One solution/No Solution/Infinite Solutions
Variables on Both
Sides of equation
Simplifying/Combining/Distributive Property
Variables on both
sides of Inequalities
Literal Equations
100

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

What is infinite solutions?

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

P = 2(L) +2(W). 


Solve for W

What is W = (P-2L)/2 ?

200

3(x - 1) = 2x + 9

What is one solution (x = 12) ?

200

27n = 18n - 9

What is n=-1?

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

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

What is n >=1 ?

200

PV = nRT. 

Solve for R

What is R= (PV)/(nT)

300

-2(x + 1) = -2x + 5

What is no solution?

300

4/3m - 12 = 2/3m

What is m = 18?

300
5c-4-2c+1=3c+2
What is 0=-1 or NO SOLUTION?
300

28 - k >= 7(k - 4) 

What is k <= 7 ?

300

1/3y - 4x = 5. 

Solve for y.

What is y = 3(5+4x) or y = 15 + 12x

400

-2(5 + 6n) < 6(8 - 2n)

What is infinite solutions?

400

12.4f = -2.6f +5

What is f = 1/3?

400

4(5+h) = 40(0.5+0.1h)

What is 20h+4 = 20h+4 or infinitely many solutions

400

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

What is x >= 0?

400

-(1/5)y - 8 = 5x + 7.

Solve for y.

What is y=-25x-75

500

-6(1 + 7k) + 7(1 + 6k) <= -2

What is no solution?

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

On a trip to the mall, Ms. F bought her boyfriend Ryan Gosling m video games and a controller. The total cost is dollars represented by the equation C=72m + 54. Solve for m to find a general formula for how many video games she bought. Use this equation to find the number of video games if Ms. F spent $342.

What is m=(C-54)/72, 4 video games

M
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