Quiz about Systems of Equations and Inequalities

Question 1

Write the system of inequalities

Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing. Which is a possible solution?

Accepted Answer

300 adults and 0 children

Answer

200 adults and 1 children

Answer

100 adults and 100 children

Answer

300 adults and 100 children

Question 2

Which point is a solution?

Accepted Answer

(1, 0)

Answer

(0, 6)

Answer

(-3, 4)

Answer

(-4, 3)

Question 3

Which of the following is not a solution to this system of inequalities?

Accepted Answer

(0,-1)

Answer

(0,3)

Answer

(4,0)

Answer

(6,-2)

Question 4

Consider the function y<2x+3. Which is true?

Accepted Answer

The line would be dashed with shading below.

Answer

The line would be solid with shading above.

Answer

The line would be dashed with shading above.

Answer

The line would be solid with shading below.

Question 5

Is (-3, -2) a solution to this system?

Accepted Answer

Answer

Question 6

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

Accepted Answer

10c + 5d = 16.50
5c + 10d = 14.25

Answer

10c + 5d = 14.25
5c + 10d = 16.50

Answer

c + d = 10
5c + 10d = 16.50

Answer

c + d = 5
5c + 10d = 16.50

Question 7

What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7

Accepted Answer

1

Answer

-1

Answer

3

Answer

4

Question 8

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

Accepted Answer

4x+3y=134
3x+3y=120

Answer

x+y=134
x+y=120

Answer

3x+3y=134
4x+3y=120

Answer

7xy=134
6xy=120

Question 9

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

Accepted Answer

1.5x+0.5y=78.5
x+y=87

Answer

1.5x+0.5y=78.5
1.5x+0.5y=87

Answer

x+y=78.5
1.5x+0.5y=87

Answer

x+y=78.5
x+y=87

Question 10

What is the solution to this system of equations?
4x + y = 6
x - 2y = 6

Accepted Answer

(2,-2)

Answer

(1,2)

Answer

( 1/2 , 4 )

Answer

(-2,2)

Question 11

Find the solution:
y = x² - 4x + 6
y = x + 2

Accepted Answer

(1, 3) and (4, 6)

Answer

(3, 1) and (6, 4)

Answer

(-1, 1) and (4, 2)

Answer

(1, 4) and (3, 6)

Question 12

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

Accepted Answer

(-4, -1) and (2, 5)

Answer

(-4, 2) and (-1, 5)

Answer

(2, -1 and (-4, 5)

Answer

(-4, 1) and (2, -1)

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