Solving Equations with Distributive Property

The video tutorial explains how to solve an algebraic equation by simplifying it using the distributive property and isolating variables. The instructor demonstrates the process step-by-step, emphasizing the importance of simplifying expressions and using inverse operations to find the solution. The final solution for the variable is determined, and the instructor provides a clear explanation of each step involved.

Why is it important to simplify the equation before solving it?

• To make the equation look nicer

• To ensure the variable is isolated

• To avoid making mistakes

• To make the equation shorter

Tags

CCSS.6.EE.A.3

What property is used to remove the parentheses in the equation?

• Associative Property

• Identity Property

• Distributive Property

• Commutative Property

Tags

CCSS.6.EE.A.3

What is the result of applying the distributive property to 5 * (y - 4)?

• 5y - 4

• 5y - 20

• 5y + 4

• 5y + 20

Tags

CCSS.7.EE.B.4A

After distributing, what is the next step in solving the equation?

• Add constants

• Combine like terms

• Subtract constants

• Divide by the coefficient

Tags

CCSS.7.EE.B.4A

Why do we move the variable with the smaller coefficient to the other side?

• To make the equation simpler

• To isolate the variable

• To balance the equation

• To avoid negative numbers

Tags

CCSS.7.EE.B.4A

What operation is used to eliminate 5y from the left side of the equation?

• Division

• Multiplication

• Subtraction

• Addition

Tags

CCSS.7.EE.B.4A

What is the result of subtracting 5y from both sides of the equation?

• -20 = 7y + 7

• -20 = 14y + 7

• -20 = 9y + 7

• -20 = 5y + 7

Tags

CCSS.8.EE.C.7B

What is the next step after combining like terms?

• Divide by the coefficient

• Subtract constants

• Add constants

• Multiply by the coefficient

Tags

CCSS.7.EE.B.4A

What is the final value of y after solving the equation?

• 3

• -3

• 7

• -7

Tags

CCSS.8.EE.C.7B

What is the purpose of verifying the solution?

• To check for calculation errors

• To ensure the equation is balanced

• To confirm the variable value

• All of the above

Tags

CCSS.8.EE.C.7B