Evaluating Algebraic Expressions Flashcards

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Questions and Answers

What is a variable?

A fixed numerical value

An algebraic expression with no variables

A mathematical operation

A letter that represents a value that can change or vary (correct)

What is a coefficient?

The number that is multiplied by the variable in an algebraic expression.

Define an algebraic expression.

An expression that has one or more variables.

What is a constant?

A value that does not change. Signup and view all the answers

What does it mean to evaluate an expression?

To find the value of a numerical or algebraic expression. Signup and view all the answers

What does it mean to substitute in algebra?

To replace a variable with a number or another expression in an algebraic expression. Signup and view all the answers

What is absolute value?

The distance of a number from 0 on the number line. Signup and view all the answers

Define integers.

The set of whole numbers and their opposites. Signup and view all the answers

What is an equation?

A mathematical sentence that uses an equal sign to show that two expressions have the same value. Signup and view all the answers

What is an inequality?

A statement that compares two quantities using <, ≤, ≥. Signup and view all the answers

What are inverse operations?

Operations that undo each other: addition and subtraction, or multiplication and division. Signup and view all the answers

What are opposites in mathematics?

Two numbers that are the same distance from 0, but on opposite sides of 0. Signup and view all the answers

The absolute value of -5 is ___

5 Signup and view all the answers

An example of a constant is ___

3 Signup and view all the answers

An example of an equation is ___

x + 3 = 9 Signup and view all the answers

An example of an inequality is ___

5 < 8 Signup and view all the answers

An example of an integer is ___

-1 Signup and view all the answers

An example of an inverse operation is ___

5 + 3 = 8; 8 − 3 = 5 Signup and view all the answers

Match the following terms with their definitions:

Coefficient = The number that is multiplied by the variable Variable = A letter that represents a value that can change Absolute value = The distance of a number from 0 on the number line Equation = A mathematical sentence that shows two expressions are equal Signup and view all the answers

Study Notes

Vocabulary in Algebra

Variable: A letter that symbolizes a value that can change, essential for forming algebraic expressions.
Coefficient: The numerical factor multiplied with a variable in an expression, crucial for determining the expression's value.
Algebraic Expression: Composed of one or more variables, it represents mathematical relationships without an equality sign.
Constant: A fixed value that remains unchanged in calculations, such as 3, 0, or -1.

Mathematical Operations and Concepts

Evaluate: The process of calculating the numerical value of an expression, either algebraic or numerical.
Substitute: The method of replacing a variable within an expression with a specific number or another expression to simplify or solve it.
Absolute Value: Represents the distance of a number from zero on a number line, always a non-negative number; for instance, |-5| = 5.

Types of Numbers

Integers: The set of whole numbers, including positive numbers, negative numbers, and zero, such as -3, -2, -1, 0, 1, 2, 3.

Equations and Inequalities

Equation: A mathematical statement that equates two expressions, using an equal sign; for example, x + 3 = 9 shows equality between two values.
Inequality: A comparison of two quantities using inequality symbols (<, ≤, ≥), indicating that one quantity is greater or less than another, such as 5 < 8.

Operations and Their Relationships

Inverse Operation: Operations that reverse each other; addition and subtraction are inverses, as are multiplication and division; they are fundamental in solving equations.
Opposites: Two numbers equidistant from zero on the number line, found on opposite sides; for example, 5 and -5 are opposites (additive inverses).

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Description

Test your knowledge on key concepts in evaluating algebraic expressions with these flashcards. Each card covers fundamental terms including variables, coefficients, and constants, providing definitions to enhance your understanding of algebra. Perfect for students looking to solidify their algebra skills.