Multi-Step Equations and Operations

In this Friendly Math 101 tutorial, the lesson focuses on solving multi-step equations. The process involves distributing and combining like terms on each side of the equation, followed by solving the resulting one or two-step equation. Two examples are provided: the first involves distributing a number across terms and combining like terms, while the second example also uses distribution and solving. The lesson concludes with an invitation for questions and further learning opportunities.

What is the first step in solving multi-step equations?

• Combine all terms on one side

• Distribute and combine like terms

• Multiply both sides by the same number

• Add constants to both sides

What is the purpose of distributing in multi-step equations?

• To simplify the equation

• To subtract terms

• To multiply terms

• To add terms

In the first example, what is the result of distributing 5 to -7?

• 12

• -12

• 35

• -35

After distribution in the first example, what is the next step?

• Multiply terms

• Combine like terms

• Add constants

• Subtract terms

What operation is used to isolate the variable in a two-step equation?

• Multiplication

• Subtraction

• Division

• Addition

In the first example, what is the value of 'a' after solving the equation?

• 6

• 4

• 3

• 5

What is the inverse operation of addition?

• Exponentiation

• Multiplication

• Division

• Subtraction

What is the first step in the second example?

• Add terms

• Subtract terms

• Distribute to undo parentheses

• Combine constants

In the second example, what is the result of -6 multiplied by 1?

• -6

• 6

• -12

• 12

What is the result of combining the constants 7 and -6 in the second example?

• 1

• 13

• 0

• -1