Expressions powerpoint
-
Upload
annie-cox -
Category
Technology
-
view
6.565 -
download
0
description
Transcript of Expressions powerpoint
![Page 1: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/1.jpg)
Translating variable expressions
![Page 2: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/2.jpg)
What is the area of a rectangle?
Length times WidthIf 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.
![Page 3: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/3.jpg)
An algebraic expression contains:
1) one or more numbers or variables, and2) one or more arithmetic operations.
Examples:x - 3
3 • 2n4 1m
![Page 4: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/4.jpg)
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?
![Page 5: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/5.jpg)
Division, on the other hand, is written as:
1)
2) x ÷ 3
x3
![Page 6: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/6.jpg)
Throughout this year, you will hear many words that mean addition, subtraction,
multiplication, and division. Complete the table with as many as you know.
Addition Subtraction Multiplication Division
![Page 7: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/7.jpg)
Here are some phrases you may have listed. The terms with * are ones that are often
used.Addition Subtraction Multiplication Divisionsum* difference* product* quotient*increase decrease times dividedplus minus multiplied ratioadd subtractmore than less thantotal
![Page 8: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/8.jpg)
Write an algebraic expression for
1) m increased by 5.m + 5
2) 7 times the product of x and t.7xt or 7(x)(t) or 7 • x • t
![Page 9: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/9.jpg)
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.
12x
![Page 10: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/10.jpg)
Which of the following expressions represents 7 times a number decreased by 13?
1. 7x + 132. 7x - 133. 13 - 7x4. 13 + 7x
Answer Now
![Page 11: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/11.jpg)
Which one of the following expressions represents 28 less than three times a number? 1. 28 - 3x2. 3x - 283. 28 + 3x4. 3x + 28
Answer Now
![Page 12: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/12.jpg)
Write a verbal expression for:
1) 8 + a.
The ratio of m to rDo you have a different way of writing these?
The sum of 8 and a2)
mr
.
![Page 13: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/13.jpg)
Which of the following verbal expressions represents 2x + 9?
Answer Now
1. 9 increased by twice a number2. a number increased by nine3. twice a number decreased by 94. 9 less than twice a number
![Page 14: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/14.jpg)
Which of the following expressions represents the sum of 16 and five times a number?
Answer Now
1. 5x - 162. 16x + 53. 16 + 5x4. 16 - 5x
![Page 15: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/15.jpg)
baseand 3 is called the
exponent or power.103 means 10 • 10 • 10
103 = 1000
When looking at the expression 103, 10 is called the
![Page 16: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/16.jpg)
How is it said?21
Two to the first power22
Two to the second power or two squared23
Two to the third power or two cubed2n7
Two times n to the seventh power
![Page 17: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/17.jpg)
Which of the following verbal expressions represents x2 + 2x?
Answer Now
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
![Page 18: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/18.jpg)
Which of the following expressions represents four less than the cube of a
number?
Answer Now
1. 4 – x3
2. 4 – 3x3. 3x – 44. x3 – 4
![Page 19: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/19.jpg)
Evaluate.21
222
2 • 2 = 423
2 • 2 • 2 = 82n7
We can’t evaluate because we don’t know what n equals to!!
![Page 20: Expressions powerpoint](https://reader036.fdocuments.in/reader036/viewer/2022082915/5472dd1fb4af9f9d0a8b509e/html5/thumbnails/20.jpg)
Is 35 the same as 53?Evaluate each and find out!
35 = 3 • 3 • 3 • 3 • 3 = 24353 = 5 • 5 • 5 = 125
243 ≠ 125 They are not the same!