Algebraic Expression - Algebra 1, Math Dictionary

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Algebra Variables Operations Expression

Algebraic Expression

Definition of Algebraic Expression

An algebraic expression is an expression that contains one or more numbers, one or more variables, and one or more arithmetic operations.

Examples of Algebraic Expression

Solved Example on Algebraic Expression

A cassette shop charges $5 for renting a video cassette for the first day. It charges $2 extra for every additional day. Which of these algebraic expressions tells you the amount that Sarah would pay if she rents a video cassette for n days?

Choices:

A. $(3 + 2n)

B. $(5n + 2)

C. $ n

D. $(5 - 2n)

Correct Answer: A

Solution:

Step 1: $5 for the first day and $2 extra for every additional day.

Step 2: Sarah would pay $5 + (n - 1) × $2 for renting a video cassette for n days.

Step 3: So, the algebraic expression that corresponds to the amount that Sarah would pay is $(3 + 2n).

Related Terms for Algebraic Expression

Variable
Expression
Operation

Additional Links for Algebraic Expression

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Browse for solved examples below on this Math Dictionary term:

GA BM Curriculum > Grade 7 > Patterns & Relationships; Algebra > 5: Expressions, Equations, Inequalities: Identifies the use of a variable as a placeholder in an algebraic expression or equation.

PA BM Curriculum > Grade 8 > Algebraic Concepts > M8.D.2.1.3: Determine the value of an algebraic expression by simplifying and/or substituting a value for the variable.

PA BM Curriculum > Grade 8 > Algebraic Concepts > M8.D.2.2.1: Match a written situation to its numeric and/or algebraic expression, equation or inequality (up to two variables in equations or expressions – one variable with inequalities).

CBSE Test Papers > Grade 7 > CBSE 7 > CBSE 7 - Rational Numbers, Exponents, Algebraic Expression, Construction of Triangles

California Assessment Curriculum - 2006 > Benchmark - Algebra II > Algebra > 6AF1.2-Write and evaluate an algebraic expression for a given situation, using up to three variables.

California Assessment Curriculum - 2006 > Grade 6 > Algebra > 6AF1.2-Write and evaluate an algebraic expression for a given situation, using up to three variables.

Michigan Assessment Curriculum - 2006 > Benchmark - Algebra II > Algebra and Functions > A.FO.06.04-Distinguish between an algebraic expression and an equation.

Michigan Assessment Curriculum - 2006 > Grade 6 > Algebra and Functions > A.FO.06.04-Distinguish between an algebraic expression and an equation.

Michigan Assessment Curriculum - 2006 > Algebra - 1 > Expressions, Equations, and Inequalities > A1.1.1-Give a verbal description of an expression that is presented in symbolic form, write an algebraic expression from a verbal description, and evaluate expressions given values of the variables.

Ohio Assessment Curriculum - 2006 > Grade 7 > Algebra and Functions > 7-Justify that two forms of an algebraic expression are equivalent, and recognize when an expression is simplified;e.g., 4m = m + m + m + m or a • 5 + 4 = 5a + 4.

New Jersey Assessment Curriculum - 2006 > Grade 8 > Algebra > 4.3.8.D.4-Create, evaluate, and simplify algebraic expressions involving variables: Order of operations, including appropriate use of parentheses. Distributive property. Substitution of a number for a variable. Translation of a verbal phrase or sentence into an algebraic expression, equation, or inequality, and vice versa.

Wisconsin Assessment Curriculum - 2006 > Grade 8 > Algebra and Patterns > F.b.5-Write an algebraic expression which generalizes a linear pattern.

Wisconsin Assessment Curriculum - 2006 > Grade 8 > Algebra and Patterns > F.b.6-Create a corresponding algebraic expression when given an arithmetic operation/relationship expressed in words.

Florida Assessment curriculum - 2006 > Grade 7 > Algebra and Patterns > MA.D.1.3.1.7.3-Given an algebraic expression of a relationship or pattern, supplies specific instances of the relationship or pattern.

New York Assessment Curriculum - 2006 > Algebra - 1 > Algebra > A.A.1-Translate a quantitative verbal phrase into an algebraic expression.

Oklahoma Assessment curriculum - 2006 > Grade 5 > Algebra and Patterns > 1.1-Describe rules that produce patterns found in tables, graphs, and models, and use variables to solve problems or to describe general rules in algebraic expression or equation form.

Tennessee Assessment Curriculum - 2006 > Grade 8 > Patterns and Algebra > 8.2.spi.2-Evaluate a first-degree algebraic expression given values for two or more variables.

Texas Assessment Curriculum - 2006 > Grade 8 > Algebra > 8.5.B-Find and evaluate an algebraic expression to determine any term in an arithmetic sequence.

Alaska Assessment Curriculum - 2006 > Grade 8 > Modeling and Solving Equations and Inequalities > [8] F&R-5-The student demonstrates algebraic thinking by translating a written phrase to an algebraic expression. (M4.3.5)

Kansas Assessment Curriculum - 2006 > Grade 7 > Computation – The student models, performs, and explains computation with rational numbers, the irrational number pi, and first-degree algebraic expressions in one variable in a variety of situations. > 1.4.2-The student performs and explains these computational procedures: a: adds and subtracts decimals from ten millions place through hundred thousandths place, b: multiplies and divides a four-digit number by a two-digit number using numbers from thousands place through thousandths place, c: multiplies and divides using numbers from thousands place through thousandths place by 10; 100; 1,000; .1; .01; .001; or single-digit multiples of each, d: adds, subtracts, multiplies, and divides fractions and expresses answers in simplest form, e: adds, subtracts, multiplies, and divides integers, f: uses order of operations using whole numbers, g: simplifies positive rational numbers raised to positive whole number powers, h: combines like terms of a first degree algebraic expression.

Kansas Assessment Curriculum - 2006 > Benchmark - Algebra II > Number Sense – The student demonstrates number sense for rational numbers and simple algebraic expressions in one variable in a variety of situations. > 1.1.5-The student uses equivalent representations for the same simple algebraic expression with understood coefficients of 1.

Kansas Assessment Curriculum - 2006 > Grade 6 > Number Sense – The student demonstrates number sense for rational numbers and simple algebraic expressions in one variable in a variety of situations. > 1.1.5-The student uses equivalent representations for the same simple algebraic expression with understood coefficients of 1.

Pennsylvania Assessment Curriculum - 2006 > Grade 8 > Algebra > M8.D.2.1.3-Determine the value of an algebraic expression by simplifying and/or substituting a value for the variable.

Pennsylvania Assessment Curriculum - 2006 > Grade 8 > Algebra > M8.D.2.2.1-Match a written situation to its numeric and/or algebraic expression, equation or inequality.

Maryland Assessment Curriculum - 2006 > Benchmark - Algebra II > Expressions, Equations, and Inequalities > 1.B.1.a-Write and evaluate expressions: Write an algebraic expression to represent unknown quantities.

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