Free Printable Rational expressions

1.

Simplify $\frac{6p^2}{12p}$

a)

2p

b)

$\frac{p}{2}$

c)

$\frac{2}{p}$

2.

8r³ + 16r²

a)

4r²(2r + 4)

b)

8r²(r + 2)

c)

8(r³ + r²)

d)

4(r³ + 2r²)

3.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

4.

Factor:
x² - 9

a)

(x + 3)(x - 3)

b)

(x + 3)²

c)

(x - 3)²

d)

(x+3)(x+3)

5.

Factor Completely:
-3x - 15

a)

-3 (x + 5)

b)

3 (x + 5)

c)

-3 (x - 5)

d)

3 (x - 5)

6.

Factor Completely:
16mw + 80mw²

a)

2(8w + 10m)

b)

16mw(1 + 5w)

c)

4(4w + 20m)

d)

No factors

7.

Simplify $\frac{15x^2}{5x^3}$

a)

3x

b)

$\frac{3}{x}$

c)

$\frac{x}{3}$

8.

Reduce to its lowest term.

\frac{5}{20}

a)

$\frac{1}{4}$

b)

$\frac{2}{3}$

9.

Reduce to its lowest term.

\frac{60xy^3}{25xy}

a)

$12y^2$

b)

$\frac{12y^2}{5}$

c)

$\frac{12y^2}{5x}$

10.

Reduce to its lowest term.

\frac{9b^2y}{27by}

a)

$\frac{2b}{3}$

b)

$3b$

c)

$\frac{b}{3}$

Rational expressions

Total questions: 10

Worksheet time: 17mins

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