AnswersAcademy - Algebra Functions and Data AnalysisCumulative Exam

Cumulative Exam Answers

44 verified answers
21
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Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.

Question illustration
A
The axis of symmetry should be x = –1.
B
The axis of symmetry should be x = 2.
C
The vertex should be a maximum.
D
The vertex should be (–2, 1).
22
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The perimeter of a rectangular pool is more than 62 meters, and the width is at least 10 meters less than the length. Which system of inequalities represents the possible length in meters, l, and the possible width in meters, w, of the pool?

A
w ≤ 10 – l2l + 2w ≥ 62
B
w ≤ 10 – l2l + 2w > 62
C
w ≤ l – 102l + 2w ≥ 62
D
w ≤ l – 102l + 2w > 62
23

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.
24

Which is the graph of y – 3 = (x + 6)?

Question illustration
A
Option
B
Option
C
Option
D
Option
25

Tiffany sells two kinds of homemade tomato sauce. A quart of her Tuscan sauce requires 6 tomatoes and 1 cup of oil. A quart of her marinara sauce requires 5 tomatoes and cups of oil. She makes $4 profit on each quart of her Tuscan sauce and $5 profit on each quart of her marinara sauce. She has 45 tomatoes and 10 cups of oil on hand. Tiffany wants to maximize her profits from selling the sauce.Let x represent the number of quarts of Tuscan sauce and y represent the number of quarts of marinara sauce Tiffany makes. What are the constraints for the problem?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-4.jpg
Option B
C
mc019-6.jpg
Option C
D
mc019-8.jpg
Option D
26

The graph of which function has an axis of symmetry at x = ?

Question illustration
A
f(x) = 2x2 + x – 1
B
f(x) = 2x2 – x + 1
C
f(x) = x2 + 2x – 1
D
f(x) = x2 – 2x + 1
27

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Select three options.Ava’s graph is a vertical translation of f(x) = x2.Victor’s graph is a vertical translation of f(x) = x2.Ava’s graph moved 4 units from f(x) = x2 in a positive direction.Victor’s graph moved 4 units from f(x) = x2 in a positive direction.Ava’s graph has a y-intercept of 4.

A
Ava’s graph is a vertical translation of f(x) = x2.
B
Victor’s graph is a vertical translation of f(x) = x2.
C
Ava’s graph moved 4 units from f(x) = x2 in a positive direction.
D
Victor’s graph moved 4 units from f(x) = x2 in a positive direction.
E
Ava’s graph has a y-intercept of 4.
28

Ray was in charge of filling the soccer team’s water jug for practice. At the beginning of practice he filled the jug. Halfway through practice the team took a water break. After the break Ray refilled the jug so the players could have water after practice. At the end of practice Ray drained the jug. Which graph could represent the level of the water in the jug during and after practice?

A
Option
B
Option
C
Option
D
Option
29

A 2-column table with 8 rows. The first column is labeled t with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 54, negative 20, negative 4, 0, negative 2, negative 4, 0, 16.

Question illustration
A
(–4, 1)
B
(–4, –1)
C
(–1,1)
D
(–1, 2)
30

Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

A
The graph moves up 18 units.
B
The graph moves down 18 units.
C
The graph moves left 18 units.
D
The graph moves right 18 units.
31

Which sequences are arithmetic? Select three options.–8.6, –5.0, –1.4, 2.2, 5.8, …2, –2.2, 2.42, –2.662, 2.9282, …5, 1, –3, –7, –11, …–3, 3, 9, 15, 21, …–6.2, –3.1, –1.55, –0.775, –0.3875, …

A
–8.6, –5.0, –1.4, 2.2, 5.8, …
B
2, –2.2, 2.42, –2.662, 2.9282, …
C
5, 1, –3, –7, –11, …
D
–3, 3, 9, 15, 21, …
E
–6.2, –3.1, –1.55, –0.775, –0.3875, …
32

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?

A
(16, positive infinity)
Option A
B
(Negative 16, positive infinity)
Option B
C
(Negative infinity, 16)
Option C
D
(Negative infinity, Negative 16)
Option D
33

At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18. On Saturday, 23 baskets were sold and $430 collected. If x represents the number of baskets of strawberries and y represents the number of baskets of peaches, how many baskets of peaches were sold on Saturday?

Question illustration
A
8 baskets of peaches
B
11 baskets of peaches
C
12 baskets of peaches
D
15 baskets of peaches
34

What is the midpoint of the x-intercepts off(x) = (x – 4)(x + 4)?

A
(0,0)
B
(0,4)
C
(–4,0)
D
(2,0)
35

Which is the graph of f(x) = (x + 3)(x – 2)?

A
Option
B
Option
C
Option
D
Option
36

Myra uses an inverse variation function to model the data for the ordered pairs below.(2, 30), (3, 20), (4, 15), (5, 12), (6, 10)Which statement best explains whether an inverse variation function is the best model for the data?

A
An inverse function is the best model because as x increases, y decreases.
B
An inverse function is the best model because the products of corresponding x- and y-values are equal.
C
An inverse variation function is not the best model because data points approximate a straight line.
D
An inverse variation function is not the best model because the data points show an exponential decay.
37

Which statement correctly explains how Dana can solve the following system of linear equations for x using the elimination method?

Question illustration
A
Add the two equations, solve for y, and then substitute –1 for y to find x.
B
Multiply the bottom equation by –4, solve for y, and then substitute –1 for y to find x.
C
Multiply the bottom equation by –1, subtract the two equations, solve for y, and then substitute 1 for y to find x.
D
Multiply the two equations, solve for y, and then substitute 1 for y to find x.
38

Luis solves the following system of equations by elimination.What is the value of s in the solution of the system?

Question illustration
A
mc002-2.jpg
Option A
B
mc002-3.jpg
Option B
C
11
D
33
39

Which statement describes the system of equations?

Question illustration
A
It has one solution (–5, 5).
B
It has one solution (5, –5).
C
The system has no solution.
D
The system has infinitely many solutions.
40

The graph of which function has a minimum located at (4, –3)?

A
f(x) = x2 + 4x – 11
Option A
B
f(x) = –2x2 + 16x – 35
C
f(x) = x2 – 4x + 5
Option C
D
f(x) = 2x2 – 16x + 35

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