Variables on Both
Sides
Variables on Both
Sides of equation
Simplifying/Combining/Distributive Property
Variables on both
sides
?
100

6x + 2x + 2 = 4x + 2

What is x = 0?

100

2x + 8 = 6x

What is x = 2?

100

Combine Like Terms: 80+14t-5-4t

What is 10t + 75

100

-5n - 6n = 8 - 8n - n



What is n = -4?

100

8(x − 9) = 6(2x − 12) − 4x

Infinite Solution


200

3(x - 1) = 2x + 9

What is x = 12?

200

- 2(x + 3) = 4(x + 1) -6x - 5

No solution

200
4(3d-2) = 16d
What is - 2?
200

-5n + 6 = -7(5n - 6) - 6n

What is n > 1 ?

200

Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?

17r + 2.97 = 34.76

300

2(3c − 6) − 2c = 4(c + 4)

NO SOLUTION!!!!

300

4/3m - 12 = 2/3m

What is m = 18?

300

5c - 4 - 2c + 1=4c+2

What is c = -5?

300

28 - k = 7(k - 4) 

What is k = 7 ?

300

Kali purchased basketball tickets for $20 each.  She spent $15 on snacks.  If she spent a total of $95, how many tickets did she buy?

She bought 4 tickets.

400

-2(5 + 6n) = 4(5 - 2n)

What is n = -15/2? 

 or  n = -7.5

400

12.4f = -2.6f +5

What is f = 1/3?

400

4(5+h) = 4h + 10 - 2h

What is h = -5?

400

28 - 7x = -4(-7x - 7)

What is x = 0?

400

Danielle is building a rectangular fence around her garden.  The length is 10 feet longer than the width.  If she has 120 feet of fencing, what are the length and width of the garden?

The width is 25 feet and the length is 35 feet.

500

-6(1 + 2k) =  4(1 + k) 

What is k = -5/8?

500

-4c - (-17) = 7 - (-6c)

What is c = 1?

500

The sum of the interior angles of a triangle are 180 degrees. Angle A is 23 degrees, Angle B is 3x degrees, Angle C is x+17 degrees. Write an equation and solve for x.

What is 23 + 3x+ x+17= 180 or 40+4x=180, x = 35 degrees?

500

3(p - 3) - 5p = -3p - 6

What is p = 3?

500

You and three friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $100, how much does one regular price ticket cost?

4t - 20 =100


$30

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