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