(02.01) Solve for x: 2 over 3 (x − 4) = 2x. (1 point)

2
−2
−8
−4
2.
(01.01)
Evaluate 32 + (5 − 2) ⋅ 4 − 6 over 3 . (1 point)

19
16
46
24
3.
(03.05)
A student needs to make a square cardboard piece. The cardboard should have a perimeter equal to at least 92 inches. The function f(s) relates the perimeter of a cardboard piece, in inches, to the length of its side in inches. Which of the following shows a reasonable domain for f(s)? (1 point)

23 < s < 46
23 < s < 92
s ≥ 92
s ≥ 23
4.
(02.07)
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:

F = 9 over 5 C + 32

Which of the following formulas correctly solves for C? (1 point)

C = 5F − 32 over 9
C = 5 F over 9 − 32
C = 9 over 5 (F − 32)
C = 5 over 9 (F − 32)
5.
(04.06)
A sequence has its first term equal to 3, and each term of the sequence is obtained by adding 5 to the previous term. If f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence? (1 point)

f(1) = 3 and f(n) = f(n − 1) + 5; n > 1
f(1) = 5 and f(n) = f(n − 1) + 3; n > 1
f(1) = 3 and f(n) = f(n − 1) + 5n; n > 1
f(1) = 5 and f(n) = f(n − 1) + 3n; n > 1
6.
(05.03)
Which of the following statements best describes the graph of 4x − y = 1? (1 point)

It is a straight line joining the points (0, −1), (1, 3), and (−1, −5).
It is a straight line joining the points (4, −3), (−1, 2), and (−4, 5).
It is a curve joining the points (4, −1), (2, 3), and (4, 1).
It is a curve joining the points (0, −1), (−1, −3), and (1, 5).
7.
(02.05)
Abbey wants to use her savings of $1,325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35 and a monthly fee of $50. What is the maximum number of months for which Abbey can learn yoga with her savings? (1 point)

24
25
26
27
8.
(05.03)
The tables below show the values of f(x) and g(x) for different values of x:

f(x) = 2(3)x
x f(x)
−2 0.22
−1 0.67
0 2
1 6
2 18

g(x) = 3x + 1
x g(x)
−2 1.11
−1 1.33
0 2
1 4
2 10

Based on the tables, what is the solution to the equation 2(3)x = 3x + 1? (1 point)

x = −1
x = 0
x = 1
x = 2
9.
(02.02)
The sum of two consecutive even integers is 226. What is the larger integer? (1 point)

114
116
112
118
10.
(04.01)
Which of the following best defines 2 to the power of 2 over 3 ? (1 point)

Cube root of 4
Square root of 4
Cube root of 2
Square root of 2
11.
(04.07)
The functions f(x) and g(x) are shown below:

f(x) = 2x
g(x) = 2x

Which statement best describes the graph of f(x) and g(x)? (1 point)

The graph of f(x) will eventually exceed the graph of g(x).
The graph of g(x) will eventually exceed the graph of f(x).
The graphs will both have their y-intercept equal to 1.
The graphs will both have their y-intercept equal to 2.
12.
(02.06)
A company did a quality check on all the packs of nuts it manufactured. Each pack of nuts is targeted to weigh 18.25 oz. A pack must weigh within 0.36 oz of the target weight to be accepted. What is the range of rejected masses, x, for the manufactured nuts? (1 point)

x < 17.89 or x > 18.61 because |x − 18.25| > 0.36
x < 17.89 or x > 18.61 because |x − 0.36| + 18.25 > 0
x < 18.25 or x > 18.61 because |x − 18.25| > 0.36
x < 18.25 or x > 18.61 because |x − 0.36| + 18.25 > 0
13.
(04.03)
The number of users of the internet in a town increased by a factor of 1.01 every year from 2000 to 2010. The function below shows the number of internet users f(x) after x years from the year 2000:

f(x) = 3000(1.01)x

Which of the following is a reasonable domain for the function? (1 point)

0 ≤ x ≤ 10
2000 ≤ x ≤ 2010
0 ≤ x ≤ 3000
All positive integers
14.
(01.02)
Simplify the following expression: (1 point)

2x − 6y + 3x2 + 7y − 14x.

3x2 + 12x + y
3x2 − 12x − y
3x2 − 12x + y
3x2 − 12x − 13y
15.
(04.05)
Henry is taking a medicine for a common cold. The table below shows the amount of medicine f(t), in mg, that was present in Henry's body after time t:

t (hours) 1 2 3 4 5
f(t) (mg) 282 265.08 249.18 234.22 220.17

Greg was administered 300 mg of the same medicine. The amount of medicine in his body f(t) after time t is shown by the equation below:

f(t) = 300(0.88)t