Verifying Solutions of Linear Equations

The video tutorial explains how to solve one-step equations by isolating the variable. It covers two examples: solving x - 2.3 = 4.9 and 12.2 + x = 15.9. The process involves performing inverse operations to isolate x and verify the solution by substitution. The tutorial emphasizes understanding the concept of making both sides of the equation equal.

What is the first step in solving the equation x - 2.3 = 4.9?

• Subtract 4.9 from both sides

• Add 2.3 to both sides

• Divide both sides by x

• Multiply both sides by 2.3

What operation is used to isolate x in the equation x - 2.3 = 4.9?

• Multiplication

• Subtraction

• Addition

• Division

What is the solution to the equation x - 2.3 = 4.9?

• x = 6.3

• x = 4.9

• x = 7.2

• x = 2.6

How do you verify the solution x = 7.2 for the equation x - 2.3 = 4.9?

• By adding 4.9 to both sides

• By substituting x = 7.2 into the equation

• By multiplying both sides by 7.2

• By dividing both sides by 2.3

What is the initial equation in the second example?

• 15.9 + x = 12.2

• x - 12.2 = 15.9

• 12.2 + x = 15.9

• x + 12.2 = 15.9

What operation is used to isolate x in the equation 12.2 + x = 15.9?

• Addition

• Subtraction

• Division

• Multiplication

What is the solution to the equation 12.2 + x = 15.9?

• x = 2.7

• x = 5.7

• x = 3.7

• x = 4.7

How do you verify the solution x = 3.7 for the equation 12.2 + x = 15.9?

• By multiplying both sides by 3.7

• By dividing both sides by 12.2

• By adding 15.9 to both sides

• By substituting x = 3.7 into the equation

What is the result of 12.2 + 3.7?

• 15.9

• 15.8

• 16.0

• 16.1

What is the purpose of performing a substitution in solving equations?

• To find a new equation

• To verify the solution

• To change the variable

• To simplify the equation