Free Printable Q1 QUIZ#2 RATIONAL ALGEBRAIC EXPRESSIONS

1.

What is the quotient of two polynomials?

a)

Rational Expression

b)

Radical Expression

c)

Rational Equation

d)

Radical Equation

2.

Write the quotient of 2x and 5y as a rational expression.

a)

2x / 5y

b)

5y / 2x

c)

2x(5y)

d)

2x - 5y

3.

Which is a rational expression?

a)

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

b)

$\frac{\sqrt{x}}{3}$

c)

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

d)

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

4.

For what value of x will the expression $\frac{x}{x-7}$ be meaningless?

a)

-2

b)

0

c)

2

d)

3

5.

What is(are) the restricted value(s) of the expression $\frac{5}{x-7}$ ?

a)

-7

b)

0

c)

$\pm7$

d)

7

6.

Simplify: $\frac{m^2-4}{m^2-4m+4}$ .

a)

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

b)

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

c)

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

d)

$\frac{1}{4m}$

7.

What is the simplified form of $\frac{9x^3}{3x^4}$ ?

a)

$\frac{3}{x}$

b)

$\frac{x}{3}$

c)

3x

d)

$3x^7$

8.

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

a)

$\frac{1}{2}$

b)

2

c)

2x + 1

d)

x +1

9.

What is the simplified form of $\frac{x^2+5x\ +6}{x^2+4x+3}$ ?

a)

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

b)

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

c)

$x+3$

d)

$x+2$

10.

What is the reciprocal of $\frac{x+5}{x-5}$ ?

a)

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

b)

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

c)

$\frac{1}{x-5}$

d)

$\frac{1}{x+5}$

11.

Find the quotient: $\frac{2x}{7}\div\frac{x}{49}$ .

a)

1/14

b)

2/7

c)

7

d)

14

12.

Divide and simplify: $\frac{x^2+2x-3}{x-1}\div\left(x+3\right)$ .

a)

0

b)

1

c)

x + 1

d)

x + 2

13.

What is the product of $\left(\frac{x}{y}\right)\left(\frac{2}{4x}\right)\left(\frac{4y}{2}\right)$ ?

a)

1

b)

xy

c)

8xy

d)

1 / xy

14.

$\left(\frac{x}{x+4}\right)\left(\frac{x}{x+2}\right)=\frac{ }{\left(x+4\right)\left(x+2\right)}$

a)

x

b)

$x^2$

c)

2x

d)

$2x^2$

15.

What is the sum of $\frac{4x}{5}$ and $\frac{2x}{5}$ ?

a)

$\frac{2x}{5}$

b)

$\frac{2x}{10}$

c)

$\frac{6x}{5}$

d)

$\frac{6x}{10}$

16.

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

a)

$\frac{7x}{3}$

b)

$\frac{x}{2}$

c)

$\frac{7x}{6}$

d)

$\frac{5x}{6}$

17.

What is the difference between $\frac{x-3}{x-2}$ and $\frac{2}{x-2}$ ?

a)

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

b)

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

c)

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

d)

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

18.

What is $\frac{a^2}{b}-\frac{a}{b^2}$ ?

a)

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

b)

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

c)

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

d)

$a^3b^2$

19.

Henry can paint a house in 5 days, what is his rate of work?

a)

5

b)

1/2

c)

1/5

d)

cannot be determined

20.

If Euler can do a job in x number of hours and Ed can do the same job in y number of hours, then Euler and Ed working together can finish the job in ________ hours.

a)

$x+y$

b)

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

c)

$\frac{xy}{x+y}$

d)

$\frac{x+y}{xy}$

Q1 QUIZ#2 RATIONAL ALGEBRAIC EXPRESSIONS

Total questions: 20

Worksheet time: 2hrs 40mins

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