Free Printable Unit 17 - More Algebra

1.

Expand and Simplify

a)

$23+8\sqrt{7}$

b)

$23-8\sqrt{7}$

c)

$9-8\sqrt{7}$

d)

$9+8\sqrt{7}$

2.

Rationalise the Denominator

a)

$\frac{3\sqrt{5}+\sqrt{10}}{5}$

b)

$\frac{3\sqrt{5}-\sqrt{5}}{5}$

c)

$\frac{3\sqrt{5}-\sqrt{10}}{5}$

d)

$\frac{\sqrt{5}-\sqrt{10}}{5}$

3.

a)

$y=2x+5$

b)

$y=2x-5$

c)

$y=5x-2$

d)

$y=5x+2$

4.

a)

26 and 19

b)

26 and 16

c)

25 and 16

d)

26 and -16

5.

a)

-43

b)

29

c)

43

d)

-29

6.

a)

6x/1

b)

22/6x

c)

1/6x

d)

1/6

7.

a)

$\frac{x^2}{y^5}$

b)

$\frac{8x^2y}{9y^5}$

c)

$\frac{x^2}{9y^5}$

d)

$\frac{8x^2}{9y^5}$

8.

Expand and Simplify

a)

$14+6\sqrt{5}$

b)

$14-6\sqrt{5}$

c)

$4+6\sqrt{5}$

d)

$4-6\sqrt{5}$

9.

a)

$b=\frac{2+5a}{a+7}$

b)

$b=\frac{2-5a}{a+7}$

c)

$b=\frac{2+5a}{a-7}$

d)

$b=\frac{2+5a}{a}$

10.

a)

-1.2 and 1

b)

1.2 and -1

c)

-1.2 and -1

d)

1.2 and 1

Unit 17 - More Algebra

Total questions: 10

Worksheet time: 30mins

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