Solving Multi-Step Equations with Negatives and Distributive Property

What happens to the signs of numbers when distributing a negative number?

• Positives become negatives and negatives become positives.

• Only negative numbers change.

• They remain the same.

• Only positive numbers change.

What is the result of multiplying -4 by x in the first example?

• -x

• -4x

• x

• 4x

In the first example, what does -4 times -5 become?

• -5

• 20

• 0

• -20

What is the simplified form of -5(2x + 1)?

• -10x - 5

• 10x - 5

• 10x + 5

• -10x + 5

What is the first step in solving the equation -4(x - 5) = 12 using the distributive property?

• Subtract 5 from both sides.

• Divide both sides by -4.

• Multiply -4 by x and -5.

• Add 5 to both sides.

After distributing -4 in the equation -4(x - 5) = 12, what is the next step?

• Subtract 20 from both sides.

• Add 5 to both sides.

• Add 20 to both sides.

• Divide by -4.

What is the result of dividing both sides of -4(x - 5) = 12 by -4?

• x - 5 = 3

• x + 5 = 3

• x - 5 = -3

• x + 5 = -3

In the second example, what does -5(2x + 1) simplify to?

• -10x - 5

• 10x - 5

• 10x + 5

• -10x + 5

What is the final value of x in the second example using the distributive property?

• 2

• 1

• 4

• 3

What should be the solution of the practice problem if solved correctly?

• x = 2

• x = 3

• x = 1

• x = 0