Inequalities Two Step

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

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

• 200 + 25x ≥ 500
• 500 + 25x ≥ 200
• 500 - 25x ≥ 200
• 500 - 25x ≤ 200

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

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Which word problem represents the inequality:
x + 32 ≥ 80
(Show work by writing down inequality clue words.)

• Janine's goal is to earn at least $80 for soccer camp.  She has earned $32 so far.  How much more does she need to earn?
• Janine made more than 80 points during the basketball season.  She made 32 points the first five games.  How much did she score the rest of the games?
• Janine scored above an 80 on her math homework.  But, she turned her work in late and was deducted 32 points.  What did she make after the deduction?

Benton is going shopping. He wants to spend less than $250. If he bought shirts that are $30 each and a pair of shoes for $120, how many shirts did he buy? Which inequality represents this situation?

• 30x + 120 > 250
• 30x + 120 < 250
• 30x + 120 ≥ 250
• 30x + 120 ≤ 250

Grace earns $7 for each car she washes. She always saves $25 of her weekly earnings. This week she wants to have at least $65 in spending money. Which inequality represents how many cars she must wash?

• 25 - 7x ≤ 65
• 7x - 25 ≥ 65
• 7x - 65 ≥ 25
• x/25 - 65 > 7

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Adriana has 5 good friends to bring to the party.  I want you to invite some more friends.  We want to invite at least 12 people.  How many people should you invite?

• At least 7
• Less than 7
• Less than 17
• At least 17

Solve -10 - 5x ≥ 25

• x ≤ 3
• x ≥ -7
• x  ≤ -7
• x ≥ -3