John wrote the following: Three fewer than one fourth of x is 12. Write an equation:
x/4 - 3 = 12
2x - 5 = 10
x = 7.5
4x - 5 - 2x = 19
x = 12
x + 5 = x - 5
No Solutions
You plan to purchase a new backpack. You already have 12 dollars and plan to save 9 per week. If the backpack costs 48 dollars how many weeks will it take for you to save? Write an equation:
9x + 12 = 48
3x - 4 = -14
x = -6
1/2x + 3/4x = 10
3x + 8 = 3x + 8
Infinitely Many Solutions
Emma babysat for 11 hours this week. That was 5 fewer than 2/3 as many hours as last week. Write an equation to find how many hours she babysat last week.
11 = 2/3h - 5
15 = x/4 + 3
x = 48
3x - 4 = 4x + 8
x = -12
2x - 6 = -x + 3
One Solution
Dylan bought 3 identical shirts online for a total cost of 71.83 including a flat rate shipping for 7.99. Write an equation to find the cost of each shirt.
3s + 7.99 = 71.83
1/2x - 8 = 2
x = 20
3x + 6 - 2x = 4x + 15
x = -3
3x - 7 < 5
x < 4
The height of a banner is equal to 1/3 of its length. If the banner is 5 feet tall write an equation to find the banners length.
5 = 1/3L
2(x - 4) = 22
x = 15
3(x + 2) - 2x = 1
x = -5
5(x + 3) > 45
x > 6