One-Step Equations
x - 8 = 19
x = 27
5x + 15 = 90
x = 15
5x + 7x = -84
x = -7
8x - 6 = 6x + 2
x = 4
Health Club A charges a $22 membership fee plus $24.50 per month. Health Club B charges a $47 membership fee plus $18.25 per month. After how many months will the cost be the same?
4 months
-3x = 57
x = -19
12 + 3x = 33
x = 7
11x - 5x = 174
x = 29
-5x + 16 = 3x - 24
x = 5
Town 1 has 5 inches of snow and is increasing by 3.5 inches every hour. Town 2 has 6 inches of snow and is increasing by 2.25 inches every hour. After how many hours will the amount of snow be the same?
0.8 hours
x + 13 = -54
x = -67
-16 - 4x = 72
x = -22
7/8x - 1/2x = 24
x = 64
13x - 54 = 21 - 2x
x = 5
Pristine Printing charges a $15 set up fee plus $.10 for each business card. The Printing Place charges a set up fee of $10 plus $.15 for each business card. What number of business cards will cost the same at both places?
100 business cards
x3 = 64
x = 4
1/2x - 14 = -8
x = 12
9x - 63 - 2x = 7
x = 10
12 - x = -7x + 78
x = 11
Tank A has 600 gallons of water and is leaking 10 gallons every minute. Tank B has 200 gallons of water and is gaining 15 gallons every minute. After how many minutes will the two tanks have the same amount of water?
16 minutes
4/5x = 80
x =100
1.9 - x = -13.4
x = 15.3
8x - 3x - 12 + 7 + x = 37
x = 7
19x = 11x - 96
x = -12
A movie club charges a $25 membership fee which allows members to purchase movies for $7 each. Another club does not charge a membership fee and sells movies for $12 each. How many movies must a member purchase for the cost to be the same at both clubs?
5 movies