Equation and Inequality Word Problems

Which number belongs with x in the equation?

• 22.50

• 1

• 9.50

• 32.00

Answer explanation

What does the x represent in this problem?

• Initial charge

• Miles

• Total Cost

• Airport

Answer explanation

The length of a rectangle is represented by x - 8 cm and the width of the same rectangle is represented by 5x + 1 cm. If the perimeter of the rectangle is 46 cm, what is the value of x?

• 5

• 6

• 7

• 8

The length of a rectangle is represented by 6x feet and the width is represented by 3x feet. If the perimeter of the rectangle is 72 feet, what is the value of x?

• 4

• 6

• 8

• 10

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?

Noah has $100 saved in a bank account. He asked Sydney to help him figure out how much he could take out each month if he needs to have at least $25 in the account a year from now.

• 100 - 12x > 25

• 100 - 12x < 25

• 100 - 12x ≥ 25

• 100 - 12x ≤ 25

You and your friend are planning to walk across an old bridge. The bridge can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds.Write and solve an inequality that represents how much your friend can weigh within the limits of the bridge.

• X ≤ 169 

• X < 169

• X < 156

• X > 156 

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:
-4(-7-5x) > 188

• x < -32

• x > -32

• x < 8

• x > 8

Erica has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket.  How many weeks will it take Erica to save money for a new jacket?

• 11 weeks

• 10 weeks

• 12 weeks

• 13 weeks