Mastering Multi-Step Equation Solutions

This video tutorial teaches how to solve equations using the distributive property and combining like terms. It begins with a review of simplifying expressions, followed by an explanation of combining like terms. The tutorial then covers solving multi-step equations, providing examples and practice problems to reinforce the concepts. Key techniques include using the distributive property and properties of equality to isolate variables.

What does it imply when two numbers are placed next to each other?

• Multiplication

• Subtraction

• Addition

• Division

What is the result of distributing 3 to the expression (5x + 1)?

• 15x + 5

• 3x + 1

• 8x + 1

• 15x + 3

Which property allows us to combine like terms even if they are not adjacent?

• Associative Property

• Identity Property

• Distributive Property

• Commutative Property

How do you solve the equation 8x = 24?

• Subtract 8 from both sides

• Add 8 to both sides

• Divide both sides by 8

• Multiply both sides by 8

What is the first step in solving the equation 30 - 2x - 10 = 12?

• Isolate the variable x

• Distribute the -2

• Add 10 to both sides

• Combine like terms

What is the value of x in the equation -3x = -18?

• -54

• -6

• 54

• 6

In the equation 2 = 14 - 16M + 6, what is the first step to simplify it?

• Combine like terms

• Distribute the -2

• Subtract 14 from both sides

• Isolate the variable M

What does the equation -3x - 18 = -36 simplify to before solving?

• 3x = -18

• -3x = -54

• -3x = -18

• 3x = 18

After distributing -1 to the expression (-1)(3 + 2), what is the result?

• 5

• -5

• 3 + 2

• -3 - 2

What is the simplified form of 4a - 3a?

• 1a

• 7a

• -1a

• 12a