Monday, May 9, 2011

Leea's Algebra Post

Algebra- writing mathematical phrases using letters to represent numbers

Variable- a letter that represents a number in an algebra equation or expression

Constant- integer in an algebra expression or equation

Equation- only has one answer and has an equal sign (=)

Expression
- has a pattern, many answers

1) Isolate the variable
2) Cancel the constant using zero pair
3) Balance - d
o the same operation
on the other side of equal sign (=)
4)Verify to c
heck

Green (positive) or White (negative)

Solving One-Step Equations:

Question#1

Sunday, May 8, 2011

Kim's Algebra Post

Variable - a letter that represents a number in an equation or expression. ex. n+6=14
Constant - the integer in an algebraic expression or equation. ex. n-10=7
Expression - pattern- many answers. ex. 2x
Equation - only has one answer, has an equal sign. ex. 2x=6

One-Step Equations

Steps:

1) Isolate the variable.
2) Cancel using the opposite
-constant is cancelled with zero pair
3) Balance - do the same operation on the other side of the = sign.
4) Verify to check.

Subtraction Question

Multiplication Question

Division Question

Algebra Tiles

- Isolate the variable
- Cancel the constant using zero pair
- Balance - do it to the other side
- Verify to check

Subtraction

Multiplication

Division

Two-Step Equations

Steps:

1) Isolate the variable.
2) Cancel the constant.
3) Balance.
4) Simplify the variable.
5) Balance.
6) Verify.

Verify to check.

Using Algebra Tiles To Solve Two Step Equations

Algebra Tiles

Here's links for one-step and two-step equations.

One-step Equations Video

Two-step Equations Video

Shane's Algebra Post

Algebra - Writing mathematical phrases using letters to represent numbers.
Example: n+6=14
x-6=3
Variable - a letter that represents a number in an equation or expression
Example: a+11=20
Constant = the integer in an algebraic expression or equation
Example: 18+m=8
Example: 3x
Equation - only has one answer and an equal (=) sign
Example: 3x=9

Solving a One Step Equation:

1st Isolate the variable
2nd Cancel the constant using zero pair
3rd Balance - do it to other side
4th Verify to check

One Step Equations and Models

Solving a Two Step Equation

1st Isolate the variable
2nd Cancel the constant
3rd Balance
4th Simplify the variable
5th Balance
6th Verify

Two Step Equations and Models

Paulo's Algebra Post

Variable - a letter that represents a number in an algebraic equation or expression
Constant - the integer in an algebraic expression or equation
Expression - pattern, many answers ex. 5x, 5x5
Equation - only has one answer, has an equal sign ex. 5x=25, 5x5=25

Steps:
1) Isolate the variable.
2) Cancel using the opposite of the number. ex. (+2)'s opposite is (-2)
3) Constant is cancelled with the zero pair.
4) Balance, do the same operation on the other side of the = sign.
5) Verify to check. (equality)

One Step Equations
x+2=2
x+[2-2]=[2-2]
x=0

Verify:
x+2=2
0+2=2
2=2

6=2x
6/2=2x/2
3=x

Verify:
6=2x
6=2(3)
6=6

Two Step Equations
7=4x+3
[7-3]=4x+[3-3]
4/4=4x/4
1=x

Verify:
7=[4x1]+3
7=[4+3]
7=7

2x+1=5
2x+[1-1]=[5-1]
2x/2=4/2
x=2

Verify:
[2x2]+1=5
[4+1]=5
5=5

Solving One Step Equations

Solving Two Step Equations

click THIS. It's very helpful (;

Anabelle's Algebra Post

Algebra
- writing mathematical phrases using letters to represent numbers

Variable- a letter that represents a number in an algebra equation or expression

Constant- integer in an algebra expression or equation

Equation- only has one answer and has an equal sign

Expression- has a pattern, many answers
_______________________________________________________

Whether we are adding, subtracting, multiplying, or dividing we start off by isolating the variable.

Let's start off with an addition problem.

v+8=26

How we isolate the variable is to make a zero pair to cancel out the constant. Try not to think of +8 as add eight, but instead think of it as positive eight. To cancel a positive eight we need a negative eight.

Remember, what we do to one side, we do to the other side.

Then what we have left is the v on one side and 18 on the other.

The same rules apply for a subtraction problem, but instead we cancel the constant with a positive integer.

The only thing left to do is verify to check.

Plug in the number in place of the letter.

Then show equality.

_______________________________________________________
Multiplying and Dividing

10n=40

To be able to isolate the variable of a multiplication problem we will divide and do the same to the other side.

Next, verify to check.

x/2= 5

Isolate variable.
Cancel using opposite.

Then, verify to check.

_______________________________________________________
Integer Tiles

Now, we will solve these problems using integer tiles.

*NEVER USE ALGEBRA TILES TO VERIFY TO CHECK

x+2=3

Start by changing the problem to what it would look like using integer chips.

Using the same concept we'll cancel the constant using zero pairs. In the case we cancel two +1 tiles using two -1 tiles. With what's left is how much the x tile is worth.

x2=6

1. Zero pair
2.Simplify

-2x=4
1. Zero pair
2.Simplify

We need to switch the final answer around by multiplying -1 on both sides.

x/2=5

When representing x you'll cut it in half .

You then add the other half making the x complete, and remember the rule of equality. You add another half then you add another set of tiles.

______________________________________________________
Solving 2 step equations

2x+1=7

1.Isolate the variable starting off with with the addition/subtraction part
2.Cancel constant
3.Balance
4.Simplify the variable
5.Balance

6.Verify

x/2+2=6

1.Isolate the variable starting off with with the addition/subtraction part
2.Cancel constant
3.Balance
4.Simplify the variable
5.Balance

6.Verify to check

If you're still having trouble have a look at this video.