Today's Tutoring Session: Pre-Algebra and Algebra for Middle Grades

Today's Hornets tutoring session went very well.  We covered the following Pre-Algebra and Algebra topics:

1.  Evaluating Variable Expressions
2.  Evaluating Algebraic Equations

Example for Variable Expressions:

Evaluate each using the values given.

8(x - y); use x = 5, and y = 2

Step 1:  substitute values given in place of variables:

8(5 - 2)

Step 2:  Solve Expression:

8(3) = 24

Example for Algebraic Equations:

3x - 4 = 8
     +4   +4
_________
3x    = 12

3x    = 12
 3         3

  x = 4

To solve an equation having a variable with a number in front of it (form ax + b = c), first get the variable term by itself on one side of the equation (equals sign).  To do this, add or subtract b (4 in the above equation).  Then, solve as a one-step equation (divide both sides by the number that is in front of the variable.  This cancels out the number, leaving the variable by itself).  Solve the equation.