Two-Step Inequalities

Solve and graph the inequality.
77 ≤ 5 + 8n

• A
• B
• C
• D

Do I need to flip my sign?
-3x  ≥ 12

• Yes
• No

Solve and graph the inequality.
7n - 1 > 76

• A
• B
• C
• D

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.

Which of the following inequalities can be used to determine the least number of cars she can wash to buy the headphones?

• 30x+14 ≤ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 14x+30 ≥ 240

Sylvia set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, which of the following inequalities can be used to determine the amount of weeks it will take her to reach her goal?

• 5x+60 ≥ 200

• 5x+60 ≤ 200

• 60x+5 ≥ 200

• 60x+5 ≤ 200

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?

Solve for t.

6t + 4 ≤ -2

• t ≤ -1 
• t ≤ 1
• t=1
• 1=t

You flip an inequality symbol when you...

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

Aaron needs at least $240 to buy new headphones. He has already saved $30. He earns $14 per car that he washes.

What is the least number of cars he can wash to buy the

headphones?

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

Pick the correct letter for:
6 > x

• A
• B
• C
• D