The parts of an expression that are added together.
Terms
The number part of a variable, they multiply the variable by the number’s value.
Coefficient
5 x (8 x 3) = (5 x 8) x 3
Associative Property of Multiplication
6 + 4 = 4 + 6
Commutative Property of Addition
A term that does not change, it has no variability.
Constant
Operations that undo one another.
Inverse Operations
Commutative Properties
4 + 5 = 5 + 4
Commutative Property of Addition
A number that produces a true statement for the equation when it is substituted for the variable.
Solution
An expression is ________ when it contains no grouping symbols and all like terms are combined.
Simplified
a + (b + c) = (a + b) + c
Associative Property of Addition
a(b + c) = ab + ac
Distributive Property
Terms that have identical variable parts.
Like Terms
A mathematical sentence containing two expressions and an equals sign.
Equation
x + 0 = x
Identity Property of Addition
(ab + ac)(1) = ab + ac
Identity Property of Multiplication
The Additive Identity
Zero
Finding the solutions to an equation is called __________________________?
Solving the Equation
x + 6 = 9
x + 6 - 6 = 9 - 6
x = 3
Subtraction Property of Equality
3x = 12
(3x)/3 = 12/3
x = 4
Division Property of Equality
You have a rectangular garden along the back of your home. You put up fencing to enclose three sides of the garden - one long side and the two short sides. One long side is enclosed by the back of your home.
You use 72m of fencing for the three sides. Let s represent the length (in meters) of a short side of the garden. Write a simplified expression for the area of the garden.
Short side: s
Long side: 72 - 2s
Area: short side x long side
Area = s(72 - 2s) = 72s - 2s2