Vocabulary
In an expression, the parts being added together or subtracted. Example: 4x + 3x + 3y + 7y
Terms
Simplify 8a + 15a + a
24a
Evaluate 3(4 + b), when b = 8
36
-15j - 18k - 24j - 18k
-39j - 36k
Like Terms OR Not Like Terms 7x + 7
NOT Like Terms
Terms that contain the same variable(s) raised to the same exponent. These terms can be combined.
Example: 3x2 + 9x2 or 7xy + 3yx
Like Terms
Simplify m + 20n + 25m - 6n
26m + 14n
Evaluate 3 + 8a - 4b when a = 2 and b = 6
-5
Evaluate q3 / 4 when q = 6
54
Like Terms OR Not Like Terms 3x - 4x + x
Like Terms
A mathematical phrase that contains numbers, operations, and/or variables (but no = sign). Example: 5x + 4y + 5 - 2x
Expression
Simplify 21b - 11b + 10 - 12b
10 - 2b
Evaluate b(3d + c) + 15 when
b = 5, c = 4 and d = 6
125
If 6x = 36, what is the value of x
x = 2
Like Terms OR NOT Like Terms 3x + 2y + 2xy
NOT Like Terms
To perform all indicated operations, including combining like terms. When you do this you do not always get a number answer like 25 or 10 or -1. Frequently you get an expression as an answer, like 2x + 5.
Simplify
Simplify 3xy + 2x - 7yx + 9z
2x - 4xy + 9z
Evaluate 4h2 + 3h3 - 5h when h = 5
450
Simplify 6pq + (- 15pq)
-9pq
Like Terms OR Not Like Terms 3acb + 2abc + 7bac
Like Terms
To determine the value of an expression when the unknown(s) are assigned a number value and substituted into the expression.
Evaluate
Simplify 10x5 + 3x7 - 6x5
4x5 + 3x7
Evaluate 3y + x2 when x = 3 and y = -7
-12
Simplify the following expression
3ab x 5a3 + 7a4b
22a4b
Like Terms OR Not Like Terms
10xy2 -3xy + 3y3x - 4xy5
NOT Like Terms