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Properties
Literal Equations
Solving Multi-Step Equations
Solving Equations with Variables on Both Sides
Word Problems
100

Identify the property:

w + (6 + 4) = w + 10

What is substitution?

100

Solve for t : 5 - b = 2t

What is t = (5 - b)/2?

100
The solution to: 14x - 6 - 11x = 21
What is x = 9?
100
The solution to: -4x + 10 = 6x - 40
What is x = 5?
100

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?

200

Identify the property used from line 1 to line 2.

5x - 45 = -50

5x = -5

What is addition property of equality?

200

Solve for x: 4y + 3x = 5

What is x = (5 - 4y)/3?

200
The solution to: -6(2x + 3) = 42
What is x = -5?
200
The solution to: 15x + 24 = 8(10 + 3x) - 2
What is x = -6?
200

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?

300

Identify the property used to get from line 1 to line 2.

14 + 3x - 10 = 28

3x + 14 - 10 = 28

What is commutative property?

300

Solve for d: t = d/500 + 1/2

What is d = 500t - 250

300
The solution to: -14 = 6x - 8(x + 3)
What is x = -5?
300

The solution to: 3(14x + 3) = 6(7x + 1) + 3

What is All Real Numbers or infinite solutions?

300

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

400

Identify the property to get from line 1 to line 2.

52 = 2x + 18

2x + 18 = 52

What is symmetric property?

400

Solve for T: PV = nRT

What is T = PV/nR?

400
The solution to: -2 = 11 + 3(3x - 5) - 7x
What is x = 1?
400
The solution to: -3(2.5x - 1) + 20.2 = -35.475 - 5x
What is x = 23.47?
400

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?

500

Identify the property.

If 6 + 3 = 9 and 9 = 3(3), then 6 + 3 = 3(3)

What is transitive property?

500

Solve for a: 2/5a - 3/4b = c

What is a = 5/2c + 15/8b?

500

The solution to: 19 - 1/4(x + 8) - x = 2

What is x = 12?

500
The solution to: 3(5 - 6x) = -14x - 2(1 + 2x) + 2
What is No Solution?
500

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?