Writing Two-Step Equations
Fractions Are Our Friends!
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To Like Or Not To Like
Multi-Step Madness
100

When J.J. house sits, he charges $99 for the entire stay (no matter how many days).

When Deshaun house sits, he charges $10 a day, plus an additional one-time fee of $4.

What is 9.5 days?

100

-(1/2)x +2 = (1/4)x + 3

What is -1 1/3?

100

5(2 + 4x)

What is 10+20x?

100

8x - 4x - 6

What is 4x - 6?

100
12x - 28 = -63 + 7x
What is -7
200

Mr. Webb has two dogs, Ava and Archie.

Archie can eat 3 lbs of food a day.

Ava can eat 2.5 lbs of food a day. 

How many pounds of food do Mr. Webb's dogs eat in one week?

What is 38.5 pounds?

200

2/5x + 2/5 = -38 + 1/10x

What is -128?

200

-(5 + 7x)

What is -5-7x?

200

3x +7 - 5x

What is -2x + 7

200
-11x + 32 = 104 - 5x
What is -12
300

You are hiring someone to fix your computer. Don't Click On Everything, Inc. charges $312 up front, plus a $12 per hour labor fee. Your Computer Is Not A Frisbee, Inc. charges $36 per hour, and no upfront fees. 

The numbers of hours it takes for both companies to cost the same amount.

What is 13 hours?

300

(1/3)x - 1/4 = -(2/3)x + 3

What is 3 1/4 (or 3.25)?

300

-4( 3 + 2x)

What is -12-8x?

300

7 - 4 + 3x

What is 3 + 3x

300
-5x - 19 = 5 - 13x
What is 3
400

Road Trip! 

You want to rent a car to go to the Grand Canyon. Costco charges $45, plus $0.20 per mile.

Enterprise charges $30, plus $0.25 per mile.  

How many miles do you have to drive for the cost to be the same?

What is 300 miles?

400

11 = (1/20)x + 1/40

What is 219.5?

400

10 + 3(x + 2)

What is 3x + 16?

400

7x - 12 + 3x

What is 4x - 12?

400
2(-4x - 13) = 37 + 13x
What is -3
500

Brad Pitt's pool has 300 gallons of water, and is draining 10 gallons per minute. Angelina Jolies' pool is empty, but filling at a rate of 5 gallons per minute. 

The minutes it takes for both pools to be even.

What is 20 minutes?

500

(1/14)x - 6/7 = (5/28)x

What is -8?

500

23 - 7(x + 3) + 5x

What is -2x+2?

500

12x - 7 + 2x - 8

What is 14x - 15? 

500
13 - 3x = -5(3 + 2x)
What is -4