Solving Multi-Step Equations with Parentheses

This video tutorial covers solving multi-step equations, focusing on using the distributive property and combining like terms. It provides examples of equations with parentheses and negative coefficients, and emphasizes the importance of checking solutions by plugging them back into the original equations. The tutorial aims to build confidence in solving complex equations and encourages students to practice these skills.

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

• Combine like terms

• Subtract variables

• Use the distributive property

• Add constants

When using the distributive property, what do you do with the number outside the parentheses?

• Divide it by each term inside the parentheses

• Multiply it by each term inside the parentheses

• Subtract it from each term inside the parentheses

• Add it to each term inside the parentheses

In the equation 10(a + 2), what is the result after applying the distributive property?

• 10a + 20

• 10 + 2a

• 10a + 2

• a + 20

How do you handle a negative sign in front of the distributive property?

• Ignore it

• Add it to each term inside the parentheses

• Multiply it by each term inside the parentheses

• Subtract it from each term inside the parentheses

What is the result of distributing -8 in the equation -8(T + 2)?

• 8T + 16

• 8T - 16

• -8T + 16

• -8T - 16

What should you do after distributing and before solving the equation?

• Divide by the coefficient

• Subtract variables

• Add constants

• Combine like terms

In the equation 5a + 10a, what is the simplified form?

• 15a

• 5a

• 10a

• 20a

What is the next step after combining like terms in an equation?

• Distribute the coefficient

• Subtract variables

• Add constants

• Isolate the variable

Why is it important to check your solution after solving an equation?

• To ensure the equation is balanced

• To find the variable

• To combine like terms

• To simplify the equation

In the equation 5b - 2b + 11 = 50, what is the value of b?

• 15

• 13

• 11

• 17