Vocabulary
Identifying
Combining Like Terms
The Distributive Property
Simplifying Expressions (Combining Like Terms & The Distributive Property)
100
What is the definition of a constant?
A number by itself that doesn't have a variable.
100
What is the coefficient?
8c2
8
100
Simplify by combining like terms.
5a + 4b + a + 2 + 1
6a + 4b + 3
100
What operation do you use when distributing?
Multiplication
100
−5(a−6)+2a
-3a + 30
200
A letter that is used to represent an unknown number is a _________________.
Variable
200
List all the constants.
77x + 3y - 5 + x +12
-5 and 12
200
Write an expression that represents the perimeter of triangle.
Combine like terms.
6x + 15
200
Fill in the blank:
"To simplify expressions involving the distributive property, multiply every number ____________ the parenthesis by the number and sign _________ the parenthesis."
Inside, outside
200
Simplify the expression: 
-30x2 + 12x + 30
300
What is an expression?
A group of terms that includes constants, variables, and operators.
300
Identify all the variables.
7ab + 3 - 16f + 23
ab and f
300
Simplify by combining Like Terms: 3x + 6 + 8x2 - 2x + 3x2
11x2 + x + 6
300
Simplify:
6x+12
300
Simplify the Expression:
-64c2 + 20c + 56
400
The terms that contain the same variable which is raised to the same power are known as ___________.
Like Terms
400
Which terms in the expression below are like terms?
3x + 9y3 - 7xy + 2x + 8
3x and 2x
9y3
7xy
8
400
What is the simplified form of the expression.
3x - 6 - 2x - 2
x - 8
400
Simplify:
-4(-5b2 + 3 -x)
20b2 - 12 + 4x
20b2 + 4x - 12
400
Simplify the expression:
-2x + 14
500
What is a coefficient?
A number multiplied by a variable.
500
Are 18x and -8x2 like terms? Explain why or why not?
No, they have the same variables (x) but they do not have the same exponents.
500
Find the perimeter by combining like terms.
12x - 4
500
Simplify:
3(x - 2) - 2(x + 1)
x - 8
500
Mrs. Isenberg simplified the expression below. She made an error. Determine the error she made. Then simplify the expression to find the correct answer.
She forgot the variable "x" attached to the 5 after multiplying it by 2. This threw off her like terms when combining like terms.
13x + 2