Equation Basics
Give an example of a variable
Any letter is correct
What operation would you use to "UNDO" x÷7
Multiplication
What is the first step when trying to solve this for x?
3x+14=35
subtract 14 from both sides
Solve:
2x + 4 = 3x - 11
x = 15
4x - 6 = 2x + 8
x = 7
What is the coefficient in 3x?
3
-x=9 so what does positive x equal?
x = -9
Solve:
3x - 4 = 8
x = 4
What would you do first to solve this?
3(3x + 4) = 27 + 5x
Distribute
6x - 4 = 2x + 4
x = 2
What is the ultimate goal when solving equations?
To isolate the variable
Solve: x ÷ 5 = 4
x=20
Solve:
-4y + 10 = 26
y = -4
Solve for x.
2(3x - 4) = 16
x=4
-12 - w = 4 + w
w = -8
Combine like terms:
-4x + 6y + 2x - 8y + 2y
-2x
x=-286
What is the second step when solving for x?
6x - 7 = 13
divide both sides by 6
Solve:
3x + 9x - 4x + 9 = 33
x= 3
3t - 9 = 6 - t
t = 15/2 or 7 1/2
Which operation do you perform when using distributive property?
Multiplication
72x=-936
x=-13
Solve:
-14x - 27 = 29
x = -4
Solve:
4 + 3(x - 1) = - 20
x = -7
-3 + 4x + 9 = -4x - 10
x = -2