11.
(04.03 LC)
Find an equivalent function to f(x) = 5(3)3x. (5 points)
f(x) = 125x(27)x
f(x) = 152x
f(x) = 5(27)x
f(x) = 135x
12.
(01.05 LC)
The weights of four packets of sugar are shown below:
Packet A: 4.42 pounds
Packet B: 4.34 pounds
Packet C: 4.44 pounds
Packet D: 4.39 pounds
Sue has a scale that measures to the nearest tenth of a pound. If Sue weighs each packet on her scale, the lightest reading will be
pounds. (5 points)
13.
(04.01 LC)
What is 2 to the power of 4 over 3 equal to? (5 points)
cube root of 8
square root of 8
cube root of 16
square root of 16
14.
(02.07 LC)
Which equation is not equivalent to the formula r = st? (5 points)
s equals r over t
t equals r over s
s equals t over r
r = ts
15.
(03.03, 03.06 MC)
What is the equation of the line that passes through the points (−1, 3) and (1, 11)? (5 points)
4x − y = 1
4x + y = 1
x − 4y = −13
4x − y = −7
16.
(02.05 LC)
Solve for x: x − 2 > 2x + 12. (5 points)
x > 14
x < 14
x > −14
x < −14
17.
(04.07 MC)
Jane bought a car for $30,303. The value of the car depreciated at a constant rate per year. The table below shows the value of the car after the first and second years:
Year 1 2
Value (in dollars) 25,757.55 21,893.92
Which function best represents the value of the car after t years? (5 points)
f(t) = 25,757.55(0.85)t
f(t) = 30,303(0.85)t
f(t) = 30,303 (0.15)t
f(t) = 25,757.55 (0.15)t
18.
(04.01 LC)
Simplify cube root of 7 over fifth root of 7 . (5 points)
7 to the power of 1 over 5
7 to the power of 8 over 15
7 to the power of 5 over 3
7 to the power of 2 over 15
19.
(02.06 MC)
Which graph represents the solutions to the inequality |2x − 6| less than or equal to 10? (5 points)
number line with a closed circle on negative 2, shading to the right and a closed circle on 8, shading to the left
number line with a closed circle on negative 2, shading to the left and a closed circle on 8, shading to the right
number line with an open circle on negative 2, shading to the right and an open circle on 8, shading to the left
number line with an open circle on negative 2, shading to the left and an open circle on 8, shading to the right
20.
(02.01 MC)
Vivian combined different amounts of white paint, blue paint, and green paint to make 145 milliliters (ml) of paint of a new shade. The amount of white paint was x ml. The amount of blue paint was 10 ml less than twice the amount of white paint, and the amount of green paint was half the amount of blue paint. This is represented in the equation below:
x + (2x − 10) + one half (2x − 10) = 145
What was the difference in the amounts of white paint and blue paint Vivian combined? (5 points)
30 ml
35 ml
40 ml
45 ml
21.
(03.06 MC)
Max is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 5 km/h. After two hours, the velocity of the runner is 3 km/h.
Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the runner at different times. Show your work and define the variables used. (5 points)
Part B: How can you graph the equation obtained in Part A for the first 4 hours? (5 points)
(10 points)
