Algebra is writing mathematical phrases using letters to represent numbers and needs the following to make it algebra:

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

Examples:

*n*/3=5, 2

*x*=8, etc.

Constant - the integer in an algebraic equation or expression.

Examples: 73 -

*a*= 70, 53

*g*= 106, etc.

Expression - pattern - many answers

Examples: 1 +

*m,*2

*f,*etc.

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

*h*+ 100= 170, -5

*j*= -25, etc.

- isolate variable
- cancel using opposite
- balance - do the same operation on the other side of equal sign (=)
- verify to check (equality)

Sounds easy right? So here are some questions to see if you really know what you're doing is correct. Refer to the rules or steps above if you forget. Good luck!

* Remember that a rectangular *x algebra tile, green (positive) or white (negative) *has no value. *x *only represents an unknown number, but each square algebra tile represents a positive (green) or a negative (white) one. Also don't ever use algebra tiles to verify your answer.

Solving One-Step Equations

Question #1

3 + *x= 5*

3 -3 + *x= 5 -3 *

*x =* 2

3 + *x = *5

3 + 2= 5

5 = 5

Question #2

*n - 7 = 5*

*n - 7 + 7= 5 + 7*

*n = 12*

*n - 7 = 5*

*12 - 7= 5*

*5 = 5*

Question #3

3*x - *2 = 16

3*x *- 2 + 2= 16 +2

3*x = 18*

3*x /3= *18/3

*x = 6*

*3x *-2 = 16

*3(6) - 2= 16*

*18 - 2 = 16*

*16 = 16*

*x/*2 + 1= 2

*x/*2 + 1 - 1= 2 - 1

*x/2*= 1

*x/2*x 2 = 1 x 2

*x = 2*

*x/2*+ 1= 2

- Wired Math a site that consists of Grade 8 math including solving algebraic equations
- Math Goodies a site with all types of math information
- Khan Academy a site that has everything involving math including video tutorials

Solving One-Step Equations Video - Khan Academy

Solving Two-Step Equations Video

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