Quiz about 6.1-6.5 Quizizz Math 3

Question 1

Simplify

Accepted Answer

A. $$\frac{4x^3}{\left(x+2\right)}$$

Answer

B. $$\frac{4x³}{(x+10)}$$

Answer

C. $$\frac{2x³}{(5x+1)}$$

Answer

D. $$\frac{4x^3}{\left(x-2\right)}$$

Question 2

$$\ \frac{5a^3c^{10}}{20a^5c^4}$$

Accepted Answer

$$\frac{1c^6}{4a^2}$$

Answer

$$\frac{4c^6}{a^2}$$

Answer

$$\frac{1a^2c^6}{4}$$

Answer

$$\frac{1a^2}{4c^6}$$

Question 3

Simplify.

Accepted Answer

3 x3 y

Answer

3 x y3

Answer

8 x3 y

Answer

8 x y3

Question 4

Simplify.

Accepted Answer

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

Answer

$$x-3$$

Answer

$$-21$$

Answer

$$-3$$

Question 5

Simplify. $$\ \frac{x^8y^{12}}{x^4y^{15}}$$

Accepted Answer

$$\frac{x^4}{y^3}$$

Answer

$$\frac{x^{12}}{y^3}$$

Answer

$$x^{12}y^{27}$$

Answer

$$\frac{y^3}{x^4}$$

Question 6

Simplify.

Accepted Answer

Can't be simplified

Answer

1

Answer

-1

Question 7

Simplify

Accepted Answer

$$\frac{1}{(x-9)}$$

Answer

$$\frac{x+9}{x-9}$$

Answer

$$x-9$$

Answer

$$\frac{1}{(x+9)}$$

Answer

$$x+9$$

Question 8

Simplify.

Accepted Answer

$$\frac{1}{n-7}$$

Answer

$$n-7$$

Answer

$$\frac{(n-6)}{(n-7)}$$

Answer

$$n-6$$

Question 9

What is the simplified form of the given rational expression?

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

Accepted Answer

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

Answer

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

Answer

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

Answer

$$1$$

Answer

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

Question 10

Simplify: $$\frac{y^4+3y^3+2y^2}{2y^3-4y^2-16y}$$

Accepted Answer

$$\frac{y\left(y+1\right)}{2\left(y-4\right)}$$

Answer

$$\frac{y+1}{y-4}$$

Answer

$$\frac{y+1}{2\left(y-4\right)}$$

Answer

$$\frac{y\left(y+1\right)}{y-4}$$

Question 11

Simplify: $$\frac{x^3+3x^2-18x}{x^2+x-12}$$

Accepted Answer

$$\frac{x\left(x+6\right)}{x+4}$$

Answer

$$\frac{x+6}{x+4}$$

Answer

$$x^2+6$$

Answer

$$\frac{x\left(x-3\right)}{x-2}$$

Question 12

Simplify: $$\frac{14xy^2z^3}{21w^4x^2yz}\cdot\frac{7wxyz}{12w^2y^3z}$$

Accepted Answer

$$\frac{7z^2}{18w^5y}$$

Answer

$$\frac{7x^2}{9w^5y}$$

Answer

$$\frac{7wyz^2}{9w^2x^2y^2}$$

Answer

$$\frac{7}{18w^7x^3y^7z^6}$$

Question 13

Simplify: $$\frac{x^2-16}{3x^3+18x^2+24x}\cdot\frac{x^3-4x}{2x^2-7x-4}$$

Accepted Answer

$$\frac{x-2}{3\left(2x+1\right)}$$

Answer

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

Answer

$$\frac{3\left(x-2\right)}{2x+1}$$

Answer

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

Question 14

Simplify: $$\frac{x^2-9}{x^2-4x-21}\div\frac{2x^2+7x+3}{2x^2-15x+7}$$

Accepted Answer

$$\frac{\left(x-3\right)\left(2x-1\right)}{\left(x+3\right)\left(2x+1\right)}$$

Answer

$$1$$

Answer

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

Answer

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

Question 15

Simplify: $$\frac{x^2+4x-32}{2x^2+9x-5}\cdot\frac{3x^2-75}{3x^2-11x-4}\div\frac{6x^2-18x-60}{x^3-4x}$$

Accepted Answer

$$\frac{x\left(x-2\right)\left(x+8\right)}{2\left(2x-1\right)\left(3x+1\right)}$$

Answer

$$\frac{x\left(x+8\right)}{2\left(3x+1\right)}$$

Answer

$$\frac{2x\left(x+8\right)}{3x+1}$$

Answer

$$\frac{\left(x-2\right)\left(x+8\right)}{\left(2x-1\right)\left(3x+1\right)}$$

Question 16

The first thing that I need to add or subtract fraction is

Accepted Answer

Have the same denominator

Answer

Have the same numerator

Answer

Have the same exact fraction

Answer

All of the above

Question 17

Add

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 18

Question 18.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 19

Simplify the expression.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 20

Simplify the expression.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 21

To add or subtract rational expressions we must have a _____________>

Accepted Answer

common denominator

Answer

greatest common factor

Answer

calculator

Answer

proportion

Question 22

Perform the indicated operation and simplify: $$\frac{1}{x}-\frac{1}{x-3}$$

Accepted Answer

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

Answer

$$\frac{2x-3}{x\left(x-3\right)}$$

Answer

$$\frac{1}{3}$$

Answer

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

Question 23

What is the first step in simplifying the expression: $$\frac{6}{x-7}+\frac{1}{x^2-49}$$

Accepted Answer

Factor $$x^2-49$$

Answer

Multiply the Denominators

Answer

Add the Denominators

Answer

None of the Above

Question 24

Perform the indicated operation and simplify: $$\frac{x^2+5x-34}{x^2-9x+8}-\frac{10}{x-8}$$

Accepted Answer

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

Answer

$$\frac{x^2-5x-44}{\left(x-8\right)\left(x-1\right)}$$

Answer

$$\frac{x^2-5x-24}{\left(x-8\right)\left(x-1\right)}$$

Answer

$$\frac{x+6}{x-1}$$

Question 25

What would be the common denominator for this expression?

Accepted Answer

$$2x$$

Answer

$$2x^2$$

Answer

$$2x+1$$

Answer

Doesn't exist

Question 26

What would be the common denominator for this expression?

Accepted Answer

$$6a$$

Answer

$$3a$$

Answer

$$2$$

Answer

$$5a$$

Question 27

What would be the common denominator for this rational expression?

Accepted Answer

$$z\left(z+2\right)$$

Answer

$$z$$

Answer

$$z^2+2$$

Answer

$$z^2$$

Question 28

Simplify $$\frac{x}{x^2-49}-\frac{7}{x^2-49}$$

Accepted Answer

$$\frac{1}{x+7}$$

Answer

$$\frac{7}{x+7}$$

Answer

$$\frac{1}{x-7}$$

Answer

$$\frac{x+7}{x}$$

Question 29

When adding and subtracting rational expressions, my first step should be to:

Accepted Answer

Determine a Least Common Denominator.

Answer

Combine like terms in the numerators.

Answer

Factor all of the numerators and all of the denominators.

Answer

Change the operator to multiplication and reciprocate the second fraction.

Question 30

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

Accepted Answer

Dividing

Answer

Adding

Answer

Subtracting

Answer

Multiplying

Question 31

To simplify a rational expression, I should

Accepted Answer

Factor the numerator and denominator and eliminate common factors.

Answer

Eliminate common terms in the numerator and denominator.

Answer

Combine like terms in the numerator and denominator.

Answer

Find an LCD.

Question 32

When adding and subtracting, I should ___________ combine like terms in the denominator.

Accepted Answer

Never

Answer

Always

Answer

Sometimes

Answer

I'm Not Sure.

Question 33

Question 33.

Accepted Answer

$$\frac{2x+12}{x+8}$$

Answer

$$\frac{x+6}{x+4}$$

Answer

$$\frac{x+6}{x+8}$$

Answer

$$\frac{x+3}{x+8}$$

6.1-6.5 Quizizz Math 3

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