Reviewer Math 8 Simplifying and Operations on RAE

Fill in the Blank

State the restricted values for the rational expression.

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

Ex. # and #

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Multiple Choice

What can be cancelled in a fraction?

• Only common factors

• Any factors

• Numerators only

• Denominators only

Multiple Choice

Simplify

• $$\frac{x+9}{x-9}$$

• $$\frac{1}{(x-9)}$$
  

• $$x-9$$
  

• $$\frac{1}{(x+9)}$$
  

• $$x+9$$

Multiple Choice

Multiply.

• 90m⁵ / 90m

• m⁴

• m⁵ / m

• 90m⁴

Multiple Choice

Multiply.

• 1

• (x - 8) / (x + 5)

• (x - 5) / (x + 5)

• (x + 1) / (x + 5)

Multiple Choice

Your classmate divided rational algebraic expressions as presented.

Is your classmate’s solution correct?

• Yes. The solution presented is correct.

• Yes. Common factors can be directly divided out.

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

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

Multiple Choice

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

• $$\frac{𝑟−2}{2r}$$  

• $$\frac{𝑟+2}{2r-1}$$  

• $$\frac{𝑟−9}{2r}$$  

• $$\frac{𝑟+9}{2r+1}$$  

Multiple Choice

Simplify $$\frac{2x}{10xy}+\frac{2x}{10xy}$$

• $$\frac{4x}{10xy}$$

• $$\frac{2}{5y}$$

• $$\frac{10x}{4xy}$$

• $$\frac{5}{2y}$$

Multiple Choice

Simplify the expression below:

$$\frac{x}{x^2-9}+\frac{3}{x^2-9}$$

• $$x+3$$

• $$x-3$$

• $$\frac{1}{x+3}$$

• $$\frac{1}{x-3}$$

Multiple Choice

$$\frac{3x\ +\ 4}{x^2\ -\ 16}\ -\ \frac{2x}{x^2-16}=$$

• $$1$$
  

• $$\frac{x+4}{x^2-16}$$
  

• $$\frac{1}{x-4}$$

• $$\frac{1}{x+4}$$
  

Multiple Choice

Find the LCD of these rational algebraic expressions.

• (x+2)(x-2)
• (x+2)
• (x-2)
• (x²-4)(x+2)

Multiple Choice

Find the Least Common Denominator (LCD) of $$\frac{3}{18y^2}and\ \frac{5}{36y^4}$$  .

• $$36y^2$$  

• $$36y^4$$  

• $$90y^2$$  

• $$180y^4$$  

Multiple Choice

Using the LCD 6, look for the equivalent rational algebraic expression of $$\frac{x+1}{3}$$  .

• $$\frac{2x+1}{6}$$  

• $$\frac{2x+2}{6}$$  

• $$\frac{6x+1}{3}$$  

• $$\frac{6x+6}{3}$$  

Multiple Choice

Find the sum of $$\frac{3}{2x}+\frac{5}{x-2}$$  .

ANSWER FOR COMPUTATION

• $$\frac{8}{2x\left(x-2\right)}$$  

• $$\frac{8x-10}{2x\left(x-2\right)}$$  

• $$\frac{13x-2}{2x\left(x-2\right)}$$  

• $$\frac{13x-6}{2x\left(x-2\right)}$$  

Poll

How confident do you feel about this topic now?

• Very confident
• Somewhat confident
• Not confident