2x$ Expand and simplify:

a)

5x

b)

6x

c)

5x-1

d)

6x-1

15.

$3x\left(x+2\right)$ Expand and simplify:

a)

$3x_{ }^2+6$

b)

$3x^3+6$

c)

$3x^2+6x$

d)

$3x^3+6x$

16.

Factorise this expression: $7x-7$

a)

7(x-1)

b)

7(x+1)

c)

7x-1

d)

7x-7

17.

$10ab+20a$

Factorise this expression:

a)

10(ab+a)

b)

10(ab+a)

c)

10a(ab+2a)

d)

10a(b+2)

18.

Simplify this expression:

$\frac{35ab}{14a}$

a)

$\frac{7b}{a}$

b)

$\frac{7b}{2}$

c)

$\frac{7}{a}$

d)

$7ab$

19.

Simplify this expression:

$\frac{15x^2}{5x}+\frac{abc}{abc}$

a)

$\frac{3}{x}+abc$

b)

$\frac{3}{3}x+abc$

c)

$3x+1$

d)

$3x^2+1$

20.

Evaluate this expression if x=3, y=5 and z=9
$4y\left(7-\frac{12}{x}\right)$

(a)

21.

3 donuts costs $9, 4 drinks costs $8.
How much would 5 donuts and 3 drinks cost?
Give your answer as a number with a $ in front, e.g. $10

(a)

Year 8 Algebra Test

Total questions: 21

Worksheet time: 1hrs 3mins

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