You will evaluate algebraic expressions using substitution.
After completing this tutorial, you will be able to complete the following:
1. An algebraic expression is a mathematical phrase.
Algebraic expressions contain numbers, operators (add, subtract, multiply, divide), and at least one variable (such as x or y). Algebraic expressions do not have equal signs. A variable is a symbol or letter that stands for the value.
n ´ 2
2. The process of replacing those letters or variables with numerical values and simplifying is known as evaluating an algebraic expression.
3 - (1 - 2 ) Evaluate at x = 2
= 3 - 2(1 - 2 ´ 2) Replace x with 2
= 3 - 2(-3)
=3 - (-6)
3. The order of operation is used to evaluate an algebraic expression.
The order of operations refers to the process of performing one arithmetic operation over another while working on a mathematical expression. The rules are as follows:
1. Evaluate expressions inside parentheses.
2. Evaluate all powers.
3. Perform all multiplication and/or division from left to right.
4. Perform all addition and/or subtraction from left to right.
2 + (25 - 4) × 20 ÷ 2
First, do all operations inside parentheses.
2 + (21) × 20 ÷ 2
Perform all multiplication and division, from left to right.
2 + 420 ÷ 2
2 + 210
Perform all addition and subtraction, from left to right.
If these rules are not rigidly followed, the expression can produce different solutions.
|Approximate Time||20 Minutes|
|Pre-requisite Concepts||Students should be familiar with these concepts: evaluating expressions, operations on integers, order of operations, and exponents.|
|Type of Tutorial||Skills Application|
|Key Vocabulary||algebraic expression, substitution,|