Translate verbal expressions
x + 5 = 19
x = 14
When two numbers are added, the sum is the same regardless of the order of the addends. For example a + b = b + a
commutative property
5 + 3 = 8
(5 + 3) - 2 = 8 - 2
Subtraction Property of Equality
The number that is multiplied by a variable
Coefficient
5 + 3w + 3 – w
8 + 2w
What operation do the following terms mean?
how much?
decreased by
product
how many in each?
Add
Subtract
Multiply
Divide
The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example a(b + c) = a(b) + a(c)
Distributive Property
5 + 3 = 8
(5 + 3) X 2 = 8 X 2
Multiplication Property of Equality
A term that is not a fraction or a coefficient and cannot change its value
Constant
3.4m + 2.4m
6.8m
Solve for f
f/2 = 5/8
1 1/4
When three or more numbers are multiplied, the product is the same regardless of the order of the multiplicands. For example (a x b) x c = a x (b x c)
Associative Property
5 + 3 = 8
(5 + 3) ÷ 2 = 8 ÷ 2
Division Property of Equality
A letter or symbol that represents an unknown quantity
Variable
3x + ¼ + 2y + ¼ + 7x – y
10x +1/2 + y
the quotient of a number (n) and 5
n = 15
3
Terms that have the same variable part, such as y and 2y are called
Like terms
The answer to a division problem
Quotient
Each part of an expression that is separated by a plus or a minus sign that is a number, a variable, or a number and a variable
Term
4.2n + 5 – 3.2n
n + 5
18 less than four times a number
4a - 18
5 + 3 = 8
(5 + 3) + 2 = 8 + 2
Addition Property of Equality
A mathematical sentence that uses an = sign to show that two expressions are equal
Equation
Operations that undo each other
Inverse Relationships
48.55 + k = 61.77
13.22