Solving Linear Equations

The video tutorial explains how to solve the equation 2a + 5 = 17. It begins by isolating the variable 'a' by subtracting 5 from both sides, resulting in 2a = 12. Then, it divides both sides by 2 to find that a = 6. Finally, the solution is verified by substituting 6 back into the original equation, confirming that the solution is correct.

What does the equation 2a + 5 = 17 represent in this problem?

• A polynomial equation

• An inequality

• A linear equation

• A quadratic equation

What is the first step in solving the equation 2a + 5 = 17?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 5 from both sides

• Add 5 to both sides

After subtracting 5 from both sides of the equation 2a + 5 = 17, what is the resulting equation?

• 2a = 22

• 2a = 12

• a = 6

• a = 17

What is the purpose of subtracting 5 from both sides of the equation?

• To make the equation a quadratic

• To simplify the equation to zero

• To isolate the term containing 'a'

• To eliminate the variable 'a'

What operation is needed to isolate 'a' in the equation 2a = 12?

• Multiply both sides by 2

• Subtract 2 from both sides

• Add 2 to both sides

• Divide both sides by 2

What is the value of 'a' after solving the equation 2a = 12?

• a = 2

• a = 24

• a = 6

• a = 12

What mathematical operation is performed after obtaining 2a = 12?

• Division

• Multiplication

• Subtraction

• Addition

What is the result of dividing both sides of the equation 2a = 12 by 2?

• a = 2

• a = 6

• a = 12

• a = 24

What does the equation 2a = 12 indicate about the relationship between 'a' and the constant term?

• 'a' is half the constant term

• 'a' is twice the constant term

• 'a' is unrelated to the constant term

• 'a' is equal to the constant term

How do you verify the solution to the equation 2a + 5 = 17?

• By adding 5 to both sides

• By substituting a = 6 back into the equation

• By dividing both sides by 2

• By checking if 2a equals 17