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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 Equations
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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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10. Relations and Functions(0)

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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Adding and Subtracting Radicals
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Multiplying, Dividing, and Rationalizing Radicals
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Introduction to Complex Numbers
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Multiplying and Dividing Complex Numbers
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12. Quadratic Equations and Functions(0)

The Square Root Property
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Completing the Square
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The Quadratic Formula
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Graphing Quadratic Equations
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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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14. Conic Sections & Systems of Nonlinear Equations(0)

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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Arithmetic Sequences
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Geometric Sequences
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Factorials
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3. Solving Word Problems

Introduction to Problem Solving

3. Solving Word Problems

Introduction to Problem Solving: 동영상 및 연습문제

비디오 강의 실무 워크시트

20 문제점

문제 1객관식

Translate the phrase: "Seven more than twice a number is thirty-one" into an algebraic equation.

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문제 2객관식

A rectangle has length equal to three times its width. If the perimeter is 360 meters, find the rectangle's width and length.

문제 3객관식

Solve the system by substitution: 3x + 4y = 18 and y = 2x - 3. Provide exact values.

문제 4객관식

Find three consecutive integers whose sum is 237. What are the three integers?

문제 5객관식

Solve: 4(x - 2) = 3x + 5. Which value of x satisfies the equation?

문제 6객관식

A student solved a problem involving a rectangle with a perimeter of 300 m and reported the length as 120 m and the width as 30 m. Does this solution check out algebraically, and is it reasonable in context?

문제 7객관식

Alice's age, A, is 5 years more than twice Bob's age, B. Together, their ages add up to 65. Form an equation that combines both relationships and find Alice's and Bob's ages.

문제 8객관식

Which of the following pairs are consecutive even integers?

문제 9객관식

A taxi charges a flat fee of \$3 plus \$2.00 per mile. If you have a \$23 budget for the ride, how many whole miles can you afford?

문제 10객관식

Which algebraic equation matches: "Three less than twice the sum of a number and four equals eleven"?

문제 11객관식

A rectangular patio has a length that is 15 feet more than its width. If the perimeter is 242 feet, find the width and length.

문제 12객관식

Given the equations: $p = q + 4$ , $r = 2 q - 1$ , and $p + r = 50$ . Solve for the exact values of: $q$ , $p$ , and $r$ .

문제 13객관식

Two consecutive odd integers have a sum of 176. Find both integers.

문제 14객관식

Solve and check: 5x - 3(2x - 4) = 7.

문제 15객관식

Solve the system where x + y = 50 and x = 2y - 5 by synthesizing the relations into one equation. Provide exact values for x and y.

문제 16객관식

Which statement explains why the sum of two odd integers is always even?

문제 17객관식

A rectangular playground's length is 3 times its width minus 5 feet (length = 3 × width – 5). The perimeter is 290 feet. Solve for the width, then calculate the length.

문제 18객관식

Maria has \$20 more than twice what John has. Together they have \$140. How much does each person have?

문제 19객관식

Three consecutive integers are x, x+1, x+2. Determine if any integers satisfy the condition: twice the middle integer equals the sum of the other two integers plus 3. If a solution exists, find it; if not, explain why.

문제 20객관식

Solve for x: 1/3(2x + 5) = 7.

Linear Inequalities in One Variable 연습문제 Formulas 연습문제