1

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What is the solution to the system of equations?

A

(11, 1)

B

(1, 11)

C

(–1, 11)

D

(11, –1)

2

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Review the graph.

A

x2 + y2 > 9 and y < –x2 + 2

B

x2 + y2 < 9 and y < –x2 + 2

C

x2 + y2 > 9 and x < –y2 + 2

D

x2 + y2 < 9 and x < –y2 + 2

3

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

4

Which point is a solution of x2 + y2 > 49 and y ≤ –x2 – 4?

A

(–8, –1)

B

(–3, 1)

C

(1, –9)

D

(0, –6)

5

A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a certain day, total admission fees were $900, and 350 people attended the fair. How many children attended the fair that day?

A

80 children

B

150 children

C

200 children

D

320 children

6

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

A

mc008-2.jpg

B

mc008-3.jpg

C

mc008-4.jpg

D

mc008-5.jpg

7

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

mc023-1.jpg

B

mc023-3.jpg

C

mc023-5.jpg

D

mc023-7.jpg

8

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

9

Which statement describes the system of equations?

A

It has one solution (4, –4).

B

It has one solution (8, –9).

C

The system has no solution.

D

The system has infinitely solutions.

10

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

11

Which graph represents the solution of y ≤ x2 + 1 and x > y2 – 5?

A

On a coordinate plane, a parabola opens up and goes through (negative 2, 6), has vertex (0, 1) and goes through (2, 6). Another parabola opens to the right and goes through (4, 3), has vertex (negative 5, 0), and goes through (4, negative 3). Everything outside of the first parabola and inside of the second parabola is shaded.

B

On a coordinate plane, a parabola opens up and goes through (negative 2, 6), has vertex (0, 1) and goes through (2, 6). Another parabola opens to the right and goes through (4, 3), has vertex (negative 5, 0), and goes through (4, negative 3). Everything inside of both parabolas is shaded.

C

On a coordinate plane, a parabola opens up and goes through (negative 3, 4), has vertex (0, negative 5), and goes through (3, 4). Another parabola opens to the right and goes through (5, 2), has vertex (1, 0), and goes through (5, negative 2). Everything inside of both parabolas is shaded.

D

On a coordinate plane, a parabola opens up and goes through (negative 3, 4), has vertex (0, negative 5), and goes through (3, 4). Another parabola opens to the right and goes through (5, 2), has vertex (1, 0), and goes through (5, negative 2). Everything inside the first parabola and outside of the second parabola is shaded.

12

Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flowering plants sell for $5. How many pink flowering plants did Arianna buy?

A

6 pink flowering plants

B

7 pink flowering plants

C

8 pink flowering plants

D

9 pink flowering plants

13

A farm irrigation system waters a large field. Consider the center of the field as the origin and the rest of the field as a grid measured in yards. The first irrigation unit is located at the point (–400, –200) and waters 500 yards in every direction. The second is located at (200, 300) and waters 400 yards in every direction. The system of inequalities represents this scenario.

A

(100, 100)

B

(–100, 100)

C

(100, –100)

D

(–100, –100)

14

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

A

120

B

132

C

138

D

150

15

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

A

B

C

D

16

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

A

mc020-2.jpg

B

mc020-3.jpg

C

mc020-4.jpg

D

mc020-5.jpg

17

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

A

mc025-1.jpg

B

mc025-2.jpg

C

mc025-3.jpg

D

mc025-4.jpg

18

Which step is not necessary when solving this system of equations by graphing?

A

Identify the point of intersection.

B

Choose a method to graph the equations.

C

Determine the shaded area for each line.

D

Write the solution as an ordered pair.

19

Which graph represents the solution of y ≤ x2 – 1 and x > y2 – 3?

A

On a coordinate plane, a parabola opens to the right and goes through (6, 3), has vertex (negative 3, 0), and goes through (6, negative 3). Another parabola opens down and goes through (2, negative 5), has vertex (0, negative 1), and goes through (2, negative 5). Everything inside of the first parabola and outside of the second parabola is shaded.

B

On a coordinate plane, a parabola opens to the right and goes through (6, 3), has vertex (negative 3, 0), and goes through (6, negative 3). Another parabola opens down and goes through (2, negative 5), has vertex (0, negative 1), and goes through (2, negative 5). Everything inside of the first parabola and second parabola is shaded.

C

On a coordinate plane, a parabola opens to the right and goes through (6, 3), has vertex (negative 3, 0), and goes through (6, negative 3). Another parabola opens up and goes through (negative 2, 3), has vertex (0, negative 1), and goes through (2, 3). Everything inside of the first parabola and second parabola is shaded.

D

On a coordinate plane, a parabola opens to the right and goes through (6, 3), has vertex (negative 3, 0), and goes through (6, negative 3). Another parabola opens up and goes through (negative 2, 3), has vertex (0, negative 1), and goes through (2, 3). Everything inside of the first parabola and outside of the second parabola is shaded.

20

Which first step for solving the given system using substitution results in an equation without fractions?

A

Solve for x in the first equation.

B

Solve for y in the first equation.

C

Solve for x in the second equation.

D

Solve for y in the second equation.

Solving Linear Systems by Substitution — Cumulative exam Answers

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