Solving Inequalities Two Step

You flip an inequality symbol when you...

• subtract

• multiply and divide by any number

• subtract or multiple by a negative number

• multiple or divide by a negative number

Solve and graph.
k - 13 > -51

• A

• B

• C

• D

25 < X - 10

• X > 35

• X < 35

• X > -35

• X < -35

Solve for t.

6t + 4 ≤ 22

• t ≤ -3

• t ≤ 3

• t ≥ -3

• t ≥ 3

Solve the following inequality for x:

2.5x + 3.75 ≤ 16.25

• x ≤ 5

• x ≥ 5

• x ≤ 8

• x ≥ 8

Nick had $26.50 to spend at the fair. Admission to the fair was $8.50 and rides cost $1.50 per ticket. Which inequality and solution represents how many ride tickets Nick can purchase?

• 8.50 + 1.50x < 26.50; Nick can purchase more than 12 tickets

• 8.50 + 1.50x > 26.50; Nick can purchase more than 12 tickets

• 8.50 + 1.50x ≤ 26.50; Nick can purchase no more than 12 tickets

• 8.50 + 1.50x ≥ 26.50; Nick can purchase no more than 12 tickets

Nick has $7.00. Bagels cost $0.75 each, and a small container of cream cheese costs $1.29. Write an inequality to find the numbers of bagels Nick can buy. Identify what your variable represents.

• 0.75 + 1.29N < 7.00; n = the number of bagels Nick can buy

• 0.75n + 1.29 < 7.00; n = the number of bagels Nick can buy

• 0.75n - 1.29 < 7.00; n = the number cream cheese Nick can buy

• 0.75 - 1.29n > 7.00; n = the number of bagels Nick can buy

Chet needs to buy 4 work shirts, all costing the same amount. The total cost before Chet applies a $25 gift certificate can be no more than $75. Write an inequality to find the possible amounts that Chet pays per shirt. Identify what your variable represents.

• 25a + 4 < 75; a = the maximum amount of the gift card

• 25 + 4a <75; a = the maximum amount each shirt can cost

• 75 + 4a > 25; a = the maximum amount each shirt can cost

• 25a + 4a > 75; a = the maximum amount of the gift card

Due to fire laws, no more than 720 people may attend a performance at Metro Auditorium. The balcony holds 120 people. There are 32 rows on the ground floor, each with the same number of seats. Write an inequality to find the numbers of people that can sit in a ground-floor row if the balcony is full. Identify what your variable represents.

• 120 + 32n < 720; n = the number of people in each row

• 120 + 32n > 720; n = the number of rows

• 720 + 32n < 720; n = the number of people in each row

• 120n + 32n> 720; n = the number of laws

Lincoln Middle School plans to collect more than 2,000 cans of food in a food drive. So far, 668 cans have been collected. Write an inequality to find numbers of cans the school can collect on each of the final 7 days of the drive to meet this goal. Identify what your variable represents.

• 668 + 7n > 2,000; n = the average number of cans each day

• 2,000 - 7n > 2,000; n = the number of students

• 668 + 7n > 2,000; n = the average number of cans each day

• 2,000 + 7n < 668; n = the number of people donating