Quiz about A2-2025 Unit 7 Final Review

Question 1

y = $$\frac{1}{4}^{(x-1)}+1$$ Which graph represents the function?

Accepted Answer

Question 2

y = $$\frac{1}{4}^{(x-1)}+1$$ Does the equation represent growth or decay?

Accepted Answer

Decay

Answer

Growth

Answer

Neither

Question 3

y = $$\frac{1}{4}^{(x-1)}+1$$ What is the asymptote?

Accepted Answer

y = 1

Answer

x = 1

Answer

$$y=\frac{1}{4}$$

Answer

$$x=\frac{1}{4}$$

Question 4

$$y = 2^{(x-2)} - 1$$ Which graph represents the function?

Accepted Answer

Question 5

$$y = 2^{(x-2)} - 1$$ What is the asymptote for the function?

Accepted Answer

y = -1

Answer

y = 2

Answer

x = 2

Answer

x = -1

Question 6

$$y = 2^{(x-2)} - 1$$ Does this function represent Exponential Growth or Decay?

Accepted Answer

Growth

Answer

Decay

Answer

Neither

Question 7

Which graph represents the equation $$y = 2^{(x-2)} + 2$$ ?

Accepted Answer

Question 8

$$(1/3)^{(x-2)}$$ + 1 Which graph represents the function?

Accepted Answer

Question 9

Solve each equation. 9) $$5^{(2-k)} = 1$$

Accepted Answer

{2}

Answer

No solution.

Answer

(2/3)

Answer

{-7}

Question 10

Solve each equation. 10) $$(\frac{1}{5})^n * 25^{2n} = 25^{1-3n}$$

Accepted Answer

(2/9)

Answer

(1/2)

Answer

{-7}

Answer

{-3}

Question 11

$$5^{2v-1} = 5^{-2v}$$

Accepted Answer

{1/4}

Answer

{5/4}

Answer

{10}

Answer

{2}

Question 12

$$81^{3n+2} · 27^n = 243^{-n}$$

Accepted Answer

{-2/5}

Answer

{0}

Answer

{6/5}

Answer

{All real numbers.}

Question 13

$$\frac{625^{3r+2}}{125^{3r}}=125$$

Accepted Answer

{-5/21}

Answer

{4/3}

Answer

{5/4}

Answer

{-3/2}

Question 14

$$9^{2m} = 9^{3m}$$

Accepted Answer

{0}

Answer

{11/8}

Answer

{1/5}

Answer

{1/4}

Question 15

$$243^{2k+2} = 81^{3k}$$

Accepted Answer

{5}

Answer

{3}

Answer

{0}

Answer

{-8}

Question 16

$$\left(\frac{1}{81}\right)^{-x-1}$$ = 27

Accepted Answer

{-1/4}

Answer

{1/5}

Answer

{-2}

Answer

{-1}

Question 17

$$64\ ·\ 8^{-2p}=\frac{1}{64}$$

Accepted Answer

{2}

Answer

{-6}

Answer

No solution.

Answer

{0}

Question 18

$$9^{3x+2} · 9^{3x-2}$$ = $$243^{2x}$$

Accepted Answer

{0}

Answer

{-1/6}

Answer

{-1/2}

Answer

{8}

Question 19

Solve. $$\sqrt{3}$$ = $$27^{x+4}$$

Accepted Answer

$$-\frac{23}{6}$$

Answer

$$-\frac{13}{3}$$

Answer

$$\frac{3}{13}$$

Answer

$$-\frac{6}{23}$$

Question 20

Solve. $$\sqrt{6^{\left(x-3\right)}}=216^{x-3}$$

Accepted Answer

3

Answer

51/5

Answer

-3

Answer

-51/5

Question 21

Solve. $$\sqrt[3]{100^{\left(x+5\right)}}=10^{\left(x-2\right)}$$

Accepted Answer

16

Answer

1/4

Answer

-16

Answer

59/40

Question 22

Eduardo invests $8,236 in a retirement account with a fixed annual interest rate of 2% compounded 4 times per year. What will the account balance be after 19 years?

Accepted Answer

$12,031.98

Answer

$12,521.76

Answer

$12,274.43

Answer

$12,774.08

Question 23

Jacob invests $4,915 in a retirement account with a fixed annual interest rate of 3% compounded 3 times per year. What will the account balance be after 16 years?

Accepted Answer

$7,924.09

Answer

$7,320.18

Answer

$7,504.71

Answer

$7,693.89

Question 24

Jack invests $2,477 in a retirement account with a fixed annual interest rate of 5% compounded 3 times per year. What will the account balance be after 17 years?

Accepted Answer

$5,754.85

Answer

$6,976.76

Answer

$6,354.85

Answer

$6,047.41

Question 25

A company promises to release a new smartphone model every month. Each model's battery life will be 3.1% longer than the previous model's. If the current model's battery life is 729.0 minutes, what will the latest model's battery life be 18 months from now?

Accepted Answer

1,262.9 minutes

Answer

1,806.6 minutes

Answer

5,977.5 minutes

Answer

323.4 minutes

Question 26

A philanthropist pledges to donate 14.2% of a fund each year. If the fund initially has $642,000.00, how much will the fund have after 17 years?

Accepted Answer

$47,513.71

Answer

$190,054.83

Answer

$2,193.09

Answer

$142,541.12

Question 27

For tax purposes, a car rental company assumes each car in their fleet depreciates by 5.6% per year. If the initial value of a car is $33,300.00, what will the value be when the car is 5 years old?

Accepted Answer

$24,963.43

Answer

$26,551.61

Answer

$18,386.92

Answer

$30,254.45

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics