Leçon de préparation SAT : Simplifying Algebraic Expressions
🇺🇸 In EnglishLearn techniques for combining like terms and using the distributive property on complex expressions. Practice dynamic examples to build algebraic fluency. Elevate your SAT Math score by mastering expression simplification.
Maîtrisez le SAT avec notre leçon ciblée sur Simplifying Algebraic Expressions, partie du curriculum Digital SAT de SAT Sphere. Cette leçon offre des explications approfondies des concepts, des techniques de résolution de problèmes et des questions pratiques au format SAT pour améliorer vos performances. Idéale pour les Mathématiques SAT et la Lecture & Écriture, chaque leçon renforce votre confiance pour le jour de l’examen.
Sujets SAT couverts dans la leçon Simplifying Algebraic Expressions
Cette leçon SAT Sphere se concentre sur les sujets essentiels du test SAT dans la section Simplifying Algebraic Expressions. Vous développerez une compréhension solide des concepts clés, apprendrez des stratégies de gain de temps et appliquerez vos connaissances à des questions pratiques réalistes pour le Digital SAT.
01
Introduction to Simplifying Algebraic Expressions
🇺🇸 In EnglishFrames why simplification matters for the Digital SAT and reminds students to recall variables, constants, coefficients, combining like terms, the distributive property, and FOIL from prior lessons.
02
Recognizing and Grouping Like Terms
🇺🇸 In EnglishDefines like terms in single- and multi-variable polynomials, refreshing students’ prior mastery while extending it to higher-degree expressions.
03
Combining Like Terms Efficiently
🇺🇸 In EnglishTeaches systematic addition and subtraction of like terms—building on Slide 2 to solidify coefficient arithmetic and sign management.
04
Distributive Property Fundamentals
🇺🇸 In EnglishIntroduces the a(b + c) rule, connecting to the FOIL pattern previously learned for binomial products.
05
Distribution with Negatives and Fractions
🇺🇸 In EnglishExtends Slide 4 by applying the distributive property when factors are negative or fractional, emphasizing common SAT sign traps.
06
Distribute-Then-Combine Strategy
🇺🇸 In EnglishIntegrates Slides 3 and 5 into a two-step game plan—first distribute, then combine like terms—to simplify any single-level expression.
07
Simplifying Nested and Multi-Level Expressions
🇺🇸 In EnglishBuilds on Slide 6 by tackling expressions with nested parentheses and multiple distributive stages for realistic SAT difficulty.
08
SAT-Style Practice: Multiple-Choice Simplification
🇺🇸 In EnglishProvides timed multiple-choice questions that revisit skills from Slides 2–7 and illustrate SAT distractor patterns.
09
SAT-Style Practice: Grid-In Simplification
🇺🇸 In EnglishOffers student-produced response problems (grid-ins) to extend the practice from Slide 8 without answer choices.
10
Key Takeaways and Next Steps
🇺🇸 In EnglishSummarizes the lesson’s simplification toolkit, highlights common errors, and previews how these skills support factoring in the upcoming lesson.
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Développez vos compétences Digital SAT avec le module Fundamentals of Algebra
Cette leçon fait partie du module Fundamentals of Algebra, une unité structurée de préparation SAT conçue pour améliorer vos performances dans les domaines clés du Digital SAT. Chaque module comprend plusieurs leçons SAT axées sur le développement de la pensée critique, des compétences analytiques et de la confiance en soi pour l’examen. Progressez à travers chaque module pour renforcer votre compréhension et augmenter votre score SAT global.
Découvrez d’autres leçons Digital SAT dans le module Fundamentals of Algebra
Poursuivez votre préparation SAT en complétant d’autres leçons SAT Sphere du module Fundamentals of Algebra. Chaque leçon cible un concept spécifique testé sur le Digital SAT, vous aidant à approfondir vos connaissances et à affiner vos compétences pour l’examen réel.
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.
Linear Inequalities
Understanding and solving linear inequalities. Graphing inequalities on a number line.
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.
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.
Linear Inequalities
Understanding and solving linear inequalities. Graphing inequalities on a number line.
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.
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.
Linear Inequalities
Understanding and solving linear inequalities. Graphing inequalities on a number line.
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.
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.
Linear Inequalities
Understanding and solving linear inequalities. Graphing inequalities on a number line.
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.
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.
Linear Inequalities
Understanding and solving linear inequalities. Graphing inequalities on a number line.
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.
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.
Linear Inequalities
Understanding and solving linear inequalities. Graphing inequalities on a number line.
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.
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.
Linear Inequalities
Understanding and solving linear inequalities. Graphing inequalities on a number line.
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.
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.
Linear Inequalities
Understanding and solving linear inequalities. Graphing inequalities on a number line.
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.
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.
Linear Inequalities
Understanding and solving linear inequalities. Graphing inequalities on a number line.
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.
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.
Linear Inequalities
Understanding and solving linear inequalities. Graphing inequalities on a number line.
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.
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.
Linear Inequalities
Understanding and solving linear inequalities. Graphing inequalities on a number line.
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.
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.
Linear Inequalities
Understanding and solving linear inequalities. Graphing inequalities on a number line.
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.
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