Literal Equations
What are the three steps of solving literal equations?
Move the x
Divide
Simplify
What's the 1st step to solve the linear equation shown? 12 - 4x = 20
Subtract 12 from both sides.
What's the 1st correct step to solve the linear equation? 4(x + 2) + 2x = 40
Use the Distributive Property.
What's the 1st correct step in solving the equation below: 5x - 8 + 2x = 12x + 10
Combine Like Terms
What are the 3 possible outcomes when solving equations?
One solution, no solution, infinite number of solutions
What's the 1st correct step in solving the equation: -2x+4y=10
Add 2x to both sides
Solve the equation: x/-4 + 10 = 8
x = 8
What's the correct simplified version of the expression show after distributing? - 1/2 (8x - 16) + 6x
-4x + 8 + 6x
Correctly distribute both sides of the equation. 4(7x - 5) = -6(-2x + 4)
28x - 20 = 12x - 24
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
Solve the equation for y: 6x + y = 20
y = -6x +20
Solve the equation: 7x - 5 = 37
x = 6
What's the correct simplified version of the expression shown after combining like terms? -4x + 8 +6x
2x + 8
Solve the equation: 12(2x - 3) = 6x
x = 2
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.
Solve the equation for y: 3x + 6y = 9
y = -1/2x + 3/2
Solve the equation: -6 + 8x = 34
x = 5
Solve the equation: 19 = -12x + 20 + 10x + 3
x = 2
Solve the equation: 2x - 6 = 4x + 1
x = -3.5
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.
Solve the equation for y: 2x - y = 14
Solve the equation: 18 - 4.5x = 4.5
x = 3
Solve the equation: 2x - 8(x + 1) = -32
x = 4
When should you complete the move step?
When there are variables on both sides of the equation.
How many solutions does the following equation have?
3x+6=3(x+2)
Infinite solutions