Introduction to Evaluating, Simplifying, and Translating Algebraic Expressions
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Learning Outcomes
By the end of this section, you will be able to:- Evaluate algebraic expressions
- Identify terms, coefficients, and like terms
- Simplify expressions by combining like terms
- Translate word phrases to algebraic expressions
readiness quiz
1) [ohm_question]144735[/ohm_question] If you missed this problem, review this example:
Determine if each is an expression or an equation:
2)
[ohm_question]144745[/ohm_question]
If you missed this problem, review this example:
- [latex]16 - 6=10[/latex]
- [latex]4\cdot 2+1[/latex]
- [latex]x\div 25[/latex]
- [latex]y+8=40[/latex]
Answer:
1. [latex]16 - 6=10[/latex] | This is an equation—two expressions are connected with an equal sign. |
2. [latex]4\cdot 2+1[/latex] | This is an expression—no equal sign. |
3. [latex]x\div 25[/latex] | This is an expression—no equal sign. |
4. [latex]y+8=40[/latex] | This is an equation—two expressions are connected with an equal sign. |
Simplify: [latex]{3}^{4}[/latex].
3)
[ohm_question]144748[/ohm_question]
If you missed this problem, review the video below.
https://youtu.be/qFUvF5-w9o0
Answer:
[latex]{3}^{4}[/latex] | |
Expand the expression. | [latex]3\cdot 3\cdot 3\cdot 3[/latex] |
Multiply left to right. | [latex]9\cdot 3\cdot 3[/latex] |
[latex]27\cdot 3[/latex] | |
Multiply. | [latex]81[/latex] |
Licenses & Attributions
CC licensed content, Shared previously
- Form 1040. Authored by: Philip Taylor. Located at: https://www.flickr.com/photos/9731367@N02/6988157282/. License: CC BY: Attribution.
- Ex: Evaluate an Expression Using the Order of Operations. Authored by: James Sousa (Mathispower4u.com). License: CC BY: Attribution.
- Question ID: 144735, 144745, 144748. Authored by: Alyson Day. License: CC BY: Attribution. License terms: IMathAS Community License CC-BY + GPL.
CC licensed content, Specific attribution
- Prealgebra. Provided by: OpenStax License: CC BY: Attribution. License terms: Download for free at http://cnx.org/contents/[email protected].