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1. Algebra I
Lesson 1-1
Expressions and Equations

2. Expressions are:
General little statements that
DO NOT have an equals sign!
• 2x – 4
• 2m³ + 5m
• Seven less than half a number squared
• Twice the difference of a number and five

3. Equations are:
Any statement that DOES have
an equals sign (or equivalent):
• 4n + 7 = 11
• ½ b – 2 = 3
• Twice a number increased by four is ten
• The difference of a number and two is five

4. What you will be doing today:
 Writing verbal
expressions and
equations from
algebraic forms
 Writing algebraic
expressions and
equations from
verbal forms

5. What does THAT mean?
It means you will take
an expression like
3x – 5, and write it as:
“the difference of three
times a number and
five” or maybe “ five
less than three times a
number”

6. Or maybe……
If you are given the verbal sentence, you will write it
as an algebra equation or expression:
“half of a number increased by three is twelve”
would be written as : ½ x + 3 = 12

7. What will you need to know
to be able to do this?
 Words for addition, such as “more than” or
“increased by”
 Words for subtraction, such as “less than” or
“decreased by”
 Words for multiplying or dividing, such as “product
of” or “quotient”
 Words for powers of numbers, like “squared” or
“cubed”
 Words for where the equals sign goes, like ‘is” or
“is equal to” or “is the same as”

8. Warning!!
Do not use the words “plus” or “minus”
or “equals”
if at all possible !!

9. Your turn:
How would you write 4n + 3 as a verbal expression?
(you can discuss out loud with someone next to you)

10. Now try this one:
Can you write the following in algebraic form?
“3 less than a number cubed is the same as five”

11. Which ones are correct for 2m – 7:
 Twice a number less
than seven
 Seven decreased by
twice a number
 Seven less
than twice a
number
 Twice a number
decreased by seven

12. 3m² + 2 = 14 would be written:
 Two more than 3 times
a number squared is
fourteen
 Three m’s squared
plus two equals
fourteen
 Three times a
number squared
increased by two is
the same as fourteen

13. Your Homework:
Worksheet 1-1
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15. Created by:
Kelly Williams