Free Printable 8-Mabait Rational Algebraic Expressions

1.

Identify the given if it is rational expression or not.

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

a)

Rational expression

b)

Not rational expression

2.

Identify the given if it is rational expression or not.

\frac{-5x^2}{3x+1}

a)

rational expression

b)

not rational expression

3.

Identify the given if it is rational expression or not.

\frac{2}{x^{\frac{1}{2}}+\ 7}

a)

rational expression

b)

not rational expression

4.

Identify the given if it is rational expression or not.

\frac{1}{2}

a)

rational expression

b)

not rational expression

5.

Identify the given if it is rational expression or not.

\frac{n}{8+\sqrt{n}}

a)

rational expression

b)

not rational expression

6.

An expression of the form $\frac{n}{d}$ where n and d are polynomials and d 0.

a)

Rational Algebraic expression

b)

Polynomials

c)

Binomials

d)

Monomials

7.

A rational expression is said to be in lowest terms when its numerator and denominator have no common factors other than _____.

a)

1

b)

2

c)

3

d)

4

8.

What is the greatest common factor of each set of monomials 3x³, 6x , 9x²

a)

x³

b)

18x³

c)

3x²

d)

9x

9.

$Simplify\ \ \ \frac{x^2+4x\ +\ 4}{x+2}$

a)

(x-1)(x-1)

b)

x+2

c)

1

d)

4(x+2)

10.

$What\ is\ the\ LCD\ of\frac{1}{2x^3}and\ \ \frac{3x}{2x^4}$

a)

$2x^3$

b)

$2x^4$

c)

$4x^3$

d)

$4x^4$

11.

$What\ is\ the\ sum\ of\ \frac{2x}{x+3}and\ \frac{8x}{x+3}?$

a)

$\frac{10x}{x+3}$

b)

10

c)

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

d)

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

12.

$Add\ \frac{2}{3a}\ to\ \frac{1}{2b}.$

a)

$\frac{4b+3a}{6ab}$

b)

$\frac{4b-3a}{6ab}$

c)

6ab

d)

-6ab

13.

$Subtract\frac{a+b}{4}\ to\ \frac{a-b}{3}.$

a)

$\frac{a-7b}{12}$

b)

$\frac{-a-7b}{12}$

c)

$\frac{a+7b}{12}$

d)

$\frac{-a+7b}{12}$

14.

$What\ is\ \frac{2x}{x-2y}less\ than\ \frac{2y}{2y-x}?$

a)

1

b)

$\frac{2\left(x+2\right)}{x-2y}$

c)

-1

d)

$\frac{2\left(x-2\right)}{x-2y}$

15.

What is the product of

\frac{1}{z}and\ \frac{2}{z}

a)

$\frac{2}{z^2}$

b)

$-\frac{2}{z^2}$

c)

$\frac{3}{z}$

d)

z

16.

Multiply

\frac{r+s}{r^2-s^2}and\ \frac{r^2-2rs+s^2}{r^2-rs}

a)

r-s

b)

$\frac{1}{r}$

c)

$-\frac{1}{r}$

d)

r+s

17.

$Divide\frac{v^2-9}{3v^2+12}by\ \frac{v+3}{v^2+4}$

a)

$\frac{v-3}{3}$

b)

$\frac{v+3}{3}$

c)

(v+3)(v-3)

d)

3

18.

$\frac{h^2}{k^4}\div7h$

a)

$-\frac{h}{7k^4}$

b)

h

c)

$\frac{h}{7k^4}$

d)

7k

19.

$Simplify\ \frac{v^2-9}{3v^2+9v}$

a)

$\frac{v+3}{3v}$

b)

$\frac{v-3}{3v}$

c)

v-3

d)

3v

20.

$What\ must\ be\ added\ to\ \frac{1}{x}to\ produce\ \frac{1}{3}?$

a)

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

b)

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

c)

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

d)

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

8-Mabait Rational Algebraic Expressions

Total questions: 20

Worksheet time: 2hrs 40mins

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