Free Printable Unit 9 Expressions and formulae review

1.

Simplify this expression.
$y^{10}\times y^4$

a)

$y^{14}$

b)

$y^{40}$

c)

$2y^{14}$

d)

$2y^{40}$

2.

Simplify this expression.
$72y^{15}\div8y^6$

a)

$9y^9$

b)

$y^{21}$

c)

$9y^{21}$

d)

$y^9$

3.

Write an expression for the perimeter of this figure.

Write it in its simplest form.

a)

$2\left(8x-10\right)+3$

b)

$16x-14$

c)

$16x-26$

d)

$8x-7$

4.

Write an expression for the area of this figure.
Write the expression in its simplest form.

a)

$24x-30$

b)

$24x+30$

c)

$8x-7$

d)

$8x-13$

5.

Work out the value of this expression when $x=-6,\ y=4\ and\ z=-1$

$\frac{2x^2+yz}{y}+16$

a)

33

b)

34

c)

35

d)

36

6.

Use the formula $P=2\left(l+b\right)$ to work out $b$ when $P=14\ and\ l=3$

a)

4

b)

6

c)

8

d)

10

7.

Use the formula $P=2\left(l+b\right)$ to work out $P$ when $l=-10\ and\ b=14$

a)

4

b)

6

c)

8

d)

10

8.

Factorise

$63m^2n+18m^3n$

a)

$9m^2n\left(7+2m\right)$

b)

$9m^2\left(7n+2mn\right)$

c)

$9m^3n\left(7m+2\right)$

9.

Factorise

$3xy-y$

a)

$3\left(xy+y\right)$

b)

$y\left(3x-1\right)$

c)

$y\left(3x-y\right)$

10.

Expand and simplify

$\left(x+4\right)\left(x-11\right)$

a)

$x^2+7x-44$

b)

$x^2-7x-44$

c)

$x^2-15-44$

Unit 9 Expressions and formulae review

Total questions: 10

Worksheet time: 17mins

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