Equation and Inequality Word Problems

Jim paid a gym membership fee of $50,plus $20 per month. Jim has paid a total of $290 to the gym. What equation can be used to find how many months has Jim been a member of the gym?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290

Tags

7.10.A

Which situation is best represented by the following equation? 45w + 123.95 = 753.95

• Erica paid $753.95 for dance classes. She paid $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes?

Which situation can be represented by this inequality?

• Stefan spends $6.50 on supplies for lemonade stand and sells each cup of lemonade for $1.25. What is x, the number of cups of lemonade Stefan must sell to earn a profit of more than $50?

• Stefan has a balance of $6.50 in his savings account and deposits $1.25 each week. What is x, the number of week Stefan must deposit $1.25 in order to have a balance of more than $50 in his savings account?

• Stefan earns 1.25% interest on the balance in his checking account and has to pay a monthly charge of $6.50. What is x, the balance that Stefan must have in his checking account in order to have an ending balance greater than $50 after interest and fees?

• Stefan charges $1.25 for gasoline plus $6.50 per hour for mowing lawns. What is x, the number of hours he has to mow lawns to earn more than $50?

A computer printer can print 10 pages per minute.There were already 35 pages in the tray. The total pages printed was 115 pages. Write an equation for the number of pages the printer can print in m minutes.

• 10m + 35 = 115

• 10m - 35 = 115

• 115m + 35 = 10

• 35m + 10 = 115

Tags

7.10.A

Cody’s Gym charges a $18 fee to join and $30 per month. Tyler’s Gym charges a $50 fee to join and $20 per month.

Use an inequality to determine how many months will you have to go to the gym before Tyler’s gym becomes the better deal.

• 3

• 4

• 5

• 6

Solve for x

• x > 8

• x < 9

• x > 10

• x < 7

x/13 + 3 ≥ 4

• x ≥ 13

• 13 ≥ x

• x ≥ 91

• 91 ≥ x

Solve for x

4x + 3 ≤ −6

• x ≥ −9

• x ≤ −9

• x ≥ −2.25

• x ≤ −2.25

6x + 14 ≥ 20

• x ≥ 1

• 1 ≥ x

• x ≥ 5.6

• 5.6 ≥ x

-56 ≤ -8r

• 7 ≥ r

• -7 ≥ r