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Cumulative Exam — Cumulative exam Answers

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22
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A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries three-fourths, three-halves, 3, 6, 12.

Question illustration
A
f(x) = 3(2x)
B
f(x) = 2(2x)
C
f(x) = 3(3x)
D
f(x) = 2(3x)
23
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The tables represent the functions f(x) and g(x).

Question illustration
A
x = –12
B
x = –9
C
x = –6
D
x = –3
24

Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. His hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below.3x + 2y = 36.502x + 5y = 50.00

A
Percy earns a greater hourly wage of $7.00 at the library.
B
Percy earns a greater hourly wage of $7.00 at the coffee cart.
C
Percy earns a greater hourly wage of $7.50 at the library.
D
Percy earns a greater hourly wage of $7.50 at the coffee cart.
25

Yesterday, Selma read 75 pages of her book. If she reads at a pace of 2 pages per minute today, which table shows only viable solutions for the total number of pages she has read, y, after x minutes have elapsed?

A
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 2, 14, 39, 55. The second column is labeled total pages read (y) with entries 79, 101, 153, 185.
Option A
B
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries negative 16, 6, 27, 52. The second column is labeled total pages read (y) with entries 43, 87, 129, 179.
Option B
C
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 19, 32, 47. The second column is labeled total pages read (y) with entries 0, 113, 139, 169.
Option C
D
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 11, 20.25, 58. The second column is labeled total pages read (y) with entries 75, 97, 115.5, 191.
Option D
26

A sequence is defined by the recursive function f(n + 1) = f(n). If f(3) = 9 , what is f(1) ?

Question illustration
A
1
B
3
C
27
D
81
27

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees.

Question illustration
A
The rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees.
B
The rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees.
C
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees.
D
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.
28

A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

Question illustration
A
zero
B
undefined
C
negative
D
positive
29

The table represents a function.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
30

On a coordinate plane, 5 points are plotted. The points are (1, 1,296), (2, 1,080), (3, 900), (4, 750), (5, 625).

Question illustration
A
f(x + 1) = f(x)
Option A
B
f(x + 1) = f(x)
Option B
C
f(x + 1) =
Option C
D
f(x + 1) =
Option D
31

The potential energy, P, in a spring is represented using the formula P = kx2. Lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework.

Question illustration
A
k = 2Px2
B
k = Px2
Option B
C
k =
Option C
D
k =
Option D
32

Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation , where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have?

Question illustration
A
35
B
42
C
63
D
105
33

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.

A
$60
B
$80
C
$90
D
$100
34

A recipe calls for cup of broth. The largest volume-measuring tool that Tabitha has is a teaspoon. She knows that there are 16 tablespoons in 1 cup and 3 teaspoons in 1 tablespoon. How many teaspoons of broth should she use?

Question illustration
A
teaspoons
Option A
B
12 teaspoons
C
19 teaspoons
D
teaspoons
Option D
35

What are the domain and range of the function f(x) = 4?

Question illustration
A
{x| x is a real number}; {y| y > 0}
B
{x| x > 4}; {y| y > 0}
C
{x| x is a real number}; {y| y > 4}
D
{x| x > 4}; {y| y > 4}
36

The table shows how an elevator 500 feet above the ground is descending at a steady rate.

Question illustration
A
h(t) = 5t + 500
B
h(t) = 5t – 500
C
h(t) = –5t + 500
D
h(t) = –5t – 500
37

Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information.Which equation can Jeremy use to determine the amount of raisins in the trail mix?

Question illustration
A
r + 1.50 = 1.5r
B
r + (5 – r) = 5
C
1.5r + 2.5(5 – r) = 10.50
D
1.5r + 2.5(5 – r) = 5
38

64, –48, 36, –27, ...

A
f(x + 1) = f(x)
Option A
B
f(x + 1) = f(x)
Option B
C
f(x) = f(x + 1)
Option C
D
f(x) = f(x + 1)
Option D
39

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

A
f(x) = 6x – 1
B
f(x) = 8x – 6
C
f(x) = 4x – 14
D
f(x) = 4x – 10
40

The graph represents the function where electricity usage in kilowatts per hour of a clock radio varies directly with the number of days it is plugged into the wall current.

Question illustration
A
0.25 kWh per day
B
0.50 kWh per day
C
2.40 kWh per day
D
4.00 kWh per day
41

On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0).

Question illustration
A
all real numbers
B
all real numbers greater than or equal to –2
C
all real numbers greater than or equal to –5
D
all real numbers greater than or equal to 0

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