Solving Linear Equations Concepts

This video tutorial explains how to solve two-step equations where the solution is a positive integer. It emphasizes the importance of maintaining balance in equations by performing equal operations on both sides. The tutorial provides two examples: one solving for x and another for y, demonstrating the process of undoing operations to isolate the variable and find its value.

What is a positive integer?

• A fraction

• A decimal

• A whole number

• A negative number

What symbol is essential in an equation?

• Multiply

• Minus

• Equal

• Plus

Why must we do the same operation on both sides of an equation?

• To make it more complex

• To keep it balanced

• To simplify it

• To change the variable

What is the first step in solving 2x + 3 = 13?

• Multiply by 2

• Subtract 3

• Add 3

• Divide by 2

What operation should be undone first in 2x + 3 = 13?

• Addition

• Multiplication

• Division

• Subtraction

After subtracting 3 from both sides of 2x + 3 = 13, what is the next step?

• Multiply by 2

• Subtract 2

• Add 3

• Divide by 2

What is the solution to the equation 2x + 3 = 13?

• x = 10

• x = 7

• x = 5

• x = 3

How can you verify the solution to 2x + 3 = 13?

• By guessing

• By using a calculator

• By asking a friend

• By substituting x back into the equation

In the equation 3y - 4 = 17, what is the first operation to undo?

• Subtract 4

• Multiply by 3

• Add 4

• Divide by 3

What is the result after adding 4 to both sides of 3y - 4 = 17?

• 3y = 13

• 3y = 17

• 3y = 21

• 3y = 25