Algebra I

1
Algebra I

• 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. Or the word Sum
• Words for subtraction, such as less than or
  decreased by. Or the word Difference.
• Words for multiplying or dividing, such as
  product of or quotient. Per is also used
  for mutliplying.
• 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?
• The product of 4 and number increased by 3

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 ms squared plus two equals fourteen

• Three times a number squared increased by two is
  the same as fourteen

13
Your Homework

• Worksheet 3-6
• Or
• Pg 124 13-37 odd, and 41-52 all

14
(No Transcript)
15
Created by

• Mr. Judd