Solving Two-Step Inequalities Word Problems

Debbie has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Debbie can buy.

• 60≥22x-8
• 22-8x≥60
• 22x+8≤60
• 22+8x≤60

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

Juan bought a soda for $2. He also bought some nachos for $3 each. Juan did not spend more than $14 on the nachos and the soda. Write an inequality can be used to find n, the number of nachos that Juan could have bought.

• 14≥2n+3
• 2+3n≤14
• 14-3n≤2

The members of Carver Middle School's Junior Beta Club need to raise at least $2000 to attend their national convention. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?

• 300x + 10 ≥ 2000
• 10x + 300 ≤ 2000
• 10x + 300 > 2000
• 300 + 10x ≥ 2000

The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?

• 106 - 4x ≤ 70
• 70 + 4x ≤ 106
• 4x - 106 ≥ 70
• 106 - 4x< 70

Deena has $230 in her bank account. She wants to buy each of the 3 other members in her family a gift. Deena wants to spend the same amount on each family member and have at least $50 left in her account. Which inequality could be used to find how much Deena can spend on each gift?

Josh wants to spend less than $80 to buy 4 shirts and a pair of pants. The pants cost $24. If the shirts all cost the same amount, which inequality can be used to find how much Josh can spend on each shirt?

Joan made over $300 working at a restaurant. She made $205 in tips and worked 6 hours. Which of the following could be used to find how much Joan makes per hour?

Four times a number increased by 13 is at least 52.

Two less than 6 times a number is below 34