Terms
Terms that contain the same variables raised to the same power. Example 5x and 6x.
Like Terms
3(5 + 6)
33
n + 9n
10n
(x - 1) + (2x + 3)
3x + 2
4f + d: Where f = 4, and d = 8
24
A term that does not contain a variable but are whole numbers. Example 5x + 5. It is the number 5.
Constant
3(-4x + 8)
-12x + 24
5x + 4 + 9x
14x + 4
(4x + 8) + (7x + 3)
11x + 11
10 (e + 7); Where e = 3.
100
A number, a variable, or a product or quotient of numbers and variables.
Term
6(5 - q)
30 - 6q
3 + 2d + 3d
3 + 5d
(11x - 8) + 7(x - 1)
18x - 15
2 (d + 9); Where d = 8
34
To multiply a sum by a number, multiply each addend of the sum by the number outside the parentheses. For any numbers a, b, c. a(b + c) = ab + ac.
Distributive Property
(5 - 7) (-3)
6
3x + (-4x) + 3 + 4
-x + 7
2(x + 14) + (2x - 14)
4x + 14
The expression 5n + 2 can be used to find the total cost in dollars of bowling where n is the number of games bowled and 2 represents the cost of shoe rental How much will it cost Jeff to bowl 3 games?
$17
Two or more equations with the same solution.
Equivalent equations
1/2 (c - 8)
1/2c - 4
You like x different magazines. Your friend likes two fewer then you. Write an expression for the problem.
x - 2
(-5x + 4) + -1(x - 1)
-6x + 5
Sara wants to buy a sweater that costs $38, sunglasses that costs $14, a pair of jeans that costs $22, and a T-shirt that costs $16. What is the total cost of the items.
$90