Free Printable algebra

1.

Simplify 4⁰

a)

1

b)

4

c)

0

2.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

3.

a⁷×a⁴÷a⁵

a)

a⁷

b)

a⁶

c)

a⁴

d)

a¹¹

4.

Write (4⁷ x 4³) ∕ 4⁴ as a single power

a)

4¹⁴

b)

4¹

c)

4⁸

d)

4⁶

5.

a)

y⁴

b)

y⁵

c)

y⁶

d)

6^y

6.

a)

z¹

b)

1

c)

0

d)

z^-1

7.

a)

t²⁴

b)

t¹²

c)

t¹⁸

d)

t^-12

8.

Calculate 3a⁸ x 4a²

a)

12a¹⁰

b)

12a¹⁶

c)

7a¹⁰

d)

7a¹⁶

9.

Simplify: (4pq³)² ÷ (2p²q)³

a)

2p^-4q³

b)

8p⁴q³

c)

16p⁴q²

d)

4p^-4q²

10.

Simplify

a)

10x³

b)

x⁴ / 2

c)

x³

d)

x³ / 2

11.

Expand $3\left(x+y\right)$ .

a)

$3x+y$

b)

$x+3y$

c)

$3x+3y$

d)

$3x$

12.

Expand $a\left(a+1\right)$ .

a)

$a^2+a$

b)

$a^2+1$

c)

$2a$

d)

$a+1$

13.

Expand $a\left(b+c+d\right)$

a)

$ab+c+d$

b)

$abcd$

c)

$ab+ac+ad$

d)

$ab+cd$

14.

Evaluate the expression using the values
m = 7, r = 8, and t = 2.
4m + t

a)

30

b)

28

c)

26

d)

14

15.

Factorise $6x-9$ fully.

a)

$3(3-2x)$

b)

$3(2x-3)$

c)

$-3(3+2x)$

d)

I don't know 😓

16.

Factorise $xy+cy$ fully.

a)

$-y(-c+x)$

b)

$-y(-x+c)$

c)

$y(c+x)$

d)

I don't know 😓

17.

Factorise 3r³ + 9r

a)

r² (3 + r)

b)

3r (3 + r)

c)

3r (r² + 3)

d)

3 (r² + 3)

18.

Factor
4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

19.

Simplify the algebraic fraction.

a)

3/r

b)

r/3

c)

3r

d)

1/3r

20.

Simplify the algebraic fraction.

a)

-m

b)

-1/m

c)

m/n

d)

1/mn

algebra

Total questions: 20

Worksheet time: 22mins

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