Mastering Linear Equations and Word Problems

Estratto della scheda di revisione

Course Outline

  1. Linear equations with fractions
  2. Solving linear equations with variables
  3. Harder challenge linear equation problems
  4. Word problems: perimeter and dimensions
  5. Word problems: cost, tickets, and integers

1. Linear equations with fractions

Key Concepts & Definitions

  • Linear equation : A linear equation is an equation where the variable appears only to the first power and not inside products of variables.
  • Common denominator : A common denominator is a shared multiple used to rewrite fractions so they can be added or subtracted easily.
  • Distributive property : The distributive property lets you multiply a number across terms inside parentheses.

Essential Points

  • Clear fractions by multiplying both sides by the least common denominator of all fractional coefficients.
  • When fractions include expressions like (x-10) or (2x+5), distribute before combining like terms.
  • After clearing denominators, collect x-terms on one side and constants on the other side.
  • Solve by isolating x, then check by substituting into the original fractional equation.

Memory Hook

Fractions first: clear denominators, then collect x, then isolate x.

2. Solving linear equations with variables

Key Concepts & Definitions

Leggi la scheda completa →

Anteprima del quiz

1. Why is it useful to combine like terms before solving an equation such as ax+b=cx+d?

2. If a rectangle’s length is 3 cm more than twice its width, which equation models that relationship?

3. Which expression best represents a cost model with a starting fee plus a per-unit rate?

Fai il quiz (10 domande) →

Anteprima delle flashcard

Linear equation — fractions?

Clear denominators before solving.

Solve linear equations — variables?

Isolate the variable on one side.

Hard linear problems — steps?

Distribute, combine, then isolate.

Perimeter problem — formula?

Perimeter = 2(length + width).

Word problem — dimensions?

Translate words into equations for length and width.

Cost word problem — setup?

Express total cost as start + rate×units.

Vedi tutte le 10 flashcard →

Domande frequenti

Cosa copre la scheda di revisione su Mastering Linear Equations and Word Problems?

La scheda di revisione copre i concetti essenziali di Mastering Linear Equations and Word Problems. È organizzata per argomento per facilitare l'apprendimento e la memorizzazione, con definizioni chiave, spiegazioni e riassunti.

Leggi la scheda completa →

Quante domande ci sono nel quiz su Mastering Linear Equations and Word Problems?

Il quiz contiene 10 domande a scelta multipla con correzioni e spiegazioni dettagliate per ogni risposta. Ideale per testare le tue conoscenze e identificare le lacune.

Fai il quiz (10 domande) →

Come studiare Mastering Linear Equations and Word Problems con le flashcard?

Revizly offre 10 flashcard interattive su Mastering Linear Equations and Word Problems. Ogni carta presenta una domanda sul fronte e la risposta sul retro, permettendo una revisione attiva ed efficace basata sulla ripetizione dilazionata.

Vedi tutte le 10 flashcard →

Similar courses

Réglementation environnementale 2020

Equivalent Ratios

Mathématiques

Anthropologie de la communication

Découvrir les nombres au cycle 1

Mathématiques

Nomenclature des oxydes métalliques

Chimie

Nombres d’oxydation

Chimie

Create your own sheets from your courses

Import your PDF or paste your course, AI generates sheets, quizzes and flashcards in 30 seconds.

Sheet generatorQuiz generator