Misc Equations
Solving 2 Step Equations
Solving Multi-Step Equations
Variables on Both Sides
Special Cases
100

What is the mistake?

3x - 4 = x - 5

+x       +x

4x - 4 = -5

     + 4 = +4

4x = -1

They should have subtracted x from both sides

100

What's the 1st step to solve the linear equation shown? 12 - 4x = 20

Subtract 12 from both sides.

100

What's the 1st correct step to solve the linear equation? 4(x + 2) + 2x = 40

Use the Distributive Property.

100

What's the 1st correct step in solving the equation below:    5x - 8 + 2x = 12x + 10

Combine Like Terms

100

What are the 3 possible outcomes when solving equations?

One solution, no solution, infinite number of solutions

200

What's the 1st correct step in solving the equation:     -2x+4= 5x

Add 2x to both sides

200

Solve the equation:                                                   x/-4 + 10 = 8

x = 8

200

What's the correct simplified version of the expression show after distributing?                                             - 1/2 (8x - 16) + 6x

-4x + 8 + 6x

200

Correctly distribute both sides of the equation.             4(7x - 5) = -6(-2x + 4)

28x - 20 = 12x - 24

200

When solving an equation, a student gets to the last line of their work and is left with                               "5 = 13". What does this mean?

There is no solution

300

Solve the equation for y: 6*8 + y = 20

 y = -28

300

Solve the equation:                                                   7x - 5 = 37

x = 6

300

What's the correct simplified version of the expression shown after combining like terms?                                -4x + 8 +6x

2x + 8

300

Solve the equation: 12(2x - 3) = 6x

x = 2

300

When solving an equation, a student gets to the last line of their work and is left with                                 "x = 8". What does this mean?

The solution is 8.

400

Solve the equation for x:                                           3x + 6 - 2x = 9

x = 3

400

Solve the equation:                                                   -6 + 8x = 34

x = 5

400

Solve the equation:                                                19 =-12x+20+10x+3 

x = 2

400

Solve the equation:  2x - 6 = 4x + 1

x = -3.5

400

When solving an equation, a student gets to the last line of their work and is left with                             "10 = 10". What does this mean?

There are infinite solutions.

500

Solve the equation for y:                                           2 - y = 12

y = -10

500

Solve the equation:                                                 18 - 4.5x = 4.5

x = 3

500

Solve the equation: 2x - 8(x + 1)=-32

x = 4

500

When should you complete the move step?

When there are variables on both sides of the equation. 

500

How many solutions does the following equation have?

3x+6=3(x+2)

Infinite solutions