Quiz about Q03 Review Day 2

Question 1

Given the formula: $$af\left(x-h\right)+k$$ , what does the letter 'a' represent? (select all that apply)

Accepted Answer

Vertical stretch/compression

Accepted Answer

Reflection

Answer

Horizontal translation

Answer

Vertical Translation

Question 2

Given the formula: $$af\left(x-h\right)+k$$ , what does the letter 'h' represent? (select all that apply)

Accepted Answer

Horizontal translation

Answer

Vertical stretch/compression

Answer

Vertical Translation

Answer

Reflection

Question 3

Given the formula: $$af\left(x-h\right)+k$$ , what does the letter 'k' represent? (select all that apply)

Accepted Answer

Vertical Translation

Answer

Vertical stretch/compression

Answer

Horizontal translation

Answer

Reflection

Question 4

A group of students is decorating the school gymnasium for the Valentine's Day dance. Working alone, Maria can decorate the gym in 6 hours, while Jason can do it in 8 hours. If they work together, how long will it take them to complete the decoration?

Accepted Answer

~ 3.43 hours

Answer

14 hours

Answer

7 hours

Answer

~ 0.29 hours

Question 5

Karl can clean a room in 3 hours. If his little sister Kyra helps, they can clean it in 2 hours. Which equation will help find how long would it take Kyra to do the job alone?

Accepted Answer

$$\frac{1}{3}+\frac{1}{x}=\frac{1}{2}$$

Answer

$$3+x=2$$

Answer

$$\frac{1}{3x}=\frac{1}{2}$$

Answer

$$\frac{1}{3}+\frac{1}{2}=\frac{1}{x}$$

Question 6

Karl can clean a room in 3 hours. If his little sister Kyra helps, they can clean it in 2 hours. How long would it take Kyra to do the job alone?

Accepted Answer

6 hours

Answer

5 hours

Answer

2.5 hours

Answer

3 hours

Question 7

A group of students is decorating the school gymnasium for the Valentine's Day dance. Working alone, Maria can decorate the gym in 6 hours, while Jason can do it in 8 hours. Which equation would help you calculate how long will it take them to complete the decoration if they work together?

Accepted Answer

$$\frac{1}{6}+\frac{1}{8}=\frac{1}{x}$$

Answer

$$\frac{1}{6}+\frac{1}{x}=\frac{1}{8}$$

Answer

$$6+8=x$$

Answer

$$\frac{1}{6x}=\frac{1}{8}$$

Question 8

Identify the x-intercept of the following: $$2\sqrt[3]{x-1}+2$$

Accepted Answer

0

Answer

-1

Answer

2

Answer

1

Question 9

Identify the x-intercept of the following: $$2\sqrt[3]{x-1}+4$$

Accepted Answer

-7

Answer

4

Answer

2

Answer

1

Question 10

What is the value of x in the equation below?

$$\frac{x}{x-3}-\frac{4}{x-4}=\frac{6}{\left(x-3\right)\left(x-4\right)}$$

Accepted Answer

x = 2

x = 3 is extraneous

Answer

x = 2, 3

Answer

x = 3

x = 2 is extraneous

Question 11

What values of x are not possible (if any) in the given equation?

$$\frac{20}{x^2-16}+\frac{17}{x+4}=7$$

Accepted Answer

$$x e-4,4$$

Answer

$$x e-4,16$$

Answer

$$x
e4$$

Answer

$$x
e-4$$

Answer

$$x
e16$$

Question 12

What is the vertical asymptote of $$\frac{x^2+2}{x+7}$$

Accepted Answer

x = -7

Answer

x = 7

Answer

y = 7

Answer

y = -7

Question 13

What is the vertical asymptote of $$\frac{2x+2}{x-3}$$

Accepted Answer

x = 3

Answer

x = -3

Answer

y = 3

Answer

y = -3

Question 14

What is the horizontal asymptote of $$\frac{x^2+2}{x+7}$$

Accepted Answer

n/a

Answer

$$y=\frac{2}{7}$$

Answer

$$y=0$$

Answer

$$y=1$$

Question 15

What is the horizontal asymptote of $$\frac{2x+2}{x-3}$$

Accepted Answer

$$y=2$$

Answer

n/a

Answer

$$y=\frac{2}{3}$$

Answer

$$y=0$$

Question 16

What is the horizontal asymptote of $$\frac{x+2}{x^2-16}$$

Accepted Answer

$$y=0$$

Answer

n/a

Answer

$$y=\frac{1}{8}$$

Answer

$$y=1$$

Question 17

On a string instrument, the length of a string varies inversely as the frequency of its vibrations. An 11-inch string has a frequency of 400. What will be the frequency of a 10-inch string?

Accepted Answer

440

Answer

~0.28

Answer

~363.64

Question 18

When solving a problem like the following, what should be the FIRST STEP? $$\frac{2x^2+18}{x^2-16}\div\frac{x^2+8x-9}{4x-16}$$

Accepted Answer

factor everything!

Answer

panic

Answer

just divide

Question 19

What expression is equivalent to the following?
$$\frac{2x^2+18}{x^2-16}\div\frac{x^2+8x-9}{4x-16}$$

Accepted Answer

$$\frac{8}{\left(x+4\right)\left(x-1\right)}$$

Answer

$$\frac{2x-2}{4x+16}$$

Question 20

What is the sum of $$\frac{x+4}{3}+\frac{x-2}{2}$$

Accepted Answer

$$\frac{5x+2}{6}$$

Answer

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

Answer

$$\frac{2x+2}{6}$$

Answer

$$x+1$$

Question 21

True or false? The quotient of $$\left(x^4-x^3-7x^2+x+6\right)\div\left(x+2\right)$$ is $$x^3-3x^2-x+3$$

Accepted Answer

True

Answer

False

Q03 Review Day 2

24 questions

Given g(x)=−5f(x−3)+7 , the graph moves up ___ from the parent function.

Given g(x)=−5f(x−3)+7 , the graph moves right ___ from the parent function.

Given g(x)=5f(x−3)+7 , the graph has a vertical stretch of ___ from the parent function.

A group of students is decorating the school gymnasium for the Valentine's Day dance. Working alone, Maria can decorate the gym in 6 hours, while Jason can do it in 8 hours. If they work together, how long will it take them to complete the decoration?

Karl can clean a room in 3 hours. If his little sister Kyra helps, they can clean it in 2 hours. Which equation will help find how long would it take Kyra to do the job alone?

Karl can clean a room in 3 hours. If his little sister Kyra helps, they can clean it in 2 hours. How long would it take Kyra to do the job alone?

A group of students is decorating the school gymnasium for the Valentine's Day dance. Working alone, Maria can decorate the gym in 6 hours, while Jason can do it in 8 hours. Which equation would help you calculate how long will it take them to complete the decoration if they work together?

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