# Evaluating Formulas Worksheets

How to Evaluate an Algebraic Formula - We have learned that, in an algebraic expression, letters can stand for numbers. Here are the steps for evaluating an expression: Replace each letter in the expression with the assigned value. First, replace each letter in the expression with the value that has been assigned to it. To make your calculations clear and avoid mistakes, always enclose the numbers you are substituting inside parentheses. The value that is given to a variable stays the same throughout the entire problem, even if the letter occurs more than once in the expression. However, since variables "vary", the value assigned to a particular variable can change from problem to problem, just not within a single problem. Perform the operations in the expression using the correct order of operations. Once you have substituted the value for the letter, do the operations to find the value of the expression. Do not forget to use the correct order of operations: first do any operations involving exponents, then do multiplication and division, and finally do addition and subtraction!

• ### Basic Lesson

Demonstrates how to isolate variables within algebraic expressions. Isolate the variable on one side whose value has to be determined. Replacing other variables with the given value, and putting it all together in the given algebraic expression and solving the expression.

• ### Intermediate Lesson

Explains how to work with more complex equations. Practice problems are provided. Replacing w with 92 and h with 4 and substituting them in the given expression.

• ### Independent Practice 1

Contains 20 Evaluating Formulas problems. The answers can be found below. Determine the value of the indicated variable.

• ### Independent Practice 2

Features another 20 Evaluating Formulas problems.

• ### Homework Worksheet

12 Evaluating Formulas problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Evaluating Formulas problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### The Golden Rings

There are 10 men whose job it is to make 10 - 10g gold rings. One of the men is a thief, he stole 1 g gold from each ring. The owner measures once to find the thief. He takes 1 ring from #1, 2 rings from #2, and so on, weighs them to total x and then uses 550 - x.