1.
(04.01 lc)
the side of a square is two raised to the seven halves power inches. using the area formula a = s2, determine the area of the square. (5 points)

a = 196 square inches

a = 128 square inches

a = 49 square inches

a = 4 square inches
2.
(04.01 lc)
evaluate cube root of 7 multiplied by the square root of 7 over sixth root of 7 to the power of 5 . (5 points)

7−1

1

7

7 to the power of 5 over 3
3.
(04.02 mc)
what is the exact value for the expression the square root of 189. − the square root of 21. + the square root of 84. ? simplify if possible. (5 points)

the square root of 21.

6 the square root of 7.

4 the square root of 21.

24 the square root of 7.
4.
(04.02 mc)
what is the product of three square root of eight times four square root of three ? simplify your answer. (5 points)

twenty four square root six

twelve square root twelve

twelve square root eleven

seventy two square root four
5.
(04.03 lc)
which of the following is a function equivalent to f(x) = 3(1.7)4x? (5 points)

f(x) = 25.06x

f(x) = 3(8.35)x

f(x) = 3(8.25x)

f(x) = 487.97x
6.
(04.03 mc)
find the average rate of change from x = 7 to x = 14 for the function f(x) = 0.01(2)x and select the correct answer below. (5 points)

23.22

35.84

128

163.84
7.
(04.05 mc)
the following table shows the expressions that represent the sales of 4 companies:

company a b c d
sales 110(0.70)x 140(1.07)x 430(1.90)x 310(1.14)x

rank the company sales by smallest to largest percent of increase and select the correct answer below. (5 points)

a, b, c, d

a, b, d, c

d, c, b, a

d, c, a, b
8.
(04.05 lc)
greg made pudding every weekend. the more times he made pudding, the more practice he gained. the time he took to make the same amount of pudding every week decreased with practice. the function below shows the number of hours f(x) greg took to make pudding after he had made it x times:

f(x) = 2(0.8)x

which graph best represents the function? (5 points)

graph of function f of x equals 0.8 multiplied by 2 to the power of x

graph of function f of x equals 0.8 to the power of x

graph of function f of x equals 2 to the power of x

function of f of x equal 2 multiplied by 0.8 to the power of x
9.
(04.05 lc)
wendy initially has 6 hours of pop music and 3 hours of classical music in her collection. every month onwards, the hours of pop music in her collection is 9% more than what she had the previous month. her classical music does not change. which function shows the total hours of music she will have in her collection after x months? (5 points)

f(x) = 6(1.09)x + 3

f(x) = 3(1.09)x + 6

f(x) = 6(0.09)x + 3

f(x) = 3(0.09)x+ 6
10.
(04.05 lc)
when the function f(x) = 6(9)x is changed to f(x) = 6(9)x + 1, what is the effect? (5 points)

there is no change to the graph because the exponential portion of the function remains the same.

all input values are moved 1 space to the right.

the x-intercept is 1 space higher.

the y-intercept is 1 space higher.
11.
(04.06 lc)
the first four terms of a sequence are shown below:

8, 5, 2, −1

which of the following functions best defines this sequence? (5 points)

f(1) = 8, f(n + 1) = f(n) + 3; for n ≥ 1

f(1) = 8, f(n + 1) = f(n) − 5; for n ≥ 1

f(1) = 8, f(n + 1) = f(n) + 5; for n ≥ 1

f(1) = 8, f(n + 1) = f(n) − 3; for n ≥ 1
12.
(04.06 lc)
identify the type of sequence shown in the table below and select the appropriate response. (5 points)

n f(n)
1 48
2 −96
3 192
4 −384
5 768

arithmetic sequence; common difference is 96

arithmetic sequence; common difference is −144

geometric sequence; common ratio is 3

geometric sequence; common ratio is −2
13.
(04.06 mc)
larry is using an online calculator to calculate the outputs f(n) for different inputs n. the ordered pairs below show larry's inputs and the corresponding outputs displayed by the calculator:

(1, 5), (2, 9), (3, 13), (4, 17)

which of the following functions best represents the rule that the calculator uses to display the outputs? (5 points)

f(n) = 5n − 1

f(n) = 5n + 1

f(n) = 4n + 1

f(n) = 4n − 1
14.
(04.07 mc)
which exponential function goes through the points (1, 16) and (4, 128)? (5 points)

f(x) = 4(4)x

f(x) = 8(2)x

f(x) = 8(2)−x

f(x) = 4(4)−x