Free Printable Year 8 Algebra

1.

What is the pronumeral or variable of the term 9c?

(a)

2.

What is the coefficient of the term 9c?

(a)

3.

What is the pronumeral or variable of the term -x?

(a)

4.

What is the coefficient of the term -x?

(a)

5.

How many terms are in the following expression? And which term is the constant?
$4x^2+3x+7$

a)

2 terms and constant is 7

b)

2 terms and constant is 3

c)

3 terms and constant is 7

d)

3 terms and constant is 3

6.

How many terms are in the following expression? And which term is the constant?
$−9m^2+8m-6+2m^3$

a)

3 terms and constant is 6

b)

3 terms and constant is -6

c)

4 terms and constant is 6

d)

4 terms and constant is -6

7.

Given s = number of stingrays, c = number of catfish and h= number of seahorses, write an algebraic expression for triple the number of stingrays plus the seahorses.

(a)

8.

Given $l=2$ , $m=8$ and $n=3$ calculate $l+m+n$

(a)

9.

Given $m=8$ and $n=3$ calculate $mn$

(a)

10.

Given $l=2$ and $m=8$ calculate $\frac{m}{l}$

(a)

11.

Given $l=2$ , calculate $4l$

(a)

12.

Simplify the following expression by collecting like terms $11m–4m$

(a)

13.

Simplify the following expression by collecting like terms $4z+8y+5z+y=$

(a)

14.

Evaluate the following expression when
$a=4$ and $b=-3$ :

$2a+b$

(a)

15.

The formula for the area, $Acm^2$ , of a trapezium is $A=\frac{(a+b)h}{2}$ . Calculate the area of the trapezium when a=10, b=26 and h=6.

a)

$A=108cm$

b)

$A=72cm$

c)

$A=108cm^2$

d)

$A=72cm^2$

16.

Simplify the following expression by collecting the like terms $2x^2-3x-5x+4x^2=$

a)

$8x^2+15x$

b)

$2x^2-8x+4x^2$

c)

$-2x^2$

d)

$6x^2-8x$

17.

Simplify the following expression by collecting the like terms $3p^2-4p+p^2+8p+6=$

a)

$3p^2+12p+6$

b)

$3p^2-4p+6$

c)

$4p^2+4p+6$

d)

$4p^2+4p$

18.

Expand the following expression $-4\left(y-3\right)$

(a)

19.

Expand the following expression $3n(2n+7)=$

a)

$6n^2+21n$

b)

$6n^2+21$

c)

$6n^2+7$

20.

Fully factorise the following expression by finding the highest common factor
$3x+15$

(a)

21.

Fully factorise the following expression by finding the highest common factor
$12-4f$

(a)

22.

Simplify $4x\times x=$

(a)

23.

Simplify $21b÷7=$

(a)

24.

$\frac{-50g}{10g}$

Simplify

(a)

25.

Full factorise the following expression $-18m-24mn$

(a)

26.

Fully factorise the following expression $4y^2+20y$

(a)

27.

Expand and simplify $4m(3m-2)+m(3m+5)=$

a)

$15m^2+3m$

b)

$15m^2-3m$

c)

$15m^2+13m$

d)

$15m^2+13$

28.

The width of a rectangular prism is $w\ cm$

If the length, $l$ , is 4cm more than the width, then the expression is $l=$

(a)

29.

The width of a rectangular prism is $w\ cm$

If the height, $h$ , is 1cm less than the width, then the expression is $h=$

(a)

30.

The width of a rectangular prism is $w\ cm$ and the volume of the prism is

V=width×length×height

Given the length $l$ is 4cm more than the width and the height $h$ is 1cm less than the width, what is the expression for volume? $V\ =$

(a)

31.

The volume of the prism is

V=w\left(w+4\right)\left(w-1\right)

What is the volume when the width is 5cm? $V\ =$

(a)

32.

$\frac{(3y^3x)}{9yx^5}×-6y^8x^3=$ Simplify the following

a)

$-2xy^{10}$

b)

$-\frac{2y^{10}}{x}$

c)

$-\frac{6y^{10}x^3}{3x^4}$

d)

$-\frac{6y^{10}}{2x}$

33.

Simplify the following
$\frac{3a^2b^2}{2c}÷-\frac{18ab^3}{c^2}=$

a)

$\frac{c^2a}{12cb}$

b)

$\frac{ac}{12b}$

c)

$-\frac{ac}{12b}$

d)

$\frac{12ac}{3b}$

Year 8 Algebra

Total questions: 33

Worksheet time: 44mins

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