AnswersAlgebra ICumulative Exam

Cumulative Exam — Cumulative exam Answers

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Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?

A
Option
B
Option
C
Option
D
Option
22
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Marlena created a table of values representing the height in feet, h(t), of a coconut falling to the hard ground with a height of 0 feet, collected over t seconds. Assume the coconut does not bounce and rests on the ground when it lands.

Question illustration
A
The initial height of the coconut is 190 feet.
B
The coconut will hit the ground between 4 and 5 seconds after it was dropped.
C
The values of h(t) when t = 4 and 5 should be 0.
D
The maximum height of the coconut was 1 second after it was dropped.
23

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
24

When a number is added to of itself, the result is 24. The equation that models this problem is n + n = 24. What is the value n?

Question illustration
A
n = 18
B
n = 20
C
n = 21
Option C
D
n = 23
Option D
25

Which graph shows the solution to the system of linear inequalities?2x – 3y <12y < –3

A
Option
B
Option
C
Option
D
Option
26

The tables represent the functions f(x) and g(x).

Question illustration
A
x = –12
B
x = –9
C
x = –6
D
x = –3
27

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
28

The graph of y = is a horizontal translation of y = . Which is the graph of y = ?

Question illustration
A
On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (2.5, 0), and goes through (10, 2).
Option A
B
On a coordinate plane, a cube root function goes through (negative 10, negative 2), has an inflection point at (negative 3, 0), and goes through (4, 2).
Option B
C
On a coordinate plane, a cube root function goes through (negative 10, 1), has an inflection point at (0, 3), and goes through (8, 5).
Option C
D
On a coordinate plane, a cube root function goes through (negative 8, negative 5), has an inflectoin point at (0, negative 3), and goes through (8, negative 1).
Option D
29

Which is the graph of linear inequality x – 2y ≥ –12?

A
Option
B
Option
C
Option
D
Option
30

What is the value of x in the equation (x + 12) = (x + 14) – 3?

Question illustration
A
–24
B
–6
C
negative StartFraction 2 Over 3 EndFraction.
Option C
D
0
31

What is the solution to –2(8x – 4) < 2x + 5?

A
x >
Option A
B
x <
Option B
C
x > 6
D
x < 6
32

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

A
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 100, negative 25, 40, 600. The second column is labeled money collected (y) with entries negative 500, negative 125, 250, 3000.
Option A
B
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 20, 20, 100, 109. The second column is labeled money collected (y) with entries negative 100, 100, 500, 545.
Option B
C
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 0, 10, 51, 400. The second column is labeled money collected (y) with entries 0, 50, 255, 2000.
Option C
D
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 5, 65, 80, 200. The second column is labeled money collected (y) with entries 25, 350, 400, 1000.
Option D
33

Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation can be used to find the length and width of the garden, where l is the length and w is the width of the garden. If Manny makes the garden 15 feet long, how wide should the garden be?

Question illustration
A
9 feet
B
18 feet
C
30 feet
D
33 feet
34

The function y = – 3 is graphed only over the domain of {x | –8 < x < 8}. What is the range of the graph?

Question illustration
A
{y | –5 < y < 5}
B
{y | –5 < y < –1}
C
{y | 1 < y < 5}
D
{y | 1 < y < –1}
35

This mapping shows a functional relationship.

Question illustration
A
0
B
2
C
3
D
4
36

What is the vertex of the graph of f(x) = |x – 13| + 11?

A
(–11, 13)
B
(–13, 11)
C
(11, 13)
D
(13, 11)
37

What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?1. The distributive property: 4x – 12 + 4 < 10 + 6x2. Combine like terms: 4x – 8 < 10 + 6x3. The addition property of inequality: 4x < 18 + 6x4. The subtraction property of inequality: –2x < 18 5. The division property of inequality: ________

A
x < –9
B
x > –9
C
x <
Option C
D
x > –
Option D
38

Which graph represents the function g(x) = |x + 4| + 2?

A
Option
B
Option
C
Option
D
Option
39

The graph represents the data cost for monthly Internet service for a cell phone.

Question illustration
A
C(x) =
Option A
B
C(x) =
Option B
C
C(x) =
Option C
D
C(x) =
Option D
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

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