College Algebra Vocabulary Flashcards

Questions and Answers

What is a numerical expression?

Consists of numbers and operations (correct)

A letter used to represent numbers

A mathematical sentence with an equal sign

An equation showing a relationship among quantities

What does it mean to evaluate an expression?

To find the value of an expression.

The order of operations refers to the specific order in which operations in an expression are carried out: 1. ______, 2. Exponents, 3. Multiplication and Division, 4. Addition and Subtraction.

Parentheses

What is a variable?

A letter used to represent one or more numbers. Signup and view all the answers

What is a variable expression?

It consists of numbers, variables, and operations. Signup and view all the answers

What is a power?

A number made of repeated factors. Signup and view all the answers

What does an exponent indicate?

The number of times a quantity is multiplied by itself. Signup and view all the answers

What is the base in a power?

The number that is repeatedly multiplied. Signup and view all the answers

What is an equation?

A mathematical sentence with an equal sign that shows that two expressions are equivalent. Signup and view all the answers

What does it mean to solve an equation?

Finding all the solutions of an equation. Signup and view all the answers

What is a formula?

An equation that shows a relationship among two or more quantities. Signup and view all the answers

What is perimeter?

The sum of the lengths of the sides of a polygon. Signup and view all the answers

What is area?

The number of square units needed to cover a flat surface. Signup and view all the answers

What are integers?

Positive and negative whole numbers and 0. Signup and view all the answers

What is absolute value?

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

What is the additive identity property?

The sum of a number and zero is always that number. Signup and view all the answers

What is the additive inverse property?

The sum of a number and its opposite is zero. Signup and view all the answers

What is the multiplication identity property?

The product of any number and one is that number. Signup and view all the answers

What is the mean?

The sum of the values in a data set divided by the number of values in the set. Signup and view all the answers

What is the commutative property of addition?

In a sum, you can add terms in any order. Signup and view all the answers

What is the commutative property of multiplication?

The order of the factors does not change the product. Signup and view all the answers

What is the associative property of addition?

Changing the grouping of terms will not change the sum. Signup and view all the answers

What is the associative property of multiplication?

Changing the grouping of factors will not change the product. Signup and view all the answers

What is the distributive property?

a(b + c) = ab + ac. Signup and view all the answers

What are terms in an expression?

Parts separated by addition and subtraction signs. Signup and view all the answers

What are like terms?

Terms that have identical variable parts raised to the same power. Signup and view all the answers

What is a coefficient?

A number in front of a variable. Signup and view all the answers

What is a constant?

A term that has no variable and does not change. Signup and view all the answers

What is a coordinate plane?

A plane divided into four regions by the x-axis and y-axis. Signup and view all the answers

What is an ordered pair?

A pair of numbers (x, y) indicating the position of a point on a coordinate plane. Signup and view all the answers

What is a quadrant?

One of four sections of the coordinate plane. Signup and view all the answers

What are inverse operations?

Operations that undo each other. Signup and view all the answers

What does it mean to isolate the variable?

To get a variable alone on one side of an equation. Signup and view all the answers

What are equivalent equations?

Equations that have the same solution. Signup and view all the answers

What is the base of a triangle?

The bottom side of a triangle. Signup and view all the answers

What is height in the context of a triangle?

The perpendicular distance from the base of a triangle to the opposite vertex. Signup and view all the answers

What is an inequality?

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

What are equivalent inequalities?

Inequalities that have the same solution. Signup and view all the answers

What is a prime number?

A whole number that has exactly two factors, 1 and itself. Signup and view all the answers

Study Notes

Numerical Expressions and Operations

A numerical expression consists of numbers and operations.
To evaluate an expression is to find its value.
Follow the order of operations for evaluations: parentheses, exponents, multiplication and division, addition and subtraction.

Variables and Expressions

A variable is a letter representing one or more numbers.
A variable expression contains numbers, variables, and operations.
Like terms are terms with identical variable parts raised to the same power.

Powers and Roots

A power is a number formed by repeated multiplication of the same factor.
An exponent indicates how many times a number (the base) is multiplied by itself.
The base is the number being multiplied in a power.

Equations and Solutions

An equation is a mathematical sentence that states two expressions are equal.
Solving an equation involves finding all its solutions.
Equivalent equations have the same solution.

Geometric Concepts

Perimeter is the total length of all sides of a polygon.
The area of a shape is the number of square units needed to cover its surface.
In triangles, the base is the bottom side, while the height is the perpendicular distance from the base to the opposite vertex.

Properties and Theorems

The additive identity property states the sum of a number and zero is that number.
The additive inverse property means a number plus its opposite equals zero.
The multiplication identity property asserts that any number multiplied by one remains unchanged.
Commutative properties allow for rearranging terms or factors in addition and multiplication without affecting the result.

Statistics and Number Types

Mean is calculated by dividing the sum of values in a dataset by the number of values.
Integers include positive and negative whole numbers and zero; fractions and decimals are excluded.
An absolute value is the distance of a number from zero on the number line.

Coordinate Geometry

The coordinate plane is divided into four quadrants by the x-axis (horizontal) and y-axis (vertical).
An ordered pair (x, y) indicates a point's position on the coordinate plane.
A quadrant refers to one of the four sections of the coordinate plane.

Inequalities

An inequality compares two quantities using symbols like <, ≤, ≥, or ≠.
Equivalent inequalities have the same solution.

Prime and Composite Numbers

A prime number has exactly two factors: 1 and itself.
A composite number has more than two factors.

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Description

This quiz features essential vocabulary for College Algebra. Each card provides a word along with its definition, helping students build a solid foundation in algebraic concepts. Ideal for review and self-assessment of key terms.