The document discusses mathematical expressions and operations such as: - Area is calculated as length times width - Variables such as A, L, and W represent unknown numbers - Expressions contain numbers, variables, and arithmetic operations - Multiplication can be shown with dots or parentheses - Terms like sum, difference, product, and quotient are used for addition, subtraction, multiplication, and division

2. 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. 1) one or more numbers or variables,
and
2) one or more arithmetic operations.
Examples:
x - 3
34 • 2n +
1
m

4. 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. 1)
x
3
2) x ÷ 3

6. Addition Subtraction Multiplication Division

7. Addition Subtraction Multiplication Division
sum* difference* product* quotient*
increase decrease times divided
plus minus multiplied ratio
add subtract
more than less than
total

8. m + 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.
4n - 11
4) two more than 6 times a number.
6n + 2
5) the quotient of a number and 12.
x/2

10. 1. 7x + 13
2. 7x - 13
3. 13 - 7x
4. 13 + 7x
Answer Now

11. 1. 28 - 3x
2. 3x - 28
3. 28 + 3x
4. 3x + 28
Answer Now

12. The sum of 8 and a
The ratio of m to r
2)
m
r
.
Do you have a different way of writing
these?

13. 1. 9 increased by twice a
number
2. a number increased by nine
3. twice a number decreased
by 9
4. 9 less than twice a number
Answer Now

14. 1. 5x - 16
2. 16x + 5
3. 16 + 5x
4. 16 - 5x
Answer Now

15. base
and 3 is called the
exponent or power.
103 means 10 • 10 • 10
103 = 1000

16. 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. 1. the sum of a number squared
and twice a number
2. the sum of a number and twice
the number
3. twice a number less than the
number squared
4. the sum of a number and twice
the number squared
Answer Now

18. 1. 4 – x3
2. 4 – 3x
3. 3x – 4
4. x3 – 4
Answer Now

19. 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. 35 = 3 • 3 • 3 • 3 • 3 = 243
53 = 5 • 5 • 5 = 125
243 ≠ 125
They are not the same!