STAAR Questions Inequalities

Baseball fans can buy tickets for seats in the lower deck or upper deck of the stadium. Tickets for the lower deck cost $42 each. Ticket prices for the upper deck are 75% of the cost for tickets for the lower deck. Which inequality represents all possible combinations of x, the number of tickets for the lower deck, and y, the number of tickets for the upper deck, that someone can buy for no more than $800?

• 42x + 56y ≤ 800
• 42x + 31.5 ≤ 800
• 42x + 56y > 800
• 42x + 31.5y > 800

The graph of 0.5x - 2y = 3 is shown on the grid. Which ordered pair is in the solution set 0.5x - 2y ≥ 3?

• (-2, 0.5)
• (2, 1)
• (2, -1)
• (-2, -0.5)

Which inequality describes all the solutions to 5(3 - x) < -2x + 6?

• x < -9
• x > 3
• x < - 3
• x > 7

Use the graph to answer the question above it.

• A
• B
• C
• D

Solve the inequality.

• A
• B
• C
• D

The total fees for the high school play are $250. An adult ticket is twice the price of a student ticket. If student admission is $5, which of the following inequalities represents the number of adult tickets, a, in terms of the student tickets, s, that need to be sold for the drama class to be able to pay the fees?

• a ≥ 250 - 5s
• a ≤ 250 - 5s
• a ≥ 25 - 1/2s
• a ≤ 25 - 1/2s

Stanley would like to give $5 gift cards and $4 teddy bears as party favors. Stanley has $120 to spend on party favors. Write an inequality to find the number of gift cards, x, and teddy bears, y, Shanley could purchase.

• 5x + 4y ≥ 120
• 4x + 5y ≥ 120
• 4x + 5y ≤ 120
• 5x + 4y ≤ 120

Write an inequality that represents all the values of x for y ≥ -(x - 1) + 2 when y = 21.

• x ≥ -18
• x ≤ -18
• x ≥ 18
• x ≤ 18

Which of the following points is in the solution set of the inequality y < -2x + 3 ?

• (2, 0)
• (2, 3)
• (1, -3)
• (0, 3)

The total cost of renting a banquet hall is a function of the number of hours that hall is rented. The owner of the hall charges $85 per hour plus a $50 cleaning fee. If a couple has a budget of $375, what is the maximum number of hours the hall can be rented?

• 2
• 3
• 4
• 5