What's the next step?
3x + -1 = -5x + 4
Move the variables (which are like terms) to one side. Add 5x to both sides. 8x + -1 = 4
3x + 10x - 14 -x + x2
x2 + 12x - 14
-3 - 4x = 21 - 8x
x = 6
16 − 2x = −8 + 4(x − 3)
x = 6
The vocabulary word that means a letter that represents a number.
What is a variable?
3x + 5x + 2 = 6x - 1
Add 3x + 5x and to equal 8x.
8x + 2 = 6x - 1
-5 + 5(x + 4)
5x +15
2x + 12x - 8 = 11x + 1
x = 3
10(1+3b) = -20
b = -1
The math vocabulary word for opposite, as in using an _______________ operation.
What is inverse?
11x +7 = -70
Isolate the variable by moving the constants to the same side. 11x = -77
4b + b + b + a - 4a - 3 + 10
6b-3a+7
-9x + 8 = 48 + x
X = -4
5 − (8x + 5) = −4(1 + 3x)
x = -1
A vocabulary word that means that a number has a fixed value.
What is a constant?
3(x - 1) = 4x
Use the distributive property: 3x - 3 = 4x
2x - (9x - 4)
-7x + 4
-6x + 14x - 280 = -9x - 127
x = 9
3(x − 6) = −5x − (7 + 3x)
x = 1
What phrase means to put together variables and to put together constants in an expression or an equation?
What is "combine like terms"?
A. On the Board
Multiply both sides by -16
11 - (3x - 6) + 2(4x +5) - x
4x + 27
-6/10 x - 7/10 x +5/10 x = -56
x=70
−6(3 − 6x) = −18 + 4x
x = 0
The number part of a term that contains a variable.
What is the coefficient?