AnswersFL-1200375-Algebra 1-A CR Semester 2Unit Test

Unit Test — Cumulative exam Answers

44 verified answers
21
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The data in the table represent the height of an object over time.

Question illustration
A
quadratic, because the height of the object increases or decreases with a multiplicative rate of change
B
quadratic, because the height increases and then decreases
C
exponential, because the height of the object increases or decreases with a multiplicative rate of change
D
exponential, because the height increases and then decreases
22
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Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.Dance World: y = 15xToe Tappers: y = 25 + 12.5xHow many classes would Gina need to take for the total cost to be the same at both dance studios?

A
10
B
15
C
100
D
150
23

How many intersections are there of the graphs of the equations below?x + 5y = 63x + 30y = 36

Question illustration
A
none
B
one
C
two
D
infinitely many
24

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
25

Which system of linear inequalities has the point (2, 1) in its solution set?

A
y less-than negative x + 3. y less-than-or-equal-to one-half x + 3
Option A
B
y less-than negative one-half x + 3. y less-than one-half x.
Option B
C
Option
Option C
D
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2
Option D
26

The soccer team is conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10. So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?

A
x + y < 200
B
x + y > 200
C
14x + 10y > 200
D
14x + 10y < 200
27

At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.2x + 3y = 1240 x = 2y – 10How many of each type of ticket were sold?

A
180 food tickets and 293 ride tickets
B
180 food tickets and 350 ride tickets
C
293 food tickets and 180 ride tickets
D
350 food tickets and 180 ride tickets
28

Luis is saving money to purchase a new video game. He has a total of 30 coins consisting of nickels and dimes. The value of the coins is $2.20. Let n represent the number of nickels and let d represent the number of dimes. Which system of equations can be used to determine the number of nickels and the number of dimes Luis has?

A
A system of equations. n plus d equals 2.20. 10 n plus 5 d equals 30.
Option A
B
A system of equations. n plus d equals 2.20. 10 n plus 5 d equals 30.
Option B
C
A system of equations. n plus d equals 2.20. 0.5 n plus 0.1 d equals 30.
Option C
D
A system of equations. n plus d equals 30. 0.5 n plus 0.1 d equals 2.20.
Option D
29

What is the solution (a, c) to this system of linear equations?2a – 3c = –6 a + 2c = 11

A
(negative StartFraction 76 over 7 EndFraction, StartFraction 17 over 7 EndFraction)
Option A
B
(3, –4)
C
(3, 4)
D
(StartFraction 87 over 7 EndFraction, negative StartFraction 5 over 7 EndFraction)
Option D
30

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

A
Option
B
Option
C
Option
D
Option
31

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
32

A new coffee shop can hold no more than 50 seats. The owner wants at least 20 of the seats to be stools and the remaining seats to be recliners. If x is the number of stools and y is the number of recliners, which graph represents the solution to the system of inequalities? x + y ≤ 50x ≥ 20

A
Option
B
Option
C
Option
D
Option
33

How many solutions does this linear system have?y = x+ 2 6x – 4y = –10

Question illustration
A
one solution: (–0.6, –1.6)
B
one solution: (–0.6, 1.6)
C
no solution
D
infinite number of solutions
34

The graphs of y = 3x and y = 3x are shown below. In general, how does the growth of y = 3x compare to the growth of y = 3x?

Question illustration
A
The function y = 3x is growing slower than y = 3x.
B
The function y = 3x is growing faster than y = 3x.
C
The functions y = 3x and y = 3x are growing at the same rate.
D
The function y = 3x is growing slower than y = 3x.
35

A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. Points and a line show an upward trend.

Question illustration
A
–0.872
B
–0.191
C
0.191
D
0.872
36

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
37

The table shows the side length and approximate area of an octagonal stop sign.Area of a Stop Sign

Question illustration
A
f(x) = 4.8x2
B
f(x) = 4x2
C
f(x) = (4.8)x
D
f(x) = (4)x
38

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.
39

What are the steps to solving the inequality < –2?

Question illustration
A
Subtract 2 from both sides of the inequality. Multiply both sides of the inequality by –3.
B
Subtract 2 from both sides of the inequality. Change the direction of the inequality. Multiply both sides of the inequality by –3.
C
Multiply both sides of the inequality by –3. Subtract 2 from both sides of the inequality.
D
Multiply both sides of the inequality by –3. Change the direction of the inequality. Subtract 2 from both sides of the inequality.
40

Which best describes the solution set for the compound inequality below?2(x + 7) – 1 > 15 or 3(x + 2) < 2x + 7

A
no solution
B
x = 1
C
all real numbers except x = 1
D
all real numbers

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