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Algebra-1

You will evaluate algebraic expressions using substitution.

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After completing this tutorial, you will be able to complete the following:

- Evaluate first degree algebraic expressions in one variable by substituting positive integers for the variable and making use of the four basic operations.
- Evaluate one variable and second degree algebraic expressions involving the four basic operations by substituting positive and negative integers for the variable.
- Evaluate higher degree algebraic expressions in multiple-variables by substituting positive and negative integers for the variable and making use of the four basic operations as well as exponents.

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.

Example:

n ´ 2

2. The process of replacing those letters or variables with numerical values and simplifying is known as evaluating an algebraic expression.

Example:

3 - (1 - 2 ) Evaluate at x = 2

= 3 - 2(1 - 2 ´ 2) Replace x with 2

= 3 - 2(-3)

=3 - (-6)

=3 +6

=9

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.

Example:

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. |

Course | Algebra-1 |

Type of Tutorial | Skills Application |

Key Vocabulary | algebraic expression, substitution, |