Solving 2-Step Equations Challenge

This video tutorial covers solving two-step equations. It begins with an introduction to the concepts of equations and expressions, followed by a detailed explanation of solving equations using inverse operations. The tutorial includes an example problem to demonstrate the process and concludes with a method for checking solutions by substitution. The goal is to help viewers understand how to isolate variables and verify their solutions.

What are the main objectives of this video?

• Learning about geometry

• Understanding fractions and decimals

• Identifying inverse operations, solving two-step equations, and checking answers

• Learning to solve one-step equations

What is an equation?

• A mathematical operation

• A variable

• A statement where two expressions are set equal to each other

• A single number

What is an expression?

• A single variable

• A solution to an equation

• A clump of terms added or subtracted together without an equal sign

• A statement with an equal sign

What does the term 'solution' mean in the context of equations?

• A number that makes both sides of the equation equal

• A single term

• A clump of terms

• A type of mathematical operation

What is the main goal when solving equations?

• To subtract terms

• To multiply both sides

• To isolate the variable and keep the equation balanced

• To add more variables

What must you do to keep an equation balanced?

• Add the same number to both sides

• Do the same operation to both sides

• Subtract different numbers from each side

• Multiply one side only

What are inverse operations?

• Operations that add more variables

• Operations that undo each other

• Operations that multiply terms

• Operations that subtract terms

Which operations undo each other?

• Subtracting and dividing

• Multiplying and subtracting

• Adding and multiplying

• Adding and subtracting

In the example 5x - 12 = 23, what is the first step to isolate x?

• Divide both sides by 5

• Subtract 5 from both sides

• Add 12 to both sides

• Multiply both sides by 5

How can you check your solution to an equation?

• By dividing the solution by 2

• By adding the solution to both sides

• By substituting the solution back into the original equation

• By multiplying the solution by 2