Free Printable Quiz #3 Quarter 1

1.

Which of the following is the correct order of simplifying rational algebraic expressions?
I. Multiply the remaining factors.
II. Factor completely the numerator and denominator.
III. Separate and divide out common factor/s if there is/are any.

a)

II, III, I

b)

I, II, III

c)

I, III, II

d)

III, II, I

2.

Which of the following is a rational expression in simplest form?

a)

$\frac{2y}{4x}$

b)

$\frac{2𝑥−6}{34}$

c)

$\frac{𝑎^2−1}{𝑎^3+1}$

d)

$\frac{2𝑎^2+7𝑎−4}{a+2}$

3.

Which of the following is equivalent to the rational expression $\frac{7−𝑥}{𝑥−7}$

a)

-1

b)

1

c)

-1 and 1

d)

Neither -1 nor 1

4.

Multiply the two rational expressions and simplify the result $\frac{x^2}{y}\cdot\frac{3y^3}{2x^3}$

a)

$\frac{3y^2}{2x}$

b)

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

c)

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

d)

$\frac{3y^2}{x}$

5.

Multiply the two rational expressions and simplify the result $\frac{x-1}{x-2}\cdot\frac{2}{x+2}$

a)

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

b)

$\frac{2x−2}{x^2-4}$

c)

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

d)

$\frac{1}{x}$

6.

Multiply and Simplify $\frac{x+3}{4}\cdot\frac{x+2}{x^2+4x+3}$

a)

$\frac{4x+12}{x+2}$

b)

$\frac{x+2}{4x+12}$

c)

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

d)

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

7.

Multiply $\frac{\left(x-5\right)\left(x-8\right)}{x+1}\cdot\frac{x+1}{\left(x+5\right)\left(x-8\right)}$

a)

1

b)

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

c)

$\frac{x-8}{x+5}$

d)

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

8.

What is the divisor in the given expression $\frac{2x-5}{4}\div\frac{x+3}{4}$

a)

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

b)

$\frac{2x-5}{4}$

c)

$\frac{x+3}{2x-5}$

d)

$\frac{2x-5}{x+3}$

9.

What is the quotient when $\frac{𝑟+9}{r-2}$ is divided by $\frac{2𝑟+1}{r-2}$

a)

$\frac{𝑟−2}{2r}$

b)

$\frac{𝑟+2}{2r-1}$

c)

$\frac{𝑟−9}{2r}$

d)

$\frac{𝑟+9}{2r+1}$

10.

Your classmate divided rational algebraic expressions as presented.

Is your classmate’s solution correct?

a)

Yes. The solution presented is correct.

b)

Yes. Common factors can be directly divided out.

c)

$No.The\ correct\ answer\ is\ \frac{4}{\left(x+3\right)^2}$

d)

No. Get the reciprocal of the divisor first, then multiply.

Quiz #3 Quarter 1

Total questions: 10

Worksheet time: 10mins

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