Free Printable Rational Algebraic Expressions

1.

Simplify: $\frac{36y}{72z}$

a)

$\frac{4y}{9z}$

b)

$\frac{y}{2z}$

c)

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

d)

$\frac{18y}{38z}$

2.

Simplify: $\frac{b^2-b-6}{b^2+4b+4}$

a)

$\frac{b-6}{b+4}$

b)

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

c)

$\frac{b+3}{b+4}$

d)

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

3.

Evaluate $\frac{60x^3}{12x}$ if $x=-1$

a)

$5$

b)

$-5$

c)

$0$

d)

undefined

4.

Evaluate $\frac{x+4}{x^2+6x+8}$ if $x=2$

a)

$4$

b)

$\frac{1}{4}$

c)

$0$

d)

undefined

5.

Evaluate $\frac{x^2-3x-10}{x^2+x-2}$ if $x=5$

a)

$-\frac{15}{13}$

b)

$1$

c)

$0$

d)

undefined

6.

Multiply:

$\frac{3}{4}\ \ •\ \ \frac{8}{9}=$

a)

$\frac{1}{3}$

b)

$\frac{2}{3}$

c)

$\frac{4}{3}$

d)

$\frac{5}{3}$

7.

Find the product.

\frac{𝑥^2−9}{4𝑥+12}\ •\ \ \frac{8}{x^2-6x+9}\ =

a)

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

b)

$\frac{8}{x+3}$

c)

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

d)

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

8.

Divide:

\frac{x^2+x}{x-1}\div\frac{x^2}{x^2-1}

a)

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

b)

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

c)

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

d)

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

9.

Subtract: $\frac{9x+1}{x-2}-\frac{3x-4}{x-2}$

a)

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

b)

$\frac{12x+5}{x-2}$

c)

$\frac{6x+5}{x-2}$

d)

$\frac{12x-3}{x-2}$

10.

Find the sum: $\frac{x}{x+1}+\frac{2x}{x+2}$

a)

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

b)

$\frac{3x^2+4x}{\left(x+1\right)\left(x+23\right)}$

c)

$\frac{3x}{\left(x+1\right)\left(x+23\right)}$

d)

$\frac{3x^2+4x}{\left(x+1\right)\left(x+2\right)}$

Rational Algebraic Expressions

Total questions: 10

Worksheet time: 17mins

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