Definition
Simplify an expression
Simplify an expression by rewriting it in a clearer equivalent form without solving an equation.
Continue from this idea into connected AXIO math.
Defining relationship
Tidy the form, keep the value.
Simplifying a mathematical expression rewrites it as an equivalent form using valid rules, such as calculating numerical parts, collecting like terms, removing grouping, or reducing a fraction. The expression keeps the same value for every allowed variable value.
- 1
identify like terms
- 2
combine coefficients
- 3
simpler equivalent form
- The value is preserved
- No value of x is being solved
What it means
Simplifying is tidying the mathematics without changing what it means. Combine only parts that are truly alike, carry out operations that are ready, and keep an equal expression. There is no unknown to solve unless an equation is also given.
Remember it
Tidy the form, keep the value.
Example
Simplify 3a + 5 + 2a − 1. The like terms 3a and 2a combine to 5a, while 5 − 1 = 4. The simplified expression is 5a + 4.
Watch for
The terms 5a and 4 are unlike, so they cannot be combined into 9a. A letter term and a plain number represent different kinds of parts.
Common mix-up
Simplifying rewrites an expression. Solving finds a value that makes an equation true.
Exact meaning
Simplifying a mathematical expression rewrites it as an equivalent form using valid rules, such as calculating numerical parts, collecting like terms, removing grouping, or reducing a fraction. The expression keeps the same value for every allowed variable value.