Understanding One-Step Linear Equations

The video tutorial explains how to solve one-step linear equations by isolating the variable. It provides two examples: solving 5x = 35 by dividing both sides by 5, and solving x/3 = 36 by multiplying both sides by 3. The tutorial emphasizes the importance of understanding these basic steps to tackle more complex equations in the future.

What is the primary goal when solving a one-step linear equation?

• To isolate the variable on one side

• To eliminate all numbers

• To make both sides of the equation equal

• To find the value of the variable

In the equation 5x = 35, what operation is used to isolate x?

• Addition

• Subtraction

• Multiplication

• Division

What is the solution to the equation 5x = 35?

• x = 0

• x = 35

• x = 7

• x = 5

How can you verify that x = 7 is the correct solution for 5x = 35?

• By subtracting 7 from both sides

• By adding 7 to both sides

• By dividing 35 by 7

• By checking if 5 times 7 equals 35

What does the fraction bar in x/3 = 36 represent?

• Division

• Addition

• Multiplication

• Subtraction

What operation is used to solve the equation x/3 = 36?

• Multiplication

• Division

• Subtraction

• Addition

What is the solution to the equation x/3 = 36?

• x = 12

• x = 36

• x = 108

• x = 3

How can you verify that x = 108 is the correct solution for x/3 = 36?

• By subtracting 36 from 108

• By adding 108 to 36

• By multiplying 108 by 3

• By checking if 108 divided by 3 equals 36

Why is it important to develop skills in solving one-step equations?

• To avoid using calculators

• To memorize solutions

• To handle more complex equations in the future

• To solve equations faster

What is the opposite operation of dividing by a number?

• Multiplying by the number

• Subtracting the number

• Dividing by the number

• Adding the number