Goal: I will be able to
Tool Bag
Formulas, equations,
Vocabulary, etc.
Given the
Expression:
Vocabulary:
Term
Constant
Variable
Coefficient
Like Terms
combine like terms in an expression.
Here’s How…Notes & Examples
Constant
7x + 5 – 3y + 2x
Coefficients
Variables
A number, a variable, or a product of a number
and variable. e.g. 7x, 5, 3y, and 2x
A number that does not change.
A letter that represents an unknown quantity.
A number that is multiplied by a variable in an
expression.
Terms that can be grouped together because
they have the same variable raised to the
same power.
Example 1 3x + 5x
3x + 5x
8x
Example 2 5m – 2m + 3 – 4m + 6
5m – 2m + 3 – 4m + 6
5m – 2m – 4m + 3 + 6
–m + 9
Example 3
7a + 4a + 3b + 5
7a + 4a + 3b + 5
11a + 3b + 5
Example 4
6(y + 8) – 5y
6y + 6(8) – 5y
6y + 48 – 5y
6y – 5y + 48
y + 48
Identify like terms.
(terms with same variable)
Combine like terms.
Identify like terms.
Commutative Prop of Add.
Combine like terms.
Identify like terms.
Combine like terms.
Distributive Prop of Add.
Identify like terms.
Commutative Prop of Add.
Combine like terms.
You Try
Simplify the following, then verify using the
value given.
1) 14a – 5a
for a = 2
2) 9x + 3y – 2x + 5
for x = 1, y = 2
3) 6(5 + n) – 2n
for n = 3
4) 4n – (6 - 2n)
for n = 2
You Try
Simplify the following, then verify using the
value given.
1) 4a – (5 + a)
for a = 3
2) –2(3x) + 3(4x)
for x =
1
2
3) 6(2n) – 3(2n)
for n =
1
3
4) 48n ÷ 4n
for n = 2