Algebra Basics Flashcards

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Questions and Answers

What is the absolute value of -5?

-5

5 (correct)

What is a binomial?

An expression which is the sum of two terms.

What is a coefficient?

A number that comes before a variable.

What is the distributive property?

When multiplying a number by an expression in parentheses. Signup and view all the answers

What does it mean to evaluate an expression?

To find the value of an expression or to solve an equation. Signup and view all the answers

What is an exponent?

A number that tells the power to which a base is raised. Signup and view all the answers

What is a factor?

A number that divides evenly into another number. Signup and view all the answers

What does FOIL stand for in algebra?

First, Inner, Outer, Last. Signup and view all the answers

What are like terms?

Terms which have the same variable and are raised to the same power. Signup and view all the answers

What is the order of operations?

The sequence in which operations are performed in an expression. Signup and view all the answers

What does PEMDAS stand for?

Parentheses, Exponent, Multiplication/Division, Addition/Subtraction. Signup and view all the answers

What is place value?

The number that a digit stands for in a given position. Signup and view all the answers

What is a polynomial?

An expression made of multiple terms. Signup and view all the answers

What is a power?

A product of identical factors. Signup and view all the answers

What is scientific notation?

An expression of a number written as $10^n$. Signup and view all the answers

What does it mean to simplify an expression?

To perform all the operations possible within the expression. Signup and view all the answers

What is a square root?

A number that produces a specified quantity when multiplied by itself. Signup and view all the answers

What is a term in algebra?

A number, variable, or the product/quotient of numbers and variables. Signup and view all the answers

What is an unknown or variable?

A symbol that represents a solution to an equation. Signup and view all the answers

Study Notes

Algebra Basics

Absolute Value: Distance from a number to zero on the number line, represented as |n|, always yields a positive outcome regardless if n is positive or negative.
Binomial: An algebraic expression composed of two terms, such as 4x + x³.
Coefficient: A numerical factor preceding a variable in an expression, for example, in 2x, the coefficient is 2.
Distributive Property: A method of multiplying a number by an expression in parentheses, exemplified as 2(x+y) = 2x + 2y.
Evaluate: The process of calculating the value of an expression or solving an equation.
Exponent: Indicates the power to which a base is raised, representing the number of times the base is multiplied by itself.
Factor: A number that divides another number evenly; also refers to expressing a number or algebraic expression as a product of terms.
FOIL: A technique for multiplying two binomials, standing for First, Inner, Outer, Last to organize the multiplication of terms.
Like Terms: Terms sharing the same variable raised to identical powers, making them compatible for addition or subtraction.
Order of Operations: The prescribed sequence for performing operations in an expression, crucial for accurate calculations.
PEMDAS: An acronym denoting the Order of Operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
Place Value: Represents the numerical significance of a digit based on its position, for instance, in 35.6, the digit 3 indicates thirty.
Polynomials: Algebraic expressions composed of multiple terms that may include like or unlike terms.
Power: The result of multiplying a base by itself a specified number of times.
Scientific Notation: A method for expressing numbers in the form of 10^n, useful for representing very large or small values.
Simplify an Expression: To perform all possible operations within an expression, condensing it to its simplest form.
Square Root: A number that, when multiplied by itself, yields a specified quantity, e.g., the square root of 49 is 7.
Term: A single mathematical component, which may be a number, variable, or a combination thereof, such as 2, x, or 2x.
Unknown/Variable: A symbol, typically a letter, that denotes a value not yet determined in an equation.

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Description

Test your knowledge of basic algebra concepts with these flashcards. This set includes definitions for key terms like absolute value, binomial, and coefficient. Perfect for beginners looking to strengthen their foundational math skills.