Distributive Property
Simplify: 3(x + 4)
3x + 12
Solve: x − 6 = 10
x = 16
Solve: x + 8 = 15
x = 7
Solve: 4x = 20
x = 5
Solve: x + 12 = 20
x = 8
Simplify: 5(x − 2)
5x − 10
What is a variable?
A variable in math is a symbol—usually a letter like x, y, or n that stands for an unknown number or a value that can change.
Solve: 2n + 14 = 32
n = 9
Solve: x ÷ 6 = 7
x = 42
Solve: 6x = 42
x = 7
Simplify: −2(3x + 5)
−6x − 10
Name the property: x − 9 = 15 → x = 24
Addition Property of Equality
Name the property: x + 7 = 20 → x = 13
Subtraction Property of Equality
What is "Unlike Terms"
Terms that have different variables, or the same variables but raised to different powers.
Solve: 2x + 5 = 17
x = 6
Simplify: 4(2x − 3) + 5
8x − 7
What is "Like Terms"
terms in an algebraic expression that have the exact same variables. Also plain numbers without variables are also like terms.
Like terms: 3x and 10x
Plain numbers: 12 and 5
Find the LCM of 6 and 8.
24
Solve: x ÷ (−5) = 9
x = −45
Find the LCM of 9 and 12.
36
Solve: 3(2x + 4) = 30
x = 3
Solve: 5x − 18 = 2
x = 4
Solve: (2/3)x = 18
x = 5
What is a Coefficient?
A number in front and attached to a variable.
Ex. 4x
Find the LCM of 8, 12, and 18
72