SAT-förberedelselektion: Linear Inequalities
🇺🇸 In EnglishLearn to solve and graph linear inequalities on the number line step by step. Engage with SAT practice sets that test solution-set understanding. Master inequality concepts to boost your Math score.
Behärska SAT med vår målade lektion om Linear Inequalities, en del av SAT Spheres Digital SAT-plan. Denna lektion ger djupgående konceptförklaringar, problemlösningstekniker och SAT-liknande övningsfrågor för att hjälpa dig förbättra dina resultat. Perfekt för SAT Math och Reading & Writing, varje lektion bygger ditt självförtroende inför provdagen.
SAT-ämnen som täcks i lektionen Linear Inequalities
Denna SAT Sphere-lektion fokuserar på viktiga SAT-testämnen i avsnittet Linear Inequalities. Du bygger en stark förståelse för grundläggande koncept, lär dig tidssparande provstrategier och tillämpar din kunskap på realistiska Digital SAT-övningsfrågor.
01
Introduction to Linear Inequalities
🇺🇸 In EnglishFrames the lesson goals and reminds students of required prior skills: solving one- and two-step linear equations, inverse operations, combining like terms, the distributive property, basic comparison symbols, and reading values on a number line.
02
Inequality Symbols and Solution Sets
🇺🇸 In EnglishDefines <, ≤, >, ≥, introduces interval notation, and explains that an inequality’s solution is a range of values—building on students’ earlier work with numeric comparisons in the Fundamentals module.
03
One-Step Inequalities: Addition and Subtraction
🇺🇸 In EnglishTeaches how to isolate the variable when a single add-or-subtract operation is present, refreshing the inverse-operation strategy first mastered in Basic Algebraic Operations.
04
One-Step Inequalities: Multiplication and Division
🇺🇸 In EnglishShows how multiplying or dividing—especially by a negative—solves an inequality and flips its sign, extending the method from Slide 3 and reinforcing sign rules from earlier integer lessons.
05
Two-Step and Multi-Step Inequalities
🇺🇸 In EnglishCombines like terms, applies the distributive property, and performs two operations to isolate the variable—building on Slide 4 and the earlier ‘Two-Step Linear Equations’ lesson.
06
Compound Inequalities and Logical Connectors
🇺🇸 In EnglishExplores ‘and’/‘or’ statements, rewriting them as joined or split ranges, extending the multi-step skills from Slide 5.
07
Graphing Single Inequalities on a Number Line
🇺🇸 In EnglishDemonstrates open vs. closed circles and directional shading to visualize solutions—building on Slides 3–5 where solution ranges were obtained algebraically.
08
Graphing Compound Inequalities
🇺🇸 In EnglishShows how to represent ‘and’/‘or’ ranges on a number line and connect disjoint intervals, extending Slide 6’s logical concepts and Slide 7’s graphing technique.
09
Modeling Word Problems with Inequalities
🇺🇸 In EnglishTranslates real-world constraints into linear inequalities and interprets solutions, building on prior equation-modeling practice from the Linear Equations lesson.
10
Key Takeaways and Targeted Practice
🇺🇸 In EnglishSummarizes the inequality toolkit, highlights common SAT traps, and provides mixed practice to solidify understanding before moving on.
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Bygg dina Digital SAT-färdigheter med modulen Fundamentals of Algebra
Denna lektion är en del av modulen Fundamentals of Algebra, en strukturerad SAT-förberedelseenhet utformad för att förbättra din prestation i viktiga områden av Digital SAT. Varje modul innehåller flera SAT-fokuserade lektioner som utvecklar kritiskt tänkande, analytiska färdigheter och självförtroende för provet. Gå igenom varje modul för att stärka din förståelse och höja ditt totala SAT-poäng.
Utforska fler Digital SAT-lektioner i modulen Fundamentals of Algebra
Förbättra din SAT-förberedelse genom att slutföra andra SAT Sphere-lektioner i modulen Fundamentals of Algebra. Varje lektion fokuserar på ett specifikt koncept som prövas på Digital SAT, vilket hjälper dig att fördjupa din kunskap och finslipa dina färdigheter inför det riktiga provet.
Ratios and Proportions
Understanding and solving ratio problems. Setting up and solving proportions.
Introduction to Exponents and Powers
Understanding the laws of exponents. Simplifying expressions involving exponents.
Unit Conversion and Rates
Converting between units and solving problems involving rates. Applications in real-world contexts.
Roots and Radicals
Simplifying square roots and other radicals. Solving equations involving radicals.
Absolute Value
Working with absolute value equations and inequalities. Practical applications of absolute value in real-world problems.
Basic Algebraic Operations
Introduction to variables, constants, and coefficients. Understanding algebraic expressions and basic operations (addition, subtraction, multiplication, division).
Solving Linear Equations
Techniques for solving single-variable linear equations. Application of linear equations in word problems.
Percentages
Calculating percentages and solving percentage problems. Applications of percentages in various contexts.
Simplifying Algebraic Expressions
Techniques for combining like terms and using the distributive property. Simplifying complex algebraic expressions.
Ratios and Proportions
Understanding and solving ratio problems. Setting up and solving proportions.
Introduction to Exponents and Powers
Understanding the laws of exponents. Simplifying expressions involving exponents.
Unit Conversion and Rates
Converting between units and solving problems involving rates. Applications in real-world contexts.
Roots and Radicals
Simplifying square roots and other radicals. Solving equations involving radicals.
Absolute Value
Working with absolute value equations and inequalities. Practical applications of absolute value in real-world problems.
Basic Algebraic Operations
Introduction to variables, constants, and coefficients. Understanding algebraic expressions and basic operations (addition, subtraction, multiplication, division).
Solving Linear Equations
Techniques for solving single-variable linear equations. Application of linear equations in word problems.
Percentages
Calculating percentages and solving percentage problems. Applications of percentages in various contexts.
Simplifying Algebraic Expressions
Techniques for combining like terms and using the distributive property. Simplifying complex algebraic expressions.
Ratios and Proportions
Understanding and solving ratio problems. Setting up and solving proportions.
Introduction to Exponents and Powers
Understanding the laws of exponents. Simplifying expressions involving exponents.
Unit Conversion and Rates
Converting between units and solving problems involving rates. Applications in real-world contexts.
Roots and Radicals
Simplifying square roots and other radicals. Solving equations involving radicals.
Absolute Value
Working with absolute value equations and inequalities. Practical applications of absolute value in real-world problems.
Basic Algebraic Operations
Introduction to variables, constants, and coefficients. Understanding algebraic expressions and basic operations (addition, subtraction, multiplication, division).
Solving Linear Equations
Techniques for solving single-variable linear equations. Application of linear equations in word problems.
Percentages
Calculating percentages and solving percentage problems. Applications of percentages in various contexts.
Simplifying Algebraic Expressions
Techniques for combining like terms and using the distributive property. Simplifying complex algebraic expressions.
Ratios and Proportions
Understanding and solving ratio problems. Setting up and solving proportions.
Introduction to Exponents and Powers
Understanding the laws of exponents. Simplifying expressions involving exponents.
Unit Conversion and Rates
Converting between units and solving problems involving rates. Applications in real-world contexts.
Roots and Radicals
Simplifying square roots and other radicals. Solving equations involving radicals.
Absolute Value
Working with absolute value equations and inequalities. Practical applications of absolute value in real-world problems.
Basic Algebraic Operations
Introduction to variables, constants, and coefficients. Understanding algebraic expressions and basic operations (addition, subtraction, multiplication, division).
Solving Linear Equations
Techniques for solving single-variable linear equations. Application of linear equations in word problems.
Percentages
Calculating percentages and solving percentage problems. Applications of percentages in various contexts.
Simplifying Algebraic Expressions
Techniques for combining like terms and using the distributive property. Simplifying complex algebraic expressions.
Ratios and Proportions
Understanding and solving ratio problems. Setting up and solving proportions.
Introduction to Exponents and Powers
Understanding the laws of exponents. Simplifying expressions involving exponents.
Unit Conversion and Rates
Converting between units and solving problems involving rates. Applications in real-world contexts.
Roots and Radicals
Simplifying square roots and other radicals. Solving equations involving radicals.
Absolute Value
Working with absolute value equations and inequalities. Practical applications of absolute value in real-world problems.
Basic Algebraic Operations
Introduction to variables, constants, and coefficients. Understanding algebraic expressions and basic operations (addition, subtraction, multiplication, division).
Solving Linear Equations
Techniques for solving single-variable linear equations. Application of linear equations in word problems.
Percentages
Calculating percentages and solving percentage problems. Applications of percentages in various contexts.
Simplifying Algebraic Expressions
Techniques for combining like terms and using the distributive property. Simplifying complex algebraic expressions.
Ratios and Proportions
Understanding and solving ratio problems. Setting up and solving proportions.
Introduction to Exponents and Powers
Understanding the laws of exponents. Simplifying expressions involving exponents.
Unit Conversion and Rates
Converting between units and solving problems involving rates. Applications in real-world contexts.
Roots and Radicals
Simplifying square roots and other radicals. Solving equations involving radicals.
Absolute Value
Working with absolute value equations and inequalities. Practical applications of absolute value in real-world problems.
Basic Algebraic Operations
Introduction to variables, constants, and coefficients. Understanding algebraic expressions and basic operations (addition, subtraction, multiplication, division).
Solving Linear Equations
Techniques for solving single-variable linear equations. Application of linear equations in word problems.
Percentages
Calculating percentages and solving percentage problems. Applications of percentages in various contexts.
Simplifying Algebraic Expressions
Techniques for combining like terms and using the distributive property. Simplifying complex algebraic expressions.
Ratios and Proportions
Understanding and solving ratio problems. Setting up and solving proportions.
Introduction to Exponents and Powers
Understanding the laws of exponents. Simplifying expressions involving exponents.
Unit Conversion and Rates
Converting between units and solving problems involving rates. Applications in real-world contexts.
Roots and Radicals
Simplifying square roots and other radicals. Solving equations involving radicals.
Absolute Value
Working with absolute value equations and inequalities. Practical applications of absolute value in real-world problems.
Basic Algebraic Operations
Introduction to variables, constants, and coefficients. Understanding algebraic expressions and basic operations (addition, subtraction, multiplication, division).
Solving Linear Equations
Techniques for solving single-variable linear equations. Application of linear equations in word problems.
Percentages
Calculating percentages and solving percentage problems. Applications of percentages in various contexts.
Simplifying Algebraic Expressions
Techniques for combining like terms and using the distributive property. Simplifying complex algebraic expressions.
Ratios and Proportions
Understanding and solving ratio problems. Setting up and solving proportions.
Introduction to Exponents and Powers
Understanding the laws of exponents. Simplifying expressions involving exponents.
Unit Conversion and Rates
Converting between units and solving problems involving rates. Applications in real-world contexts.
Roots and Radicals
Simplifying square roots and other radicals. Solving equations involving radicals.
Absolute Value
Working with absolute value equations and inequalities. Practical applications of absolute value in real-world problems.
Basic Algebraic Operations
Introduction to variables, constants, and coefficients. Understanding algebraic expressions and basic operations (addition, subtraction, multiplication, division).
Solving Linear Equations
Techniques for solving single-variable linear equations. Application of linear equations in word problems.
Percentages
Calculating percentages and solving percentage problems. Applications of percentages in various contexts.
Simplifying Algebraic Expressions
Techniques for combining like terms and using the distributive property. Simplifying complex algebraic expressions.
Ratios and Proportions
Understanding and solving ratio problems. Setting up and solving proportions.
Introduction to Exponents and Powers
Understanding the laws of exponents. Simplifying expressions involving exponents.
Unit Conversion and Rates
Converting between units and solving problems involving rates. Applications in real-world contexts.
Roots and Radicals
Simplifying square roots and other radicals. Solving equations involving radicals.
Absolute Value
Working with absolute value equations and inequalities. Practical applications of absolute value in real-world problems.
Basic Algebraic Operations
Introduction to variables, constants, and coefficients. Understanding algebraic expressions and basic operations (addition, subtraction, multiplication, division).
Solving Linear Equations
Techniques for solving single-variable linear equations. Application of linear equations in word problems.
Percentages
Calculating percentages and solving percentage problems. Applications of percentages in various contexts.
Simplifying Algebraic Expressions
Techniques for combining like terms and using the distributive property. Simplifying complex algebraic expressions.
Ratios and Proportions
Understanding and solving ratio problems. Setting up and solving proportions.
Introduction to Exponents and Powers
Understanding the laws of exponents. Simplifying expressions involving exponents.
Unit Conversion and Rates
Converting between units and solving problems involving rates. Applications in real-world contexts.
Roots and Radicals
Simplifying square roots and other radicals. Solving equations involving radicals.
Absolute Value
Working with absolute value equations and inequalities. Practical applications of absolute value in real-world problems.
Basic Algebraic Operations
Introduction to variables, constants, and coefficients. Understanding algebraic expressions and basic operations (addition, subtraction, multiplication, division).
Solving Linear Equations
Techniques for solving single-variable linear equations. Application of linear equations in word problems.
Percentages
Calculating percentages and solving percentage problems. Applications of percentages in various contexts.
Simplifying Algebraic Expressions
Techniques for combining like terms and using the distributive property. Simplifying complex algebraic expressions.
Ratios and Proportions
Understanding and solving ratio problems. Setting up and solving proportions.
Introduction to Exponents and Powers
Understanding the laws of exponents. Simplifying expressions involving exponents.
Unit Conversion and Rates
Converting between units and solving problems involving rates. Applications in real-world contexts.
Roots and Radicals
Simplifying square roots and other radicals. Solving equations involving radicals.
Absolute Value
Working with absolute value equations and inequalities. Practical applications of absolute value in real-world problems.
Basic Algebraic Operations
Introduction to variables, constants, and coefficients. Understanding algebraic expressions and basic operations (addition, subtraction, multiplication, division).
Solving Linear Equations
Techniques for solving single-variable linear equations. Application of linear equations in word problems.
Percentages
Calculating percentages and solving percentage problems. Applications of percentages in various contexts.
Simplifying Algebraic Expressions
Techniques for combining like terms and using the distributive property. Simplifying complex algebraic expressions.
Ratios and Proportions
Understanding and solving ratio problems. Setting up and solving proportions.
Introduction to Exponents and Powers
Understanding the laws of exponents. Simplifying expressions involving exponents.
Unit Conversion and Rates
Converting between units and solving problems involving rates. Applications in real-world contexts.
Roots and Radicals
Simplifying square roots and other radicals. Solving equations involving radicals.
Absolute Value
Working with absolute value equations and inequalities. Practical applications of absolute value in real-world problems.
Basic Algebraic Operations
Introduction to variables, constants, and coefficients. Understanding algebraic expressions and basic operations (addition, subtraction, multiplication, division).
Solving Linear Equations
Techniques for solving single-variable linear equations. Application of linear equations in word problems.
Percentages
Calculating percentages and solving percentage problems. Applications of percentages in various contexts.
Simplifying Algebraic Expressions
Techniques for combining like terms and using the distributive property. Simplifying complex algebraic expressions.
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