Solving Linear Equations and Verification

The video tutorial introduces an algebra problem, explaining how to solve for x in the equation 2x + 3 = 11. It breaks down the equation, uses substitution to find the value of x, and verifies the solution. The tutorial concludes by encouraging confidence in solving algebra problems.

What is the primary goal when solving for x in an equation like 2x + 3 = 11?

• To find the value of x that makes the equation true

• To eliminate all numbers from the equation

• To make x equal to zero

• To find the value of y

In the equation 2x + 3 = 11, what does the equation ask you to find?

• A number that when multiplied by 2 and added to 11 gives 3

• A number that when multiplied by 11 and added to 3 gives 2

• A number that when multiplied by 2 and added to 3 gives 11

• A number that when multiplied by 3 and added to 2 gives 11

What is the value of the blank in the equation: ___ + 3 = 11?

• 5

• 8

• 6

• 7

What is the substitution method used for in solving equations?

• To replace one part of the equation with another known value

• To replace the entire equation with a simpler one

• To replace constants with variables

• To replace variables with constants

If 2x is replaced by 8, what is the value of x?

• 5

• 4

• 3

• 2

How can you verify if your solution for x is correct?

• By substituting the value of x back into the original equation

• By using a calculator to check the solution

• By solving a similar equation

• By checking if the solution satisfies a different equation

What is the result of substituting x = 4 back into the equation 2x + 3?

• 9

• 10

• 12

• 11

What does the check mark signify in the context of solving equations?

• The solution is verified and correct

• The equation needs to be re-evaluated

• The equation is unsolvable

• The solution is incorrect

What is the importance of checking your solution in algebra?

• To ensure the solution is correct and no errors were made

• To find a different solution

• To change the original equation

• To make the equation more complex

What can you tell others after successfully solving the equation 2x + 3 = 11?

• I found a new equation

• I solved for y

• I solved for x

• I created a new problem