Solving Two-Step Equations Challenge

This video tutorial covers solving two-step equations, focusing on isolating variables and using inverse operations. It includes examples with negative coefficients and division, emphasizing the importance of checking solutions. The tutorial concludes with practice problems and an extra credit question to reinforce learning.

What is the primary goal when solving two-step equations?

• To eliminate all variables

• To perform all operations on one side only

• To isolate the variable on any side of the equation

• To add constants to both sides

What operation is performed to eliminate '+9' from the equation?

• Addition of 9

• Subtraction of 9

• Multiplication by 9

• Division by 9

After subtracting 7 from both sides, what is the next step to isolate 'n' in the equation '-4n + 7 = 51'?

• Multiply both sides by -4

• Divide both sides by -4

• Subtract 4 from both sides

• Add 4 to both sides

How do you verify the solution 'n = -6' for the equation '-5n + 9 = 39'?

• Subtract 6 from both sides of the equation

• Add 6 to both sides of the equation

• Substitute n = 6 and check if both sides equal 39

• Substitute n = -6 and check if both sides equal 39

What is the result of '51 - 7' when solving the equation '-4n + 7 = 51'?

• 58

• 54

• 48

• 44

In the equation '22 - 6n = 82', what is the first step to isolate 'n'?

• Add 22 to both sides

• Subtract 22 from both sides

• Multiply both sides by 6

• Divide both sides by 6

How is 'n' isolated in the equation '15 - 5n = 45' after subtracting 15 from both sides?

• Multiply by -5

• Subtract 5

• Add 5

• Divide by -5

What is the correct solution for 'X divided by 3 - 4 = 6' after performing the necessary operations?

• X = 18

• X = 30

• X = 24

• X = 12

What operation is used to isolate 'X' in the equation 'X divided by 6 + 3 = 7'?

• Division by 6

• Multiplication by 6

• Addition of 3

• Subtraction of 3

What is the final value of 'X' in the equation 'X divided by 6 + 3 = 7' after all operations are performed?

• X = 30

• X = 24

• X = 12

• X = 18