Free Printable Simplification

1.

Without using a calculator, what is the value of: $\ 19\ -\left(1+5\right)\ -3$ ?

a)

15

b)

10

c)

15

d)

20

2.

Write $\frac{1}{4\times4\times4\times4\times4}$ in index form

a)

$4^5$

b)

$4^{-5}$

3.

Which operation would you do first? ( 12 + 10) ÷ 10 x 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

4.

7 x 7 x 7 x 7 x 7 = ...

a)

$7^3$

b)

$7^4$

c)

$7^5$

d)

$7^n$

5.

Simplify $5p+7q-4p-4q$ .

(No spaces in answer)

(a)

6.

Simplify $4b-2a+6a+b$ .

(No spaces in answer)

(a)

7.

Simplify $a\ +\ a$

a)

2a

b)

0

c)

$a^2$

d)

$2a^{2\ }$

8.

Simplify $p^5\div p$

a)

$p^6$

b)

$p^4$

c)

$p^5$

9.

Simplify $-2x-5y-6y+3x$ .

(No spaces in answer)

(a)

10.

Without using a calculator, what is the value of:

$13-\left(12-6\div3\right)$ ?

a)

11

b)

3

c)

$\frac{7}{3}$

d)

none of these

11.

Write 6²x 6³as a single power

a)

7776

b)

6⁶

c)

6⁵

d)

36⁵

12.

Simplify $a\ \times\ a$

a)

2a

b)

0

c)

$a^2$

d)

$2a^{2\ }$

13.

Simplify the following expression:

x - y - z + 4 - x + 2z - y - 3

a)

-2y + z +1

b)

-2y - z + 1

c)

-2x - 2y + z + 1

d)

-2x - 2y - z + 1

14.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

15.

Simplify 4⁰

a)

1

b)

4

c)

0

16.

Simplify $7m-2n-9m-\left(-4n\right)$ .

(No spaces in answer)

(a)

17.

How else can you write $\frac{1}{x^3}$ ?

a)

$\frac{1}{x^3}$

b)

$x^3$

c)

$\frac{1}{x^{-3}}$

d)

$x^{-3}$

18.

Simplify $-3h+\left(-6k\right)+2h-\left(-7k\right)$ .

(No spaces in answer)

(a)

19.

Simplify: χ³ ÷ χ²

a)

χ

b)

χ⁵

c)

χ⁶

d)

χ^-1

20.

Simplify:

25 x ⁶

5 x ³

a)

20x³

b)

5x⁹

c)

5x³

21.

Simplify the expression: $ab+b+a+a²b-a+b-ab-b$

a)

$a²b+b$

b)

$ab+2b$

c)

$2a^2b+2b-a$

d)

$a²b+ab+b$

22.

Simplify

$\frac{5p^3q^2}{6p^2q}$

a)

$\frac{5p}{6}$

b)

$\frac{5p^5q^3}{6}$

c)

$\frac{5p}{6q}$

d)

$\frac{5pq}{6}$

23.

$Simplify\ \ \ \ \ \frac{18m^5n^4}{3m^2n^3}$

a)

$6m^2n$

b)

$6m^3n$

c)

$6mn^3$

d)

$6m^7n^7$

Simplification

Total questions: 23

Worksheet time: 2hrs 55mins

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