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1. Review of Real Numbers(0)

Simplifying Fractions
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Evaluating Exponents
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Evaluating Expressions
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Translating Phrases to Expressions
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Translating Sentences to Equations
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The Distributive Property
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Simplifying Expressions
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2. Linear Equations and Inequalities(0)

The Addition and Subtraction Properties of Equality
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The Multiplication and Division Properties of Equality
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Solving Linear Equations
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Linear Inequalities in One Variable
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3. Solving Word Problems(0)

Introduction to Problem Solving
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Formulas
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Percent Problem Solving
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Mixture Problem Solving
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4. Graphing Linear Equations in Two Variables(0)

The Rectangular Coordinate System
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Graph Linear Equations in Two Variables
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Graph Linear Equations Using Intercepts
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Slope of a Line
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Slope-Intercept Form
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Point Slope Form
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5. Systems of Linear Equations(0)

Solving Systems of Linear Equations by Graphing
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Solving Systems of Linear Equations by Substitution
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Solving Systems of Linear Equations by Elimination
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6. Exponents and Polynomials(0)

The Product Rule
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The Quotient Rule
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Intro to the Power Rules
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The Power of a Quotient Rule
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Negative Exponents
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Simplifying Exponential Expressions Using All Exponent Rules
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Intro to Polynomials
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Adding and Subtracting Polynomials
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Multiplying Polynomials
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Special Products
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7. Factoring(0)

Factoring by Greatest Common Factor & Grouping
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Factoring Trinomials of the Form x² + bx + c
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Factoring Trinomials of the Form ax² + bx + c
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Factoring Special Products
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Quadratic Equations & Applications
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8. Rational Expressions and Equations(0)

Simplifying Rational Expressions
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Multiplying and Dividing Rational Expressions
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Adding and Subtracting Rational Expressions with Common Denominators
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Least Common Denominators
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Adding and Subtracting Rational Expressions with Different Denominators
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Rational Equations
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9. Inequalities and Absolute Value(0)

Set Operations and Compound Inequalities
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Absolute Value Inequalities
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Linear Inequalities in Two Variables
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Systems of Linear Inequalities
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Introduction to Relations and Functions
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Function Notation
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Graphing Common Functions
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Composition of Functions
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Direct & Inverse Variation
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11. Roots, Radicals, and Complex Numbers(0)

Introduction to Radical Expressions
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Simplifying Radical Expressions
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Introduction to Complex Numbers
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Multiplying and Dividing Complex Numbers
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The Square Root Property
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Completing the Square
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The Quadratic Formula
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13. Inverse, Exponential, & Logarithmic Functions(0)

Introduction to Inverse Functions
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Exponential Functions
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Introduction to Logarithmic Functions
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Properties of Logarithms
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Graphing Circles
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Ellipses
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Parabolas
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Hyperbolas
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15. Sequences, Series, and the Binomial Theorem(0)

Introduction to Sequences
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Factorials
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15. Sequences, Series, and the Binomial Theorem

Factorials

15. Sequences, Series, and the Binomial Theorem

Factorials: 동영상 및 연습문제

비디오 강의 실무 워크시트

28 문제점

문제 1객관식

Which statement best defines $n!$ ( $n$ factorial)?

문제 2객관식

Which explanation correctly justifies why $0 factorial equals 1$ using the recursive identity $n! = n \cdot (n - 1)!$ ?

문제 3객관식

Express $7 factorial$ in terms of $5 factorial$ using the recursive identity.

문제 4객관식

Simplify $the fraction with numerator 100 factorial and denominator 99 factorial$ .

문제 5객관식

Which equality is always true for a positive integer m?

문제 6객관식

Compute $the fraction with numerator 12 factorial and denominator 10 factorial$ by choosing the most efficient strategy.

문제 7객관식

Which list correctly gives the values of $0 factorial$ , $1 factorial$ , and $2 factorial$ in that order?

문제 8객관식

How many distinct linear arrangements (permutations) are there of $6$ distinct books placed on a shelf?

문제 9객관식

Which method gives the quickest way to evaluate $the fraction with numerator 15 factorial and denominator 13 factorial$ ?

문제 10객관식

Simplify $\frac{(n + 2)!}{n!}$ for a positive integer $n$ . Express your answer in the simplest multiplicative form.

문제 11객관식

Evaluate the expression $3! \cdot 2 + 4$ .

문제 12객관식

Evaluate $4 times 3 factorial$ .

문제 13객관식

Which of the following best describes what $6 factorial$ counts when interpreted as permutations?

문제 14객관식

A lottery requires arranging $7$ uniquely numbered balls in an order to win. What is the probability that a single random arrangement matches the winning arrangement?

문제 15객관식

Which argument best evaluates the following claim: " $0 factorial$ must be $1$ because assigning any other value would break the identity $n! = n \cdot (n - 1)!$ for $n equals 1$ "?

문제 16객관식

Simplify the expression $\frac{(m + 3)!}{m!}$ for integer $m is greater than or equal to 0$ .

문제 17객관식

Compute $\frac{10!}{2 \cdot 8!}$ .

문제 18객관식

Which of the following gives $2 factorial$ , $3 factorial$ , and $4 factorial$ , respectively?

문제 19객관식

Solve for $n$ : $n! = 6 \cdot (n - 1)!$

문제 20객관식

For an integer $n is greater than or equal to 3$ , simplify the expression $\frac{n!}{(n - 3)!}$ .

문제 21객관식

Simplify $\frac{(n + 4)!}{(n + 1)!}$ , where $n is greater than or equal to 0$ .

문제 22객관식

Calculate $\frac{(2 + 3)!}{5}$ .

문제 23객관식

How many ordered selections (permutations) are there if $3$ students are chosen and arranged in order from a class of $10$ students? Express using factorial notation and compute the value.

문제 24객관식

Given the identity $1! = 1 \cdot 0!$ and the known value $1 factorial equals 1$ , what logical conclusion and justification follows?

문제 25객관식

A student calculates $3 factorial positive 4 factorial$ as $open paren 3 plus 4 close paren factorial$ and obtains $5040$ . Identify the error and give the correct value of $3 factorial positive 4 factorial$ .

문제 26객관식

Compute $the fraction with numerator 8 factorial and denominator 6 factorial$ .

문제 27객관식

A committee of $4$ is to be chosen from $10$ people where order matters for roles (chair, secretary, treasurer, member). Which factorial expression models the number of possible role assignments, and what is the numeric total?

문제 28객관식

Which of these is an algebraic simplification of $(n + 2)! - n!$ for integer $n is greater than or equal to 0$ ?