Distributive Property and Fractions

The video tutorial explains how to solve multistep equations using the distributive property. It begins by introducing the concept and then demonstrates how to apply the distributive property to eliminate parentheses. The tutorial continues by showing how to combine like terms and solve the resulting two-step equation. Finally, it discusses converting the solution into different forms, such as improper fractions, mixed numbers, and decimals.

What is the first step in solving multistep equations using the distributive property?

• Subtract variables

• Combine like terms

• Apply the distributive property

• Add constants

When using the distributive property, what operation is performed between the number outside the parentheses and each term inside?

• Multiplication

• Subtraction

• Addition

• Division

What is the result of distributing 2 to the terms inside the parentheses in the expression 2(1 - x)?

• 1 - x

• 2x - 2

• 2 - 2x

• 2 + 2x

After applying the distributive property, what should be done next?

• Add a constant

• Divide by a constant

• Combine like terms

• Solve for x

What are the like terms in the expression 2 + 3 - 2x?

• None of the above

• 2 and -2x

• 3 and -2x

• 2 and 3

What is the simplified form of the expression 2 + 3 - 2x?

• 5 + 2x

• 3 - 2x

• 2x - 5

• 5 - 2x

What is the next step after combining like terms in the equation 5 - 2x = 8?

• Multiply both sides by 2

• Divide both sides by 2

• Add 5 to both sides

• Subtract 5 from both sides

What is the result of subtracting 5 from both sides of the equation 5 - 2x = 8?

• 2x = -3

• 2x = 3

• -2x = -3

• -2x = 3

How do you isolate x in the equation -2x = -3?

• Divide both sides by -2

• Multiply both sides by -2

• Subtract 2 from both sides

• Add 2 to both sides

What is the value of x when -2x = -3?

• -1.5

• 1.5

• -3

• 3