Linear Equations 1
-3 (2x + 7) = 3
x = -4
12 - 5(3x + 2) = 17
x = -1
|8y - 3| = 13
y = 2, -5/4
|5x + 4| + 7 = 3
no solution
Solve for x:
y = 5x - 2
x = (y + 2)/5
You purchase two bottles of sunscreen and a hat. The hat costs $6.50. You pay a total of $16. 50. How much does one bottle of sunscreen cost?
One bottle of sunscreen cost $5.
4 + 6(7 - x) = 4
x = 7
|-x + 2| - 9 = 6
x = -13, 17
7|2x - 6| + 4 = 32
x = 5, 1
Solve for x:
y = -4x + 9
x = (y - 9)/-4
19 = 15x - 4(3x - 1)
x = 5
The perimeter of a patio is 64 feet. The width of the patio is 12 feet and the length of the patio is (x + 6) feet. What is the length of x?
x = 14 ft
Bob the Builder makes fences that are 7 feet long with a variance of 3 feet. Write an absolute value equation and find the range of fences.
|x - 7| = 3
The fences are 4-10 feet.
2|-7x + 5| - 4 = 10
x = -2/7, 12/7
3y - 15x = 12
x = (4 - y)/-5 or (y - 4)/5
Fix-It Felix Jr. comes over to fix your house. You buy new tiles that cost $250, and Felix charges $35 per hour of work. If you spend a total of $390, how many hours did Felix work?
Felix worked 4 hours.
3(x - 2) + 5(2 - x) = 16
x = -6
The average Algebra 1 class is 28 students plus or minus 8 students. Write an absolute value equation that models the situation and find the range of students in a class.
|x - 28| = 8
An Algebra 1 class can have 20-36 students.
-4|5x - 12| + 8 = -4
x = 5, 9/5
9 = 4x + 5xy
x = 9/(4 + 5y)
6(y - 7) = 3(4 - y)
y = 6
One ounce of frozen yogurt from Yogurtland costs 40 cents. If the cup weighs two ounces, how much yogurt and toppings can you get if you only have $5?
10.5 ounces of yogurt and toppings
Sam and Sarah go to Sharetea almost every day. They have found that they usually have to wait between 5 and 25 minutes for their drinks. Write an absolute value equation that represents the minimum and maximum wait times.
|x - 15| = 10
Create a 2 step absolute value equation with the solution x = 5, -5
:)
6h = 3dx + 4cxy - 5m
x = (6h + 5m)/(3d + 4cy)