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

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