Free Printable 2.3 Algebraic Expressions and Basic Operations

1.

Simplify:

\left(3c-d\right)^2+d\left(5c-d\right)

a)

$9c^2-cd$

b)

$9c-d$

c)

$6c^2+dc$

2.

Simplify:

\frac{1}{pq}-\frac{5}{pr}

a)

$\frac{r}{pq}$

b)

$-\frac{4}{pqr}$

c)

$\frac{r-5q}{pqr}$

3.

Simplify:

\frac{2}{3x}-\frac{x-1}{6x}

a)

$\frac{3-x}{6x}$

b)

$\frac{5-x}{6x}$

c)

$\frac{1-x}{6x}$

4.

Simplify:

\frac{3}{10x}+\frac{2}{15x}

a)

$\frac{26}{60x}$

b)

$\frac{65}{150x}$

c)

$\frac{13}{30x}$

5.

Simplify:

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

a)

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

b)

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

c)

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

6.

Simplify:

\frac{9k-3}{4}\times\frac{2k}{3k-1}

a)

$\frac{18k^2-6k}{12k-4}$

b)

$\frac{6k}{4}$

c)

$\frac{3k}{2}$

7.

Simplify:

\frac{3}{x+1}\times\frac{x^2-1}{6}

a)

$\frac{x-1}{2}$

b)

$\frac{x+1}{2}$

c)

$\frac{x}{2}$

8.

$Simplify$ $\frac{x+2}{4}\div\frac{x^2-4}{3}$

a)

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

b)

$\frac{3}{4x-4}$

c)

$\frac{3}{4x-8}$

9.

$Solve$

$6u-10-\frac{3u^2+15u}{3u}$

a)

$5\left(u-1\right)$

b)

$5\left(u-3\right)$

c)

$5\left(u-2\right)$

d)

$5u-10$

10.

$Solve$ $\frac{x^2+3x-10}{x^2-4}$

a)

$\frac{x-2}{x+2}$

b)

$\frac{5+x}{x}$

c)

$\frac{x+5}{x+2}$

d)

$\frac{x-5}{x-2}$

11.

$Solve$ $\frac{h^2-hk}{5h+1}\div\frac{h^2-k^2}{10h+2}$

a)

$\frac{2h}{h+k}$

b)

$\frac{h}{h-k}$

c)

$\frac{2h}{h-k}$

d)

$\frac{h}{h+k}$

12.

$Solve$ $\frac{3}{4b}\left(16a+24b\right)-\frac{5a}{b}$

a)

$\frac{6b-a}{b}$

b)

$\frac{7a+18}{b}$

c)

$\frac{17a+18b}{b}$

d)

$\frac{7a+18b}{b}$

2.3 Algebraic Expressions and Basic Operations

Total questions: 12

Worksheet time: 24mins

Similar Resources on Wayground