Recent Lessons

Show all results for ""

Feature Overview

Ace your exams with our all-in-one platform for creating and sharing quizzes and tests.

Quizzes

Create quizzes and tests automatically from your content using AI.

Flashcards

Automatically turn your notes into digital flashcards.

Share, Export & Embed

Share with classmates or export to Excel and your learning management system.

Stats & Reporting

Auto-grading quizzes and tests with detailed stats and reports.

Mobile Apps

The smarter way to study – wherever you are.

Pricing

Search...

6 Questions

2 Views

Equation-Solving Pro

Choose a study mode

Play Quiz

Study Flashcards

Spaced Repetition

Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the first step in solving an equation?

Subtraction (correct)

Multiplication

Addition

Division

What is the solution to the equation 3x + 5 = 14?

x = 5

x = 3

x = 4

x = 6 (correct)

What happens to an equation if the same value is added to both sides?

The equation becomes invalid

The equation is multiplied

The equation is simplified (correct)

The equation remains the same

What is the difference between an equation and an expression?

An equation involves an equal sign and represents a statement that two expressions are equal, while an expression is a mathematical phrase that can contain variables, constants, and operators. Signup and view all the answers

What is the order of operations in solving an equation?

The order of operations in solving an equation is to first simplify any expressions within parentheses, then perform any multiplication or division in the order they appear from left to right, and finally perform any addition or subtraction in the order they appear from left to right. Signup and view all the answers

How do you check if a solution to an equation is valid?

To check if a solution to an equation is valid, substitute the value of the variable into the original equation and simplify. If the resulting expression is a true statement, then the solution is valid. Signup and view all the answers

Study Notes

Solving Equations

The first step in solving an equation is to simplify the equation by combining like terms.
The solution to the equation 3x + 5 = 14 is x = 3, which can be found by subtracting 5 from both sides and then dividing both sides by 3.

Equation Properties

If the same value is added to both sides of an equation, the equation remains balanced and its solution is not changed.

Equations vs. Expressions

An equation is a statement that says two expressions are equal, whereas an expression is a collection of numbers, variables, and operations combined to produce a value.

Order of Operations

The order of operations in solving an equation is to follow the PEMDAS rule: Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.

Validating Solutions

To check if a solution to an equation is valid, plug the solution back into the original equation and verify that the equation is true.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

Are you struggling with solving equations? Take this quiz to test your knowledge on the first step in solving an equation, finding solutions to equations, and the effects of adding values to both sides of an equation. Sharpen your math skills and become an equation-solving pro!