Solving Proportions Using the Distributive Property

This lesson covers solving more complex proportions by using cross multiplication and the distributive property. It includes multiple examples demonstrating how to handle multi-step equations, emphasizing the importance of maintaining the equal sign and correctly handling negative numbers. The video encourages students to practice independently and provides solutions for variables W, A, and D, with a focus on rounding decimal answers appropriately.

What mathematical property is reintroduced to solve more complex proportions?

• Associative property

• Distributive property

• Commutative property

• Identity property

Tags

CCSS.7.EE.B.4A

What is the first step in solving the equations discussed in the video?

• Addition

• Cross multiplication

• Subtraction

• Division

Tags

CCSS.7.EE.B.4A

After distributing, what should you do if variables appear on both sides of the equation?

• Divide both sides

• Subtract the smaller variable term from the larger

• Combine like terms

• None of the above

What is the result of subtracting 6 from both sides in the equation -3x + 6 = -15?

• -3x = -9

• 3x = -21

• -3x = -21

• 3x = 9

Tags

CCSS.7.EE.B.4A

In the context of the video, what does solving multi-step equations typically involve?

• Only addition

• Only division

• Multiple operations including division and subtraction

• Only multiplication

Tags

CCSS.8.EE.C.7B

What should you be careful about when subtracting variables on both sides of an equation?

• Losing the equal sign

• All of the above

• Changing the signs of numbers

• Forgetting to write the variable

Tags

CCSS.6.EE.B.7

How should you handle non-integer solutions in this unit?

• Round to the nearest hundredth

• Convert to a fraction

• Round to the nearest tenth

• Leave as an improper fraction

Tags

CCSS.7.EE.B.3

What is the final step in solving the equation -7d = -51?

• Add 7 to both sides

• Subtract 51 from both sides

• Multiply both sides by -7

• Divide both sides by -7

Tags

CCSS.6.EE.B.7

What should you do if variables cancel out during the solving process?

• Restart the problem

• Write zero as the result

• Ignore the step

• Consult a textbook

Tags

CCSS.8.EE.C.7B

What is the correct solution for the equation 2(G - 6) = 9(G - 7) after simplification?

• G = 7.00

• G = 7.25

• G = 7.50

• G = 7.29