Equations can also be written from problem situations.
Brittany's cell phone plan charges $0.05 for each text message she sends plus $45 a month for unlimited calling. If Brittany's cell phone bill is $54.65 at the end of the month, how many text messages, t, did she send?
What does each part of the problem represent?
| Phrase – in words | Phrase – mathematically |
| Brittany's cell phone plan charges $0.05 for each text message, t, she sends | 0.05t |
| Plus $45 a month for unlimited calling | 0.05t + 45 |
| If Brittany's cell phone bill is $54.65. . . . | = 54.65 |
| Write the final equation | 0.05t + 45 = 54.65 |
Elizabeth wants to buy a small flat-screen TV for her bedroom. The TV is 35% off the original price, p. Which equation can be used to find the sale price, s, of the TV, not including tax?
What is the mathematical phrase that describes each part of the problem? When you know, click the link to reveal the answer.
| Phrase – in words | Phrase – mathematically |
| The TV is 35% off | Interactive button. Assistance may be required. ____ 0.35p |
| 35% off the original price, p | Interactive button. Assistance may be required. ____ p – 0.35p |
| Find the sale price, s | Interactive button. Assistance may be required. ____ = s |
| Write the final equation | Interactive button. Assistance may be required.
____
p – 0.35p = s
or s = p – 0.35p |
The number of hours Nicole bikes each week, b, is 3 more than the number of hours she runs, r. Which equation shows the number of hours she runs each week?
Write the equation for this problem situation.
Interactive popup. Assistance may be required. b = r + 3 or r = b – 3
Kimberly and her friends are having a car wash to earn money for the school play. They earn $7 for each car they wash. Kimberly spent $36 before the car wash on soap, sponges, and towels for the girls to use. How many cars, c, did Kimberly and her friends wash if they earned $559 after expenses?
Write the equation for this problem situation.
Interactive popup. Assistance may be required. 7c – 36 = 559