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

Tags

CCSS.7.EE.A.1

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

Tags

CCSS.7.EE.A.1

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

• 2x + 3x

• 2x + 3

• 2x + 6

• x + 6

Tags

CCSS.6.EE.A.3

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

Tags

CCSS.7.EE.B.4A

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

Tags

CCSS.HSA.REI.A.1

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

• 2

• 5

• 3

• 4

Tags

CCSS.7.EE.B.4A

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

• 5x - 4

• 5x - 8

• 10x - 8

• 10x - 4

Tags

CCSS.6.EE.A.3

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

• 7

• 4

• 5

• 6

Tags

CCSS.7.EE.B.4A

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

• 10x - 10

• -10x + 10

• 10x + 10

• -10x - 10

Tags

CCSS.6.EE.A.3

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

• 1

• 3

• 2

• 4

Tags

CCSS.8.EE.C.7B