EZPONENTS AND EXPONENTIAL FUNCTIONS REVIEW WORKSHEET

Problem 1 :

The function f(x) = 2(2)x was replaced with f(x) + k , resulting in the function graphed below.

expo-fun-q1

What is the value of k?

Solution

Problem 2 :

Monica did an experiment to compare two methods of warming an object. The results are shown in the table below.

expo-table-q1

Which statements best describes her results?

A. The temperature using both methods changed at a constant rate.

B. The temperature using both methods changed exponentially.

C. The temperature using Method 2 changed at a constant rate.

D. The temperature using Method 2 changed exponentially.

Solution

Problem 3 :

The value of an antique car is modeled by the function V(x) = 107,000(1.009)(2/3x) where x is the number of years since 2005. By what approximate percent rate is the value of the car increasing per year?

A. 0.04%         B. 0.14%          C. 0.60%        D. 1.40%

Solution

Problem 4 :

Which expression is equivalent to x13-3? A. xB. 1xC.1x9D. 1x27

Solution

Problem 5 :

Which expression is equivalent to 16x16y-2x-16y632?
A. 24x92y92B. 24x34y9C. 64x12y8D.64x12y12

Solution

Problem 6 :

The value V, of a car can be modeled by the function V(t) = 13,000 (0.82)t, where t is the number of years since the car was purchased. To the nearest tenth of a percent, what is the monthly rate of depreciation?

A. 1.5%    B. 1.6%     C. 9.2%     D. 18.0%

Solution

Problem 7 :

The current student population of the Brentwood Student Center is 2,000. The enrollment at the center increases at a rate of 4% each year. To the nearest whole number, what will the student population be closest to in 3 years?

(1) 2,240          (2) 2,250       (3) 5,488         (4) 6,240

Solution

Problem 8 :

Mr. Smith invested $2,500 in a savings savings account that earns 3% interest compounded annually. He made no additional deposits or withdrawals. Which expression can be used to determine the number of dollars in this account at the end of 4 years?

(1) 2500(1 + 0.03)4             (2) 2500(1 + 0.3)4

(3) 2500(1 + 0.04)3            (4) 2500(1 + 0.4)3

Solution

Problem 9 :

Which expression is equivalent to38x2y3z4?
A. 2x32yz34B. 2x23yz43C. 2zxD. 2xz

Solution

Problem 10 :

The table below shows the average weight of a type of plankton after several weeks.

expo-fun-q10

What is the average rate of change in weight of the plankton from week 8 to week 12?

A. 0.0265 ounce per week   B. 0.0375 ounce per week

C. 0.055 ounce per week      D. 0.1125 ounce per week

Solution

Problem 11 :

Trina has a college fund started with a  deposit of $10,000 which earns 5% annually. If no other monies are deposited, how much money will Trina have in her fund at the end of three years?

(1) $11,500       (2) $11,576.25           (3) $15,000

(4) $25,000

Solution

Answer Key

1)  k = -5

2)  D. The temperature using Method 2 changed exponentially.

3)  C. 0.60%

4) 1/x

5)  64x1/2/y12

6)  r = 18%

7)  P = 2250

8)  y=2500(1+0.03)4

9)  2x2/3yz4/3

10)  m = 0.1125

11) y = 11576.25

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