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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
Isolate the variable. n+3=7
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
Isolate the variable
Cancel using the opposite
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
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