Exploring the Distributive Property in Equations

The video tutorial covers the distributive property in algebra, explaining how it simplifies expressions and equations. It demonstrates the process of distributing a value across terms in parentheses and combining like terms. The tutorial also applies the distributive property to solve multi-step and two-step equations, emphasizing the importance of following the order of operations.

What does the distributive property allow you to do in algebra?

• Multiply a value across terms within parentheses

• Add a value to terms within parentheses

• Subtract a value from terms within parentheses

• Divide a value across terms within parentheses

What is the result of applying the distributive property to 3*(2 + 4x)?

• 6 + 4x

• 5 + 7x

• 6x + 8

• 6 + 12x

How do you simplify the expression -2*(4x - 5) using the distributive property?

• -6x + 10

• -8x + 10

• 8x - 10

• -8x - 10

When simplifying equations, what is the first step after applying the distributive property?

• Subtract variables from both sides

• Combine like terms

• Add constants to both sides

• Divide both sides by the coefficient

What is the correct order of operations when solving a two-step equation?

• Divide, then subtract

• Subtract, then divide

• Add, then multiply

• Multiply, then add

How do you solve 6x + 27 = 6 for x?

• x = 3.5

• x = -3.5

• x = 4.5

• x = -4.5

What is the result of distributing -3 in the expression -3*(4x + 2)?

• 12x + 6

• 12x - 6

• -12x + 6

• -12x - 6

In a two-step equation, after combining like terms, what should you do next?

• Multiply both sides by the leading coefficient

• Divide both sides by the leading coefficient

• Subtract the constant from both sides

• Add the constant to both sides

What is the final step in solving the equation -x + 5 = 9?

• Multiply both sides by -1

• Add 1 to both sides

• Subtract 1 from both sides

• Divide both sides by -1

What is the value of x in the equation -x + 5 = 9?

• x = 4

• x = 5

• x = -5

• x = -4