Solving Equations
-3x + 9 = 24
x = -5
-3b - 8 > 10
b < -6
A runner warms up for ten minutes and then takes seven minutes to run each mile. The total time after r miles is 45 minutes. How many miles are run?
7x + 10 = 45
2. Sylvia set a goal of saving at least $200 in a savings account. She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?
5x + 60 _>_ 200
4x + 11 = 31
x = 5
9 < 5x - 6
x > 3
As a membership fee, a health club charges a one-time amount of $40 and charges $25 for each month. The total fee after m months is $240. What is the value of m?
25x + 40 = 240
Daniel had $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each, what is the greatest number of rides Daniel can go on?
1.50x + 4 _<_ 25
-14 = 6x - 8
x = -1
7x - 12 < - 26
x < -2
An electrician charges $40 to come to your house. She also charges $55 for each hour that she works. The electrician charges you a total of $190. How many hours does the electrician work at your house? Use h for the number of hours.
55x + 40 = 190
Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones?
14x + 30 _>_ 240
-6x - 10 - 3x = 8
x = -2
15 < -5c - 20
c < -7
A taxi charges $1.75 plus a fee of $0.75 for each mile traveled. The total cost of a ride, without a tip, is $4.75. How many miles is the trip? Use m for the number of miles traveled
0.75x + 1.75 = 4.75
You have $14 in your pocket. A taxi has a ride fee of $5 plus an additional fee of $0.60 per mile, what is the most miles you could ride in the taxi without using all of your money? ( Mileage is rounded up if you stop before a complete mile.)
0.60x + 5 < 14
4 ( 2x - 7) = 12
x = 5
-12g + 26 < 14
g > 1
A home repair crew charges seventy-five dollars per day plus two hundred fifty-five dollars for each hour the crew works. One day the crew works c hours and charges a total amount of one thousand, six hundred five dollars. How many hours does the crew work?
250x + 75 = 1,605
Kiari needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?
50x + 2400 _>_ 4800