Free Printable Quiz #2 (2nd Q) Math 8 Multiplication/Division Rational Exp.

1.

Simplify $\frac{1}{n+5}\times\frac{n^2+2n-15}{n-8}$

a)

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

b)

$\frac{n-3}{\left(n+5\right)\left(n-8\right)}$

c)

$\frac{n^2+2n-15}{\left(n+5\right)\left(n-8\right)}$

d)

$\frac{n^2+2n-14}{2n-3}$

2.

$\frac{2a-20}{6a}\times\frac{a-9}{a-10}$ Simplify

a)

$\frac{2a^2-180}{6a^2-60a}$

b)

$\frac{2\left(a-9\right)}{6a}$

c)

$\frac{a-9}{3a}$

d)

$\frac{3a-29}{7a-10}$

3.

$\frac{m^2+m-30}{m^2+13m\ +42}\div\frac{m-2}{m+7}$ Simplify

a)

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

b)

$\frac{\left(m-5\right)\left(m-2\right)}{\left(m+7\right)^2}$

c)

$\frac{m^2+2m-32}{m^2+14m+49}$

d)

$\frac{-5}{2m^2}$

4.

$\frac{2}{8m^3-64m^2}\div\frac{1}{8m^2}$

a)

$\frac{2}{m-64m^2}$

b)

$\frac{16m^2}{8m^2\left(m-8\right)}$

c)

$\frac{2}{64m^4\left(m-8\right)}$

d)

$\frac{2}{m-8}$

5.

Multiply and Simplify

a)

4(x+3)/(x+2),

b)

(x+2)/4(x+1)

c)

(x+2)/4(x+3),

d)

4(x+1)/(x+2),

6.

$\frac{x^2+10x+25}{x^2-9}\cdot\frac{x^2+3x}{x+5}=$

a)

$\frac{x\left(x+5\right)}{x+3}$

b)

$\frac{x\left(x-5\right)}{x-3}$

c)

$\frac{x\left(x+5\right)}{x-3}$

d)

$\frac{x\left(x-5\right)}{x+3}$

7.

$\frac{30}{x^2+4x-12}\div\frac{6x}{x-2}=$

a)

$\frac{5}{x\left(x+6\right)}$

b)

$\frac{5}{x\left(x-6\right)}$

c)

$\frac{180x}{\left(x+6\right)\left(x-2\right)}$

d)

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

8.

a)

1 / 5p

b)

12 / 50p

c)

2 / 10p

d)

8 / 16p

9.

a)

7(r + 2)/ (r + 2)

b)

(r - 8) / (r + 2)

c)

(r + 2) / 7

d)

(r - 8) / 7

10.

Multiply and Simplify

a)

5a-25/ (a-5)(a+9)

b)

5/(a+9)

c)

5a-25/ (a+9)

d)

1/(a+9)

11.

Simplify by cancelling

a)

1

b)

-1

c)

Can't be simplified

12.

My first step will be to change the operator to multiplication and reciprocate the second fraction when...

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

13.

To simplify a rational expression, I should

a)

Eliminate common terms in the numerator and denominator.

b)

Combine like terms in the numerator and denominator.

c)

Factor the numerator and denominator and eliminate common factors.

d)

Find an LCD.

14.

Find the product: $\frac{a+b}{a^3+b^3}\times\frac{a^2-ab+b^2}{a-b}$

a)

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

b)

$\frac{1}{a-b}$

c)

$a+b$

d)

1

15.

Find the quotient: $\frac{a^2-4}{3a}\div\frac{5a^2}{a-2}$

a)

$\frac{5a\left(a+4\right)}{3}$

b)

$\frac{a^3-2a^2-4a+8}{15a^3}$

c)

$\frac{5a^2+20a}{3}$

d)

$\frac{a^3-6a+8}{15a}$

Quiz #2 (2nd Q) Math 8 Multiplication/Division Rational Exp.

Total questions: 15

Worksheet time: 30mins

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