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Domain and Range of Functions: Mastering Key Concepts

CLEP College Algebra: Master Core Concepts & Skills

Adding and Subtracting Integers

Introduction to integer addition

Adding 1-digit integers

Opposite Integers — Up to 10

Adding integers

Adding 2-digit integers

Introduction to integer subtraction

Integer Subtraction — Missing Value

Subtracting 1-digit integers

Subtracting integers

Subtracting 2-digit integers

Application of integer operations

Application of Integer Operations – Word Problem

Application of Integer Operations  – Word Problem

Multiplying and Dividing Integers

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Multiplying integers

Multiplying 1-digit Integers

Multiplying 2-Digit Integers

Multiplying 1 and 2 Digit Integers

Multiplying 1-digit integers Mixed Sign

Dividing integers

Dividing by 1-Digit Integers

Dividing by 2-Digit Integers

Dividing by 1-Digit Integers Mixed Sign

Dividing by 2-Digit Integers Mixed Sign

Order of operations (PEMADS)

Mixed Operations with Decimals

Mixed Operations

Identify the Order of Operations

Order of Operations — Word Problem

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Primes and Common Factors

Prime factorization

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Greatest Common Factors (GCF)

Greatest Common Factor 2 Numbers

Greatest common factors (GCF)

Greatest Common Factor 2 Numbers – Word Problem

Least Common Multiple (LCM)

Least common multiple (LCM)

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Fractions

Multiplying proper fractions

Multiply Proper Fractions — 1 Digit Fractions

Dividing fractions and mixed numbers

Divide Fractions and Mixed Numbers – Word Problem

Dividing Mixed numbers

Dividing Mixed Numbers

Adding fractions with like denominators

Adding Fractions — with like denominators — 3-digit without simplifying

Adding Fractions — with like denominators — 3-digit

Adding Fractions — Word problem: baking

Add fractions with like denominator

Adding Fractions — with like denominators — 1-digit

Adding Fractions — with like denominators — 2-digit

Adding Fractions — Word problem: beads

Subtracting fractions with like denominators

Subtract fractions with like denominator

Subtracting Fractions — with like denominators — 2-digit

Subtracting Fractions — with like denominators — Larger 2-digit

Subtracting Fractions — with like denominators — 3 digit

Subtracting fractions — Word problem: competition

Subtracting fractions — Word problem: snack

Adding and subtracting fractions with unlike denominators

Adding and Subtracting Fractions — Find the lowest common denominator (LCD)

Adding and Subtracting Fractions — Find the LCD and evaluate

Add fractions with unlike denominator

Subtract fractions with unlike denominator

Adding and Subtracting Fractions — Word problem: cargo ship

Adding Fractions — with unlike denominators

Subtracting Fractions — with unlike denominators

Decimals

Rational vs. Irrational numbers

Scientific notation

Adding and subtracting decimal numbers

Subtracting Decimals — Data Table

Ordering Decimals — Data Table

Decimals – Word Problem

Adding Decimals

Subtracting Decimals

Multiplying decimal numbers

Multiplying Decimals

Dividing decimal numbers

Dividing Decimals

Expressions and Equations

Adding and subtracting polynomials

Multiplying polynomials by monomials

Multiply a polynomial by a monomial

Solving linear equations using multiplication and division

Two-step Linear Equations LHS

Two-step Linear Equations RHS

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations with variables on both sides

Patterns

Patterns — Word Problem

Solving one - step equations: x + a = b

1-step Equations

1-step Equations — Word Problem

Introduction to Equations

Money related questions in linear equations

Applications of polynomial functions

Evaluating algebraic expressions

Evaluating Algebraic Expressions

Solving literal equations

Absolute Value and Equations

Absolute value functions

Expressing an Absolute Value Linear Function as a Piecewise Function

Expressing an Absolute Value Quadratic Function as a Piecewise Function

Solving absolute value equations

Solving absolute value inequalities

Solving Absolute Value Inequalities Involving "less than"

Solving Absolute Value Inequalities Involving "greater than"

Recognizing Absolute Value Inequalities with "No Solution" or "All Real Numbers"

Graphing Inequalities

Express linear inequalities graphically and algebraically

Graph the Inequality

Linear Inequalities – Word Problem 

Linear inequalities

Solving one-step linear inequalities

One-step Linear Inequalities

One-step linear inequalities

One-step Linear Inequalities Decimal

One-step Linear Inequalities Decimal with Fraction

One-step Linear Inequalities Fraction

Solve One Step Linear Inequalities Find Solution– Word Problem

One-step Linear Inequalities — Word Problem

Solving multi-step linear inequalities

Multi-step Linear Inequalities

Two-step Linear Inequalities

Multi-step linear inequalities

Two-step linear inequalities

Solve Multi-step Linear Inequalities – Word Problem 

Solve Multi Step Linear Inequalities Solve Equation – Word Problem

Solve Multi Step Linear Inequalities Equation – Word Problem

Graphing linear inequalities in two variables

Linear Equations

Slope equation: \(m = \frac{y_2-y_1}{x_2- x_1}\)

Slope equation: <katex>m = \frac{y_2-y_1}{x_2- x_1}</katex>

General form: Ax + By + C = 0

Point-slope form: \(y - y_1 = m (x - x_1)\)

Word problems of graphing linear functions

Rate of change

Parallel and perpendicular lines in linear functions

Graphing Functions

Domain and range of a function

Identifying functions

Graphing linear functions using x- and y-intercepts

Function notation

Determining number of solutions to linear equations

Solving systems of linear equations by graphing

Using elimination method to solve systems of equations

Solving systems of linear equations by elimination

Using substitution method to solve systems of equations

Solving systems of linear equations by substitution

Exponents and Multiplying Polynomials

Solving linear equations using distributive property:&nbsp;a(x + b) = c

Solving linear equations using distributive property: a(x + b) = c

Exponents: Product rule (a^x)(a^y) = a^(x+y)

Exponents: Product rule (a^x)(a^y) = a^(x+y)

Exponents: Division rule (a^x / a^y) = a^(x-y)

CLEP College Algebra

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