End of Cycle 2 Review

The tables of ordered pairs represent some points on the graphs of lines q and v. Which system of equations is represented by lines q and v?

• 3x + 2y = 2

  2x - y = 8

• 4x - 5y = 6

  3x - y = 6

• 3x - 2y = -2

  2x + y = 8

• 3x - y = -2

  2x + y = 8

Mrs. Flores asked her students to solve the following system of equations: 6y + x = -59

x = -2y + 9

What is the value of y in the solution to the system of equations?

• 8.5

• -17

• 43

• -12.5

A customer is ordering hats and T-shirts from an online store. Each hat costs $7, and each T-shirt costs $10. The customer receives free shipping if the amount of the order is over $10. Write an inequality that represents all possible combinations of hats, x, and T-shirts, y, in an order that qualifies for free shipping.

• 7x + 10y > 100

• 7x + 10y < 100

• 7x + 10y = 100

• 7x + 10y ≤ 100

Tickets for a carnival cost $10 for children age of 12 and under and $15 for anyone over 12 years of age. The carnival sold a total of 310 tickets and collected $4,500. The system of equations is shown below, where x is the number of children's tickets and y is the number of adult's tickets. How many children's tickets were sold?

• 30

• 28

• 280

• 200

Which graph represents the system of linear inequalities below?

4x + 4y ≤ -16

8y - 8x ≥ 32

• Graph A

• Graph B

• Graph C

• Graph D

Which ordered pair is in the solution set of 5y – x > 30?

• (–7, 1)

• (–1, 7)

• (7, –1)

• (1, –7)

A system of linear equations is shown. Which statement about the system is true?

• no solution

• one solution

• infinitely many solutions

Which inequality is best represented by the graph?

• 5x – 2y < 10

• 2x – 5y < 25

• 5x – 2y ≤ 10

• 2x – 5y ≤ 25

Which section of the graph represents the solution set of the system of inequalities below?

• Section A

• Section B

• Section C

• Section D

A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were black-and-white copies, and the rest were color copies. Each black-and-white copy cost $0.08. Each color copy cost $0.15. Select TWO equations that represent the system of equations that can be used to find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop.

• b + c = 6.00

• 0.08b + 0.15c = 6.00

• 0.15b + 0.08c = 68

• 0.08b + 0.15c = 68

• b + c = 68