# Evaluating Expressions Worksheets

How to Evaluate a Mathematical Expression - In the beginning stages of school, students often fail in understanding what a mathematical expression is and how to evaluate it. Let's try to understand first what an expression is. An expression is basically a string that includes mathematical symbols that can be replaced on either side of the equation. For instance: 2 + 2, -17 + (-1), 14 / 7. Here are a few complicated ones: (88 – 23) / 13, 100 + 2 – 3 x 17. So, now as you have understood the concept of expressions, let's learn how to evaluate these expressions. The core of the world evaluation is the word value. In other words, when something is evaluated, it means you are asked to find its value. It can also be used synonymously for terms like solving, finding or simplifying the value. When you are asked to evaluate an expression, your first step is to simplify it into single numerical value i.e. you need to find what number will this expression be equal to. For example, the expression 7 x 2 is equal to 35. Similarly, 1 + 2 + 3 + 4 = 10, is an arithmetic expression.

• ### Basic Lesson

Demonstrates how to evaluate an expression using table form. Evaluate the equation 3x – 4 for the given values of x.

• ### Intermediate Lesson

Explores how to evaluate an expression by substituting values of variables. Evaluate the formula by substituting the given values for each variable: xyz for x = 5, y = -3 and z = -1.

• ### Independent Practice 1

Example problem: Evaluate the formula by substituting the given values for each variable: (8/3)y - 2x for x = 2, y = 1. The answers can be found below.

• ### Independent Practice 2

Features another 20 Evaluating Expressions problems.

• ### Homework Worksheet

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

• ### Topic Quiz

10 Evaluating Expressions 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.

#### What Am I?

Even though I have the same name, I can be many things such as music, mathematics or cloth. I can even be an object thrown by a referee to indicate a penalty. I can be an extension of the wrapper shaped to finish the head of the cigar. In England, I'm more refined, because I can be a five-pound note. What am I? Answer: I'm a flag.