Inequality and Equation Word Problems

Which number belongs with x in the equation?

• 22.50

• 1

• 9.50

• 32.00

Answer explanation

Which equation matches the scenario?

• y = 9.5x + 22.5

• y = 22.5x + 9.5

• y = 9.5x - 22.5

• y = 22.5x - 9.5

Lupe’s parents are planning for her 15th birthday party and can spend no more than $1200 on music. They are going to book a band, b, for $150 an hour and a DJ, d, can play for the remaining time at an hourly rate of $79. Which inequality describes this situation?

You bike for 2 hours at a speed no faster than 17.6 miles per hour. Write and solve an inequality that represents the possible numbers of miles you bike.

• X ≤ 17.6

• X ≥ 17.6 

• X ≥ 35.2 

• X ≤ 35.2

Solve the following inequality:
-4x + 14 ≤ 54

• x ≥ -10

• x ≤ -10

• x ≥ 10

• x ≤ 10

Solve:
-4(-7-5x) > 188

• x < -32

• x > -32

• x < 8

• x > 8

For a field trip 4 students rode in cars, and the rest filled nine buses. 472 students went on the trip. Which equation models the situation?

• 4x = 472

• 9x = 472

• 4 + 9x = 472

• 4x + 9 = 472

Look at the Inequality
Which of the following scenarios could be used to represent it?

• The student council is ordering T-shirts from a website.  The T-shirts cost $9 each and there is a shipping fee of $8 for any amount ordered.  The student council wants to spend no more than $80 on the T-shirts.  What are the possible number of T-shirts they can order?

• The student council is ordering T-shirts from a website.  The T-shirts cost $9 each and there is a shipping fee of $8 for any amount ordered.  The student council wants to spend more than $80 on the T-shirts.  What are the possible number of T-shirts they can order?

• The student council is ordering T-shirts from a website.  The T-shirts cost $9 each and there is a shipping fee of $8 for any amount ordered.  The student council wants to spend less than $80 on the T-shirts.  What are the possible number of T-shirts they can order?

• The student council is ordering T-shirts from a website.  The T-shirts cost $9 each and there is a shipping fee of $8 for any amount ordered.  The student council wants to spend exactly $80 on the T-shirts.  What are the possible number of T-shirts they can order?  

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile.  Katie has no more than $10 to spend on the taxi ride.

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

• 2 hours

• 3 hours

• 4 hours

• 5 hours