Quiz about Precalculus Challenge Exam Review Activity #3

Question 1

4^(x-2)= 64^(x+1)

Accepted Answer

-5/2

Answer

-2/5

Answer

7/2

Answer

2/7

Question 2

Write the logarithm expression as a single logarithm

2log 4 + log 2

Accepted Answer

log 32

Answer

log 8

Answer

log 16

Answer

log 82

Question 3

Solve log(x) + log(x+3) = 1

Accepted Answer

2

Answer

5

Answer

-2

Answer

-5

Question 4

14^4-6x= 11 round to the nearest tenth

Accepted Answer

0.5

Answer

5

Answer

0.1

Answer

1

Question 5

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

Accepted Answer

Center (4,3)
Radius = 5 units

Answer

Center (4,3)
Radius = 25 units

Answer

Center (-4,-3)
Radius = 25 units

Answer

Center (-4,-3)
Radius = 5 units

Question 6

Please convert the to standard form. x²+ y²+ 4x + 2y - 20 = 0

Accepted Answer

(x + 2)²+ (y + 1)²= 25

Answer

(x - 2)²+ (y - 1)²= 5

Answer

(x + 2)²+ (y + 1)²= 20

Answer

(x + 1)²+ (y + 2)²= 24

Question 7

8 - 9|10r - 9| = -73

Accepted Answer

r = 9/5, r = 0

Answer

r = 0, r = 5

Answer

r = 9/5, r = 1

Answer

r = -63/10, r= 0

Question 8

Solve
8n² + 10n - 3 = 0

Accepted Answer

n = ¹/₄, ^-3/₂

Answer

n = ^-1/₈, ¹⁰/₃

Answer

n = ⁴/₅, - 2

Answer

n = 2, -12

Question 9

The rational function y = $$\frac{2x^2+4x}{5x^2-3x}$$ has a horizontal asymptote at ____

Accepted Answer

y= 2/5

Answer

y=0

Answer

y=1/5

Answer

y=1

Question 10

What are the asymptotes of the following function: y = $$\frac{x}{2x-6}$$

Accepted Answer

y = 1/2, x = 3

Answer

y = 2, x = 6

Answer

y = 1/2, x = 6

Answer

y = 2, x = 3

Question 11

The height h (in feet) above sea level of a person t seconds after they jump off of a cliff is modeled by h = -16t² + 8t + 24

After how many seconds is the person 16 feet above the water?

Accepted Answer

1

Answer

8

Answer

1/2

Answer

1/4

Question 12

Identify the transformations.

Accepted Answer

horizontal shift to the left 2 and vertical shift down 4

Answer

horizontal shift to the right 2 and vertical shift up 4

Answer

horizontal shift to the right 2 and vertical shift down 4

Answer

horizontal shift to the left 2 and vertical shift up 4

Question 13

Find the difference quotient when f(x) = x² - x + 1

Accepted Answer

2x - 1 + h

Answer

4x - 5 - h

Answer

-2x - 1 + h

Answer

x2 + 2h

Question 14

Are the following inverses of each other?

Accepted Answer

Yes

Answer

No

Question 15

Identify the relative maximum:

Accepted Answer

(1, 4)

Answer

(0, 3)

Answer

(4, 1)

Answer

(3, 0)

Question 16

Simplify the expression

Accepted Answer

(12n² - 28n + 4) / (2n-5)(n+2)

Answer

(12n² + 28n + 4) / (2n-5)(n+2)

Answer

(8n) / (3n + 3)

Answer

(12n² + 2n -3) / (2n-5)(n+2)

Question 17

What is the domain?

Accepted Answer

All real numbers except 2 and -2

Answer

All real numbers

Answer

All real numbers except 4

Answer

All real numbers except 2

Question 18

Evaluate $$\csc\left(\frac{\pi}{6}+\frac{5\pi}{4}\right)$$

Accepted Answer

$$\sqrt[]{2}-\sqrt[]{6}$$

Answer

$$\frac{1-\sqrt[]{2}}{2}$$

Answer

$$\frac{1+\sqrt[]{2}}{2}$$

Answer

$$-\sqrt[]{2}+\sqrt[]{6}$$

Question 19

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse?

Accepted Answer

45 feet

Answer

25 feet

Answer

110 feet

Answer

135 feet

Question 20

$$\cos\left(\arcsin\left(\frac{1}{x}\right)\right)$$

Accepted Answer

$$\frac{\sqrt[]{x^2-1}}{x}$$

Answer

$$\sqrt[]{x^2-1}$$

Answer

$$\frac{x}{\sqrt[]{x^2-1}}$$

Answer

$$\sqrt[]{1-x^2}$$

Question 21

Which function below matches this graph?

Accepted Answer

$$ an\left(x+\frac{\pi}{4} ight)$$

Answer

$$ an\left(x-\frac{\pi}{4} ight)$$

Answer

cot(x)

Answer

$$\frac{\pi}{4}\cot x$$

Question 22

Solve on [0,2pi): $$3\sin x=\sqrt[]{3}\cos x$$

Accepted Answer

pi/6 and 7pi/6

Answer

5pi/6 and 11pi/6

Answer

pi/3 and 4pi/3

Answer

2pi/3 and 5pi/3

Precalculus Challenge Exam Review Activity #3

38 questions

4^(x-2)= 64^(x+1)

Write the logarithm expression as a single logarithm
2log 4 + log 2

Solve log(x) + log(x+3) = 1

14^4-6x= 11 round to the nearest tenth

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

Please convert the to standard form. x²+ y²+ 4x + 2y - 20 = 0

8 - 9|10r - 9| = -73

Solve
8n² + 10n - 3 = 0

-3x² + 45 ≥ 6x

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Precalculus Challenge Exam Review Activity #3

38 questions

4(x-2)= 64(x+1)

Write the logarithm expression as a single logarithm2log 4 + log 2

Solve log(x) + log(x+3) = 1

144-6x = 11 round to the nearest tenth

What are the coordinates of the center and the radius of the circle with equation:(x - 4)2 + (y - 3)2 = 25 ?

Please convert the to standard form. x2 + y2 + 4x + 2y - 20 = 0

8 - 9|10r - 9| = -73

Solve 8n2 + 10n - 3 = 0

-3x2 + 45 ≥ 6x

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

4^(x-2)= 64^(x+1)

Write the logarithm expression as a single logarithm
2log 4 + log 2

14^4-6x= 11 round to the nearest tenth

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

Please convert the to standard form. x²+ y²+ 4x + 2y - 20 = 0

Solve
8n² + 10n - 3 = 0

-3x² + 45 ≥ 6x