Properties
Identify the property:
w + (6 + 4) = w + 10
What is substitution?
Solve for t : 5 - b = 2t
What is t = (5 - b)/2?
You are buying a digital camera that costs $375. The store lets you make a down payment. You can pay the remaining cost in four equal monthly payments with no interest charged. You make a down payment of $175. Write the equation that can be used to find the amount of each monthly payment.
What is 175 + 4p = 375?
Identify the property used from line 1 to line 2.
5x - 45 = -50
5x = -5
What is addition property of equality?
Solve for x: 4y + 3x = 5
What is x = (5 - 4y)/3?
You are rock climbing and descending a cliff at a rate of about 9 feet per minute. The cliff is about 360 feet high. Write the equation for finding how long until you are at a height of 234 feet.
What is 360 - 9m = 234?
Identify the property used to get from line 1 to line 2.
14 + 3x - 10 = 28
3x + 14 - 10 = 28
What is commutative property?
Solve for d: t = d/500 + 1/2
What is d = 500t - 250
The solution to: 3(14x + 3) = 6(7x + 1) + 3
What is All Real Numbers or infinite solutions?
The length of a rectangle is 3 meters more than twice its width. The perimeter of the rectangle is 48 meters. Write an equation for the perimeter of the rectangle if the width is w.
What is (w) + (2w+3) + (w) + (2w+3) = 48?
or 2(2w+3) + 2w = 48
Identify the property to get from line 1 to line 2.
52 = 2x + 18
2x + 18 = 52
What is symmetric property?
Solve for T: PV = nRT
What is T = PV/nR?
Write an equation for the area of a rectangle whose length is (x + 5) inches, whose width is 3 inches, and whose area is 45 square inches.
What is 3(x + 5) = 45?
Identify the property.
If 6 + 3 = 9 and 9 = 3(3), then 6 + 3 = 3(3)
What is transitive property?
Solve for a: 2/5a - 3/4b = c
What is a = 5/2c + 15/8b?
The solution to: 19 - 1/4(x + 8) - x = 2
What is x = 12?
At a local ice cream store, it costs $2.25 per smoothie. You can buy a smoothie maker for $50 and buy ingredients at a cost of $1 per smoothie. Write an equation to find how many smoothies would have to be made for the cost of the ice cream stand smoothies to equal the cost of the smoothies made at home.
What is 2.25s = 50 + 1s?