Download Section 1-1: Variables and Expressions

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Section 1-1: Variables and
Expressions
PEARSON
COMMON CORE
ALGEBRA I
I am learning to…
 Write algebraic expressions.
Vocabulary
 Quantity- anything that can be measured or counted.
 Variable- symbol, usually a letter, that represents the
value(s) of a variable quantity.
 Algebraic Expression-mathematical phrase that
includes one or more variables.
 Numerical Expression- a mathematical phrase
involving numbers and operation symbols, but no
variables.
Useful Table to help you Translate Algebraic
Expressions
Operation
Key Words
Subtraction
Less, difference, minus
Multiplication
Per, times, product
Division
Quotient, ratio
Addition
sum, more
Example 1: Writing Expressions with Addition
and Subtraction
 The difference of m and 6
 6 less than n
 15 more than m
Example 2: Writing Expressions with
Multiplication and Division
 The product of 7 and a number n
 9 times a number m
 The quotient of a number x and 7
Example 3: Writing Expressions with Two
Operations
 8 more than three times a number n
 The product of 7 and the sum of a number n and 8
 7 less than the product of 8 and a number y
Example 4: Using Words for an Expression
 K+6
 5x + 8
 9x - 8
Example 5: Writing a Rule to Describe a Pattern
 A state park charges an entrance fee plus $18 for
each night of camping. The table shows this
relationship. What algebraic expression describes the
total cost of camping n nights?
Nights
1
2
3
n
Total Cost
($18 x 1) + $20
($18 x 2) + $20
($18 x 3) + $20
?
Homework
 Exit Slip: Write an algebraic expression for the
following word phrase: 17 less than h
 Page 7 #’s 10-32 even