One- and Two-Step Inequalities Word Problems

Top Golf charges $12 for each hour. You can spend no more than $60.

Which of the following inequalities could help you solve for all the possible hours, h, that you can golf for?

• 12x < 60

• 12x ≤ 60

• 12x > 60

• 12x ≥ 60

A new tree you just planted will grow to be at most 35 feet tall. If it is currently 6 feet tall.

Which of the following inequalities could be used to find all all the possible values of how many more feet, f, will it grow?

• 6 + x ≥ 35

• 6 + x > 35

• 6 + x < 35

• 6 + x ≤ 35

An unknown number decreased by 9 is at most 25. What is the number?

• x - 9  $\ge$   25

• x - 9 ≤ 25

• x - 9 < 25

• x - 9 > 25

You start a dog walking business. Each dog earns you $8.

Which of the following inequalities could help you find all the possible values of d, the amount of dogs you will need to walk, to have more than $32?

• $8x\ >32$

  
  

• 
  

  $8x\ \ge32$

• $8x\ <32$

• $8x\ \le32$

The temperature for the day starts at 37 degrees and rises to at least 60 degrees.

Which of the following inequalities could be used to find all the possible values of t, the amount the temperature could rise?

• 37 + x > 60

• 37 + x ≥ 60

• 37 + x < 60

• 37 + x ≤ 60

Julie had twins that weighed less than 16 pounds together. If each twin weighed the same amount, which of the following inequalities could be used to find all the possible values of w, the amount each twin weighs?

• 2x ≤ 16

• 2x > 16

• 2x ≥ 16

• 2x < 16

Trisha and her three sisters to decide to purchase their mom a Christmas gift. They decide that everyone will contribute an equal amount, up to $60 per person. Which inequality will help find how much money will the sisters spend on their mom for Christmas?

• x ÷ 4 ≤ 60

• 4x ≤ 60

• x ÷ 4 ≥ 60

• 4x ≥ 60

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike? 

• 15h ≤ 105
• 15h > 105
• 15h < 105
• 15h ≥ 105

Jason got a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Jason hopes to make at least $68 this week to buy a new pair of soccer cleats. How many magazine subscriptions does Jason need to sell?

• 25 + 3x > 68

• 25 + 3x < 68

• 25 + 3x ≥ 68

• 25 + 3x ≤ 68

Sai gets 5 points for each answer and has already earned 10 points of extra credit. She needs at least 77 points to pass. How many questions does Sai need to answer to pass?

• 5x + 10 < 77

• 5x + 10 > 77

• 5x + 10 ≤ 77

• 5x + 10 ≥ 77