The document defines key terms in algebraic expressions: constants represent known quantities; variables represent unknown values; coefficients are numbers multiplied by variables; terms are numbers or variables combined by operations; and algebraic expressions use variables and operations. It provides examples of constants, variables, coefficients, terms, and how to evaluate and write expressions for word phrases and situations. The document also contains practice problems identifying coefficients and variables in given terms and evaluating sample expressions.

1. EXPRESS ME
ALGEBRAICALLY!!

2. Expressions
You are familiar with the following type of
numerical expressions:
12 + 6
3 (12)
6 (3 + 2)
15 - 4 (6)

3. What is a constants?
In the expression 12 + B, 12 is a constant
AA constantconstant is a number of its own that isis a number of its own that is
used to represent a known quantity.used to represent a known quantity.

4. What is a variable?
In the expression 12 + B, the letter “B” is a
variable.
AA variablevariable is a letter or symbol thatis a letter or symbol that
represents an unknown value.represents an unknown value.

5. What are coefficients?
A coefficient is the number multiplied by the
variable in an algebraic expression.
Algebraic Expression Coefficient
6m + 5 6
8r + 7m + 4 8, 7
14b - 8 14

6. What is a term?
A term is the name given to a number, a
variable, or a number and a variable
combined by multiplication or division.
Algebraic Expressions Terms
a + 2 a, 2
3m + 6n - 6 3m, 6n, - 6

7. Algebraic Expressions
When variables are used with other numbers,
parentheses, or operations, they create an
algebraic expression.
a + 2
(a) (b)
3m + 6n - 6

8. What are constants?
• A constant is a number that cannot change
its value.
In the expression: 5x + 7y - 2
the constant is - 2.

9. Evaluation
• Evaluate an algebraic expression –
To find the value of an algebraic
expression by substituting numbers
for variables.
• m + 8 m = 2 2 + 8 = 10
• r – 3 r = 5 5 – 3 = 2

10. Write Algebraic Expressions
for These Word Phrases
• A number s plus 2
• A number decrease by 1
• 31 less than a number
• A number b increased by 7
• The sum of a number & 6
• 9 more than a number
s + 2
k - 1
x - 31

11. Evaluate each algebraic
expression when x = 10
• x + 8
• x + 49
• x + x
• x - x
• x - 7
• 42 - x
18
20
0

12. Complete This Table
x x + 6
5
10
21
32
11
16
27
38

13. Write an Algebraic Expression
for These Situations
• Scott’s brother is 2 years younger than
Scott
• The sum of two numbers is 12
• The difference between two numbers is 5
s - 2
v + c = 12
m – n = 5

14. Which is the coefficient in the term
11mn?
A.
B.
C.
D.
m
n
11
m,n

15. Which is the variable in the term
215pq?
A.
B.
C.
D.
215
p
Pq
215p
q