Rate of Change — Unit test Answers

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A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?

A
2
B
3
C
4
D
5
2
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Which equation can pair with x – y = –2 to create a consistent and dependent system?

A
6x + 2y = 15
B
–3x + 3y = 6
C
–8x – 3y = 2
D
4x – 4y = 6
3

The constraints of a problem are listed below. What are the vertices of the feasible region?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

Which ordered pair (c, d) is the solution to the given system of linear equations?

Question illustration
A
(–1, 6)
B
(–1, 7)
C
(6, –1)
D
(7, 10)
5

Which statement correctly explains how Andre could find the solution to the following system of linear equations using elimination?

Question illustration
A
Multiply the first equation by –7 and the second equation by 8, and then subtract.
B
Multiply the first equation by -7 and the second equation by 8, and then add.
C
Multiply the first equation by 2 and the second equation by 9, and then add.
D
Multiply the first equation by –2 and the second equation by 9, and then subtract.
6

A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a profit of $3.10 per sandwich. The roast beef special uses two slices of bread and three slices of cheese. The turkey special uses two slices of bread and four slices of cheese. The deli has 120 slices of bread and 160 slices of cheese available for the specials. The deli wants to maximize its profit selling specials. Let x represent the number of roast beef specials and y represent the number of turkey specials. What are the constraints for the problem?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Which statement describes the solution to the system of equations?

Question illustration
A
The system has exactly one solution.
B
The system has exactly two solutions.
C
The system has no solutions.
D
The system has infinitely many solutions.
8

What is the maximum value of P = 24x + 30y, given the constraints on x and y listed below?

Question illustration
A
120
B
132
C
138
D
150
9

A small organic food store makes two types of fruit smoothies: tropical and sport. Each tropical smoothie uses 9 oz of orange juice and 6 oz of milk. Each sport smoothie uses 3 oz of orange juice and 3 oz of milk. The store buys the orange juice in a 210-oz container and milk in a 150-oz container. The store sells the tropical smoothies for $4 and sells the sport smoothie for $3. What is the maximum in smoothie sales the store can make from 1 container each of orange juice and milk?

A
$100
B
$110
C
$150
D
$280
10

Which region represents the solution to the given system of inequalities?

Question illustration
A
A
B
B
C
C
D
D
11

Which ordered pair (a, b) is the solution to the following system of equations?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

Which graph shows the solution to the following system of inequalities?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins, Alan uses cup of oil and 2 eggs. For a tray of bran muffins, Alan uses cup of oil and 1 egg. Alan has 4 cups of oil and 12 eggs on hand. He sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. Alan wants to maximize the money raised at the bake sale. Let x represent the number of trays of blueberry muffins and y represent the number of trays of bran muffins Alan bakes. What are the constraints for the problem?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

Which ordered pair (p, r) is the solution to the given system of linear equations?

Question illustration
A
(–1, –2)
B
(–2, –1)
C
Option
Option C
D
Option
Option D
15

Ashur solves the following system of linear equations.Which statement is true about the solution to this system of equations?

Question illustration
A
The values of a and b are both equal to –4.
B
The values of a and b are both equal to 4.
C
The value of a is equal to 4, and b is equal to –4.
D
The value of a is equal to –4, and b is equal to 4.
16

The vertices of a feasible region are (14, 2), (0, 9), (6, 8), and (10, 3). What is the maximum value of the objective function P if P = 180x + 250y?

A
2,940
B
3,020
C
3,080
D
3,250
17

Which equation can pair with 3x + 4y = 8 to create a consistent and independent system?

A
6x + 8y = 16
B
–3x – 4y = –6
C
6x – 3y = 2
D
–3x – 4y = –8
18

The solution to the given system of linear equations lies in which quadrant?

Question illustration
A
I
B
II
C
III
D
IV
19

Which system of inequalities has a solution set that is a line?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
20

Tao uses elimination to solve the following system of linear equations.Which ordered pair is the solution to the system?

Question illustration
A
(0, 4)
B
(0, 8)
C
(4, 0)
D
(8, 0)

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