Types of Answers
x = 7
one answer
What is the number in front of a variable
coefficient
what do you do first 3x - 9 = 8
add 9 to both sides
3x - 8 = 4
x = 4
8x - 2 = -9 + 7
x = 0
2 = 3
no solution
What is a number called
constant
what do you do 1st 11 - 4x = 8
subtract 11 from both sides
4(2x + 6) = 8
x = -2
-8 = -(x + 4)
x = 4
6 = 6
Infinite answers
like terms
what do you do second 2/3x - 7 = -21
multiply by 3/2
-(5x - 7) + 4 = -4
x = 3
-18 - 6k = 6(1 + 3k)
k = -1
2x - 5 = 2x + 5
no solution
What skill helps you isolate the variable
inverse operation
what are the steps to solve the equation -(2x + 8) - 6 = 3x
distributive property
combine like terms
move variable to one side
inverse operation
3x - 7x + 7 - 10 = 9
x = -3
2(4x - 3) - 8 = 4 + 2x
x = 3
3(4x - 6) = 4x + 4 + 8x - 22
infinite answers
What skill clears parentheses
distributive property
name the math terminology to clear a fraction coefficient example: 4/5x
reciprocal
-(6x + 9) - 4(4x - 3) = 25
x = -1
-3(4x + 4) + 4(6x + 1) = 2x + 42
x = 5