Vocabulary
Combining (Addition)
Combining (Subtraction)
Combining Like Terms
(Add & Subtract Mix)
Solving Equations with Like Terms
100
In an expression, the parts being added together or subtracted. Example: 4x + 3x + 3y + 7y
What is a term?
100
8a + 15a + a + 9
What is 24a + 9
100
21b - 3b - 10 - 12b
What is 6b - 10
100
17w + 15 - 7w - 5
What is 10w + 10
100
Solve. 2x + 3x = 25
x = 5
200
Terms that contain the same variable(s) raised to the same exponent. These terms can be combined. Example: 3x + 9x or 7y + 3Y
What are like terms?
200
5x + 35 + 3x + 2
What is 8x + 37
200
12c - 6c + 30
What is 6c + 30
200
19a + 9b - 17a - 3b - 6b - 2a
What is 0
200
Solve. 4x - 3x = 46
x = 46
300
A mathematical phrase that contains numbers, operations, and/or variables (but no = sign). Example: 5x + 4y + 5 - 2x
What is an expression?
300
32 + 12t + 16t + 8
What is 28t + 40
300
5z + 55 - 26 - z
What is 4z + 29
300
5f + 6 -2f - 1f
What is 2f + 6
300
Solve. 33 = 24x - 13x
x = 3
400
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.
What is simplify?
400
6p + 32 + 16p + 2 + 4p
What is 26p + 34
400
17d + 40 - 8d - 13
What is 9d + 27
400
5r + 13q - 8q - r
What is 4r + 5q
400
Solve. 250 = 16x + x - 12x
x = 50
500
A symbol, usually a letter of the alphabet, used to represent a quantity that can change.
What is a variable?
500
m + 20n + 25m + 6n
What is 26m + 26n
500
24j + 18k - 9j - 18k - 3
What is 15j - 3
500
53t - 20r + 17 - 10t
What is 43t - 20r +17
500
Solve. 20y - 17y + 2y = 95
y = 19