Numeric expression: Is an expression with numbers.
Example: 45 + 34
Numeric equation: Is a numeric expression equated to zero.
Example: 45 - 45 = 0
Algebraic expression: Is an expression that contains both numeric and unknown variables.
Example: x - 5
Algebraic equation: Is an algebraic expression equated to zero. Here you can solve for the variable.
Example: x - 5 = 0
x - 5 + 5 = 0 + 5
Therefore x = 5
The following are the points to remember while solving an algebraic equation :
We can add/subtract the same number to/from both sides of an equation.
We can multiply/divide the same number to/by both sides of an equation.
We can transfer the terms from one side to the other side after changing their signs.
Example: 2x - 5 = 31 Step 1: Adding 5 both sides 2x - 5 + 5 = 31 + 5
Therefore, 2x = 36 Step 2: Dividing both sides of the equation by 2 we get
x/2 = 36/2
Therefore, x = 18
Directions: Answer the following questions. Show your work on a sheet of paper. Also write atleast 5 examples of your own.