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3-2 Simplifying Algebraic Expressions
Evaluating
Algebraic Expressions
Vocabulary
term
like term
coefficient
constant
equivalent expression
3-2 Simplifying Algebraic Expressions
In the expression below, 7x, 5, 3y, and 2x are
Evaluating Algebraic Expressions
terms.
term can be a number, a variable, or a product
of numbers and variables. They are separated
by a PLUS or MINUS sign.
Constant
Coefficients
3-2 Simplifying Algebraic Expressions
Like terms, such as 7x and 2x, can be grouped
together.
Evaluating Algebraic Expressions
coefficient is a number that is multiplied by a
variable.
constant is a number that does not change.
Equivalent expressions have the same value for
all values of the variables.
3-2 Simplifying Algebraic Expressions
Evaluating Algebraic Expressions
Combine like terms.
A. 14a – 5a
9a
Identify like terms.
B. 7y + 8 – 3y – 1 + y
Identify like terms; the
coefficient of y is 1, because
1y = y.
5y + 7
Combine coefficients: 14 – 5 = 9
Combine coefficients: 7 – 3 + 1 = 5
and 8 – 1 = 7
3-2 Simplifying Algebraic Expressions
Evaluating Algebraic Expressions
Helpful Hint
When you rearrange terms, move the
operation in front of each term with that
term.
3-2 Simplifying Algebraic Expressions
Evaluating Algebraic Expressions
Combine like terms.
9x + 3y – 2x + 5
9x + 3y – 2x + 5
7x + 3y + 5
3-2 Simplifying Algebraic Expressions
Evaluating Algebraic Expressions
Combine like terms.
5t + 7p – 3p – 2t
5t + 7p – 3p – 2t
3t + 4p
3-2 Simplifying Algebraic Expressions
Evaluating Algebraic Expressions
Combine like terms.
4m + 9n – 2
4m + 9n – 2
No like terms.
3-2 Simplifying Algebraic Expressions
Combine like terms.
Evaluating Algebraic Expressions
A. 2x + 5x – 4y + 3
2x + 5x – 4y + 3
7x – 4y + 3
B. 9d + 7c – 4d – 2c
9d + 7c – 4d – 2c
5d + 5c
C. 8g + c – 6
8g + c – 6
No like terms.
3-2 Simplifying Algebraic Expressions
Evaluating Algebraic Expressions
To simplify an expression, perform all
possible operations, including
combining like terms. You may need to
use the Associative, Commutative, or
Distributive Properties.
3-2 Simplifying Algebraic Expressions
Evaluating Algebraic Expressions
Simplify 6(5 + n) – 2n.
6(5 + n) – 2n
6(5) + 6(n) – 2n
30 + 6n – 2n
30 + 6n – 2n
30 + 4n
3-2 Simplifying Algebraic Expressions
Evaluating
Simplify
3(c + 7) Algebraic
– c.
3(c + 7) – c
3(c) + 3(7) – c
3c + 21 – c
3c + 21 – c
2c + 21
Expressions
3-2 Simplifying Algebraic Expressions
Lesson Quiz
Combine like terms.
Evaluating Algebraic Expressions
1. 3x + 4 + 2x 5x + 4
2. 13k + 6  8m + 9 + k
14k – 8m + 15
Simplify.
3. 4(3x + 6)  7x 5x + 24 4. 6(x + 5) + 3x
9x + 30
Solve.
5. The accounting department ordered 15 boxes of
pens. The marketing department ordered 9 boxes of
pens. If the total cost of the combined order was
$72, what is the price of each box of pens?
$3