Free Printable simplifying algebraic expressions

1.

Class

a)

1 Cambridge

b)

1 Harvard

c)

1 Oxford

d)

1 Sheffield

e)

1 Yale

2.

Simplify the following

$a+a+a+a$

a)

$a$

b)

$4a$

c)

$a^4$

d)

$4a^4$

3.

Simplify the following: $2a+a+3b-4b$

a)

$24a^2b^2$

b)

$3a-b$

c)

$3a+7b$

d)

$3a^2-7b^2$

e)

$9ab$

4.

Simplify the following: $\frac{1}{3}a+\frac{1}{6}a$

a)

$\frac{1}{9}a$

b)

$\frac{1}{6}a$

c)

$\frac{1}{2}a$

d)

$a$

5.

Simplify the following:

$a-b+3a-4b$

a)

$4a-5b$

b)

$4a-3b$

c)

$-2a-3b$

d)

$-2a+5b$

6.

Simplify the following:

$x^2-5xy+3x^2+2xy$

a)

$x^2y$

b)

$4x^2-3xy$

c)

$4x^2-7xy$

d)

$xy$

7.

Simplify the following:

$\left(2p+q\right)\ +\left(2p+3q\right)$

a)

$4p+4q$

b)

$4pq$

c)

$4p^2+3q^2$

d)

$7pq$

8.

Simplify the following: $\left(5x-3y\right)-\left(2x+2y\right)$

a)

$7x+5y$

b)

$3x-y$

c)

$3x+5y$

d)

$3x-5y$

9.

Simplify the following: $\left(3pq+rs\right)-\left(3pq-4rs\right)$

a)

$5rs$

b)

$pq+5rs$

c)

$-3rs$

d)

$pq-3rs$

10.

Simplify the following: $4a\times a^2$

a)

$8a$

b)

$5a^2$

c)

$4a^3$

d)

$\frac{2}{a}$

11.

Simplify the following: $8p^2q\div4p$

a)

$4p^2q$

b)

$2pq$

c)

$2p^3q$

d)

$4pq^{ }$

12.

Simplify the following: $\left(7mn\right)^2$

a)

$7mn^2$

b)

$14mn$

c)

$49m^2n^2$

d)

$7m^2n^2$

13.

Simplify the following: $-3x^2y\times4xy^3$

a)

$12x^3y^4$

b)

$-12x^2y^3$

c)

$-12x^3y^4$

d)

$12x^2y^3$

14.

Simplify the following: $4pqr\div2qr^{2\ }$

a)

$8pq^{2\ }r^3$

b)

$\frac{2p}{r}$

c)

$2pr$

d)

$\frac{4p}{qr}$

15.

Simplify the following: $\frac{x}{2}\times3xy$

a)

$6x^2y$

b)

$\frac{x}{6y}$

c)

$\frac{3x^2y}{2}$

d)

$\frac{3x}{2y}$

16.

Simplify the following:

$\frac{4}{9}hrw\times\frac{3}{2hw}$

a)

$\frac{2r}{3}$

b)

$6r$

c)

$\frac{r}{6}$

d)

$\frac{3r}{2}$

17.

Simplify the following: $-2ab\div\frac{1}{3}a$

a)

$-6b$

b)

$-6a^2b$

c)

$-\frac{2b}{3}$

d)

$-\frac{2a^2b}{3}$

18.

Simplify the following:

$6x^3y^2\div2xy^2\times3xy$

a)

$xy$

b)

$\frac{x}{y}$

c)

$9x^3y$

d)

$6x^3y^2$

19.

Simplify the following:
$24ab^2\times2dc^3b\div12ab^3c^4$

a)

$2a^2bc^3d$

b)

$\frac{4d}{c}$

c)

$4abcd$

d)

$\frac{2ad}{bc}$

20.

Simplify the following:

$4e\times3de\div\left(-2d^3e\right)$

a)

$12d^4e^3$

b)

$-\frac{6e}{d^2}$

c)

$6de^{2\ }$

d)

$-\frac{12e}{d}$

simplifying algebraic expressions

Total questions: 20

Worksheet time: 58mins

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