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Ian and Kristian's Algebra pages

Page history last edited by PBworks 16 years, 10 months ago

 

 go down......................to see our background information for algebra

 

 


 


 

 

 

 ALGEBRA

 

       

 

  

 

 

 


 

Our background information for algebra.


 

 

Algebra is a branch of number that deals with the general properties of numbers and the relations between them.

 

We will show you some of the information about algebra!!!!!!!!!

 

Variable is a letter or symbol that represent a quantity(number).

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An Algebraic expression has many answer.

- it shows a pattern

 eg. 2n+2

 

An algebraic equation that has only 1 answer.

 

Substitution algebra- when you use substitution algebra, replace the variable with the value and solve.

 

Recursive patterns

 figure #       # of square

 

    1                         2

    2                         4

    3                         6

    4                         8

    5                         10

 

 

 

 

Words that means + - / x

 


Adding

add

sum

total

plus

combined

addend

more than 

gain

increased

all together

 

Subtracting

subtract

minus

reduce

difference

take away

subtrahend

decreased by

less

diminnish

less than

 

Multiplying

multiply

product

multiples

factors

times

group of

sets of

number of group

exponent

times greater than

repated addition

 

Dividing

divide

quotient

percent of

divident

divisor

half of

times less than

repeated subtraction

 


 

 example of the meaning of this words.


 

three times a number=3xn

three more than a number=3+n

three decrease by a number=3/n

eight more than three times a number=3n+8

eight less than three times a number=3n/8

 


 

 Alge tiles

 

 


 

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 Adding & Subtracting


All equation solving is about BALANCE

 

Balance

  1. Isolate the variable. n+3=7
  2. Cancel a term using it's opposite

    3.   Do the same thing on the other side.

 

If an equation looks like this 5=n+2.

You can move the answer and the =sign

to the right. It could look like (n+2) = (5) n+2=5

 

Balance

  1. Isolate the variable
  2. Cancel using the opposite
  3. Balance (do it on the flip side)

    4.   Verify your answer

 

n+3-3=7-3

n=4

n+3=7

4+3=7

7=7 balance


Multiplying & Dividing                                                                                          


When you multiply or divide integers count the negative signs.

Even amount of (-) signs gives a positive amount. An odd amount

of  negative signs gives negative answers.

 

 6/-3 = -2    -6/-3 =2    6/3=2    6/3-2

 

3n= 6---3 times a number - is 6

 

n=2                                     -Balance

3n=6                                   -Isolate - cancel

3(2)=6                                using the opposite

6=6                                     -Balance

3n/3 = 6/3                          -Simplify

                                           -Verify


 

2 Step Problem


-2 times a number increased by 1 is 11

step 1-get rid of integers& balance

        1a-simplify

step 2-get rid of multiply or divide

        2a-simplify

step 3-verify

 

2n+1=11

2n+1-1=11-1

2n/2 + 1 =10/2

        n=5

2n+1=11

2(5)+1=11

10+1=11

11=11

 

 a number divided by 3 and 4 is 8

 

n/3 +4=8

n/3+4-4=8-4

3n/3=4(3)

n=12

 

verify

n/3+4=8

12/+4=8

4+4=8

8=8

 

Word Problem


1. the length of the rectngle is 5m greater than the width. the perimeter is 150m. Find the length and the width.

because rectangle have four side

W+L+W+L=the perimeter 

 

Let N be width.

 

  W-n

  L-n+5

  W-n

+L-n+5

=4n+10

 

4n+10=150

4n+10-10=150-10

4n = 140

 4       4

n= 35

 

W=35

L= w+5=40

 

2. A rectangular field has a perimeter of 370m. The length of the field is 5 m more than twice the width find the dimension of the field.

 

L+W+L+W=370

 

L=2n+5

W=n

L=2n+5

W=n

6n+10

 

let n be width

 

6n+10=370

6n+10-10=370-10

6n = 360

 6       6

n=60

 

 w=60

 L=2(60)+5=125

 W=60

 L=125

 

60+125+60+125=375m

 

Scoring Rubric


 

Information Score Total
Information is accurate 4,3,2,1  4
Provides enough information to solve needed questions 4,3,2,1  4
Does extra to enhance the background information 4,3,2,1  4
Viewability    
You want to stay and browse this site 4,3,2,1  4
The extra on this site teaches you about fractions 4,3,2,1  4
Effort    
Just enough effort 1,2  
Average effort 4,5  
Good Effort 6,7  
Above and beyond the call of duty 9,10  10
  out of 30  30

 

 our quiz

Ian and Kristian

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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