Exploring Multistep Same Side Problems

This video tutorial covers solving multi-step equations, emphasizing the importance of understanding terms and like terms. It explains how to combine like terms to simplify equations and solve them using two-step methods. The tutorial also addresses handling equations with decimal coefficients and demonstrates the use of the distributive property in solving more complex equations.

What does the term 'multi-step' in multi-step equations imply?

• Equations that require multiple operations to solve

• Equations that can be solved in one step

• Equations that only involve multiplication

• Equations that do not require any operations

What are 'like terms' in an equation?

• Terms that are unrelated

• Terms that have the same variable or are constants

• Terms that look similar but have different variables

• Terms that are on opposite sides of the equation

How do you simplify the equation '7x + 5x'?

• 12x

• 2x

• 7x + 5x remains unchanged

• 35x

What is the result of combining the terms '+2' and '-4'?

• +6

• Cannot be combined

• -2

• +2

In the equation '8x + 3x + 6 - 2 = 37', what is the simplified form before solving?

• 11x + 4 = 37

• 11x + 3 = 37

• 5x + 4 = 37

• 8x + 9 = 37

How do you solve '11x + 4 = 37' to find 'x'?

• Subtract 4 and divide by 11

• Add 4 and multiply by 11

• Divide by 4 and subtract 11

• Multiply by 4 and add 11

What is the first step in solving the equation with parentheses '-3(x + 2) + 5x = -9'?

• Apply the distributive property

• Isolate the variable x

• Combine like terms

• Divide both sides by -3

After distributing and combining like terms in '-3(x + 2) + 5x = -9', what is the simplified equation?

• -3x - 6 + 5x = -9

• 2x - 6 = -9

• -8x + 6 = -9

• 8x - 6 = -9

What is the solution to the equation '2x - 6 = -9'?

• x = -1.5

• x = 1.5

• x = 3

• x = -3

What does solving a two-step equation typically involve?

• Applying the distributive property only

• Only multiplying or dividing terms

• Only adding or subtracting terms

• Combining like terms and applying operations