1. Translating Words into Math

2. What is the area of a rectangle?
Length times Width
If the length is 3 meters and the width is 2 meters, what is the area?
A = L x W A = 3 x 2 = 6 meters2
A, L and W are the variables. It is any letter that represents an unknown number.

3. An algebraic expression contains:
1) one or more numbers or variables, and
2) one or more arithmetic operations.
Examples:
x - 3
3 • 2n

4. In expressions, there are many different ways to write multiplication.
1) ab
2) a • b
3) a(b) or (a)b
4) (a)(b)
5) a x b
We are not going to use the multiplication symbol any more. Why?

5. Division, on the other hand, is written as:1)
2) x ÷ 3

6. Throughout this year, you will hear many words that mean addition, subtraction, multiplication, and division. Complete the table with as many as you know.

7. Here are some phrases you may have listed. The terms with
Here are some phrases you may have listed. The terms with * are ones that are often used.

8. Write an algebraic expression for 1) m increased by 5.
2) 7 times the product of x and t.
7xt or 7(x)(t) or 7 • x • t

9. 3) 11 less than 4 times a number.
4) two more than 6 times a number.
6n + 2
5) the quotient of a number and 12.

10. Which of the following expressions represents 7 times a number decreased by 13?
Answer Now

11. Which one of the following expressions represents 28 less than three times a number?
Answer Now

12. Write a verbal expression for: 1) 8 + a.
The sum of 8 and a 2)
The ratio of m to r
Do you have a different way of writing these?

13. Which of the following verbal expressions represents 2x + 9?
9 increased by twice a number
a number increased by nine
twice a number decreased by 9
9 less than twice a number
Answer Now

14. Which of the following expressions represents the sum of 16 and five times a number?
Answer Now

15. When looking at the expression 103, 10 is called the
base
and 3 is called the
exponent or power.
103 means 10 • 10 • 10
103 = 1000

16. How is it said? 21 Two to the first power 22
Two to the second power or two squared 23
Two to the third power or two cubed
2n7
Two times n to the seventh power

17. Which of the following verbal expressions represents x2 + 2x?
the sum of a number squared and twice a number
the sum of a number and twice the number
twice a number less than the number squared
the sum of a number and twice the number squared
Answer Now

18. Which of the following expressions represents four less than the cube of a number?
Answer Now

19. We can’t evaluate because we don’t know what n equals to!!2 22
2 • 2 = 4 23
2 • 2 • 2 = 8
2n7
We can’t evaluate because we don’t know what n equals to!!

20. Is 35 the same as 53? Evaluate each and find out!
35 = 3 • 3 • 3 • 3 • 3 = 243
53 = 5 • 5 • 5 = 125
243 ≠ 125
They are not the same!

21. Thanks for coming!