Question 1

A ball drops from the top of a tower and the height is modeled by the equation h(t)=-16t²+1200, where t is the time in seconds and h is the height in feet. Johnny catches the ball at a height of 8 feet off the ground, right before it hits the ground. How long did the ball fall?

30

8.631 seconds

176 seconds

8.660 seconds

Accepted Answer

8.631 seconds

Answer

176 seconds

Answer

8.660 seconds

Question 2

Which parent function listed does not have a range of [0, $\infty$ )?

Accepted Answer

Rational

Answer

Square Root

Answer

Absolute Value

Answer

Quadratic

Question 3

Solve:

-3(x - 2)²- 8 = 46

Accepted Answer

x = 2 $\infty$ 3i $\sqrt{2}$

Answer

x = 2 $\infty$ $\sqrt{2}$

Answer

x = 2 $\infty$ 3 $\sqrt{2}$

Answer

Question 4

Solve with Quadratic Formula:

3x²+ 7x + 2 = 0

Accepted Answer

x = -1/3 , -2

Answer

x = -1 , -6

Answer

x = 1/3 , -2

Question 5

Simplify:

(8 - 3x) - (4x²+ 7x - 2)

Accepted Answer

-4x²- 10x + 10

Answer

4x² -10x + 6

Answer

-4x² + 4x + 6

Question 6

Which polynomial will have x-intercepts at x = 0, -4 and 5?

Accepted Answer

y = x(x + 4)(x - 5)

Answer

y = (x + 4)(x - 5)

Answer

y = x(x - 4)(x + 5)

Question 7

Which polynomial will have a 'bounce' at x = 3?

Accepted Answer

y = x(x - 3)²

Answer

y = x(x + 3)²

Answer

y = x²(x - 3)

Question 8

Solve:

(x + 3)^1/3 = 4

Accepted Answer

x = 61

Answer

x = 1

Answer

x = 64

Question 9

Solve:

5= $\sqrt[3]{6x\ +\ 26}$

Accepted Answer

x = 16.5

Answer

x = 125

Answer

x =25.1

Question 10

Solve:

27 = (6x)³

Accepted Answer

x = 1/2

Answer

x = -2

Answer

x = 2

Question 11

Solve:

9 = $\sqrt[3]{6x\ +\ 26}$

Accepted Answer

x = 79

Answer

x = $\infty$

Answer

x = 7

Question 12

y = $\infty$ is transformed to be y = $\sqrt{2}$ which means it had the following transformations:

Accepted Answer

Vertical Reflection, Vertical Stretch, left 4 and up 2

Answer

Horizontal Reflection, Vertical Stretch, right 4 and up 2

Answer

Vertical Reflection, Vertical Shrink, right 4 and up 2

Question 13

Which is FALSE about an extraneous solution?

Accepted Answer

Is always a negative value

Answer

Can be found with algebra, but will not exist on the graph

Answer

Will not work when plugged back in to check

Question 14

Given the function y = (x + 2)² - 3, what is the range?

Accepted Answer

$\left[-3,\infty\right)$

Answer

$\left[-3,\infty\right)$

Answer

$\left[-3,\infty\right)$

Answer

$\left[-3,\infty\right)$

Question 15

The time it takes to paint a fence varies inversely with the number of people able to paint. If it takes 4 people 20 minutes to paint a fence, it will take 5 people how much time to paint the same fence?

Accepted Answer

16 minutes

Answer

80 minutes

Answer

15 minutes

Question 16

Given the rational below, state the undefined values on the domain:

$\frac{-4x}{x^2-5x-24}$

Accepted Answer

x $\infty$ 8, -3

Answer

x $\infty$ 0, 8, -3

Answer

x $\infty$ -8, 3

Answer

x $\infty$ x, -8, 3

Question 17

Which function has a vertical asymptote at x = -2?

Accepted Answer

$\left[-3,\infty\right)$

Answer

$\left[-3,\infty\right)$

Answer

$\left[-3,\infty\right)$

Question 18

Solve:

$\frac{-4x}{x^2-5x-24}$

Accepted Answer

x = 2

Answer

x = 5

Answer

x = 0

Question 19

Which has a vertical asymptote at x = -3?

Accepted Answer

y = $\infty$

Answer

y = $\infty$

Answer

y = $\infty$

Question 20

Find the amount you will have if you invest $1500 at 2.6% for 5 years compounded continuously.

Accepted Answer

about $1708

Answer

about $5504

Answer

about $3050

Question 21

Solve:

log₆(5x+1) = 3

Accepted Answer

x = 43

Answer

x = 145.6

Answer

x = 7.2

Question 22

Solve:

4^x+3= 64^x+2

Accepted Answer

x = -3/2

Answer

x = -1

Answer

x = 3/2

Answer

x = 1

Question 23

Find the inverse equation for

y = e^x+ 3

Accepted Answer

y = ln (x - 3)

Answer

y = ln (x + 3)

Answer

y = ln (x) + 3

Answer

y = ln (x) - 3

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