Two Step Solving Inequalities

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

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40

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

Fred was planning an 8-week cross-country hike through Europe. He planned on taking $1650 with him for food and other expenses. He wanted to return home with at least $450. Which inequality will allow Fred to determine how much he can spend each week?

• 1650 - 8w < 450

• 1650 - 8w > 450

• 1650 - 8w ≤ 450

• 1650 - 8w ≥ 450

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

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

Joanna joins a CD club. She pays $7 per month plus $10 for each CD that she orders. Write an inequality to find how many CDs she can purchase in a month if she spends no more than $100. Identify what your variable represents.

• 7c + 10 <100; c = the number of months

• 7 + 10c > 100; c = the number of CDs she buys

• 7c + 100 <10; c = the number of club choices

• 7 + 10c <100; c = the number of CDs she buys