Solving Multi-Step Equations: Distribution Techniques

The video tutorial teaches students how to solve multi-step equations using distribution. It explains the concept of distribution as multiplying a coefficient outside parentheses by each term inside. The tutorial includes several examples, demonstrating how to handle both positive and negative coefficients, and emphasizes the importance of understanding the relationship between multiplication and distribution in solving equations.

What does the term 'distribute' mean in the context of solving equations?

• Divide

• Add

• Subtract

• Multiply

When you distribute a coefficient outside of parentheses, what operation are you performing?

• Subtracting the coefficient from each term inside the parentheses

• Multiplying the coefficient by each term inside the parentheses

• Dividing the coefficient by each term inside the parentheses

• Adding the coefficient to each term inside the parentheses

In the expression 2(x + 3), what is the result of distributing the 2?

• 2x + 3x

• 2x + 3

• 2x + 6

• x + 6

What is the first step in solving the equation 4(2x + 2) = 32?

• Add 2 to both sides

• Divide both sides by 4

• Subtract 2 from both sides

• Distribute the 4 to both terms inside the parentheses

After distributing in the equation 4(2x + 2) = 32, what is the resulting equation?

• 4x + 8 = 32

• 4x + 2 = 32

• 8x + 2 = 32

• 8x + 8 = 32

What is the value of x in the equation 4(2x + 2) = 32?

• 2

• 5

• 3

• 4

In the equation 2(5x - 4) = 42, what is the result of distributing the 2?

• 5x - 4

• 5x - 8

• 10x - 8

• 10x - 4

What is the value of x in the equation 2(5x - 4) = 42?

• 7

• 4

• 5

• 6

In the equation -5(2x - 2) = -20, what is the result of distributing the -5?

• 10x - 10

• -10x + 10

• 10x + 10

• -10x - 10

What is the value of x in the equation -3(-3x + 3) = -27?

• 1

• 3

• 2

• 4