The first step in evaluating an algebraic expression is substituting the given values for the variables.
This means replacing each variable with the corresponding number or expression that you are given.
Here's how it works:
- Example: Evaluate the expression
2x + 3y
ifx = 4
andy = 5
. - Step 1: Substitute: Replace
x
with4
andy
with5
. This gives you2(4) + 3(5)
. - Step 2: Simplify: Follow the order of operations (PEMDAS/BODMAS) to calculate the result:
2(4) + 3(5) = 8 + 15 = 23
By substituting the values for the variables, you transform the algebraic expression into a numerical expression that you can then simplify to find the final answer.