Lydia's Inheritance and Algebra Concepts

This video tutorial covers solving equations and a word problem. It begins with an introduction to solving equations, followed by a detailed walkthrough of two equations using different methods. The tutorial concludes with a word problem involving inheritance and investments, demonstrating how to apply equation-solving skills to real-world scenarios.

What is the first step in solving the equation 7w + 20 - w = 5?

• Subtract 20 from both sides

• Distribute the 7

• Add 5 to both sides

• Combine like terms

After distributing and combining like terms, what is the simplified form of the equation 7w + 20 - w = 5?

• 6w + 140 = 5

• 7w - w = 5

• 7w + 20 = 5

• 6w = 145

What is the final value of w in the equation 7w + 20 - w = 5?

• -130/6

• -135/5

• -130/5

• -135/6

Which method can be used to solve the equation 9(x - 2) = 3x + 3?

• Only addition

• Only distribution

• Only factoring

• Distribution or division

What is the simplified form of the equation after dividing both sides by 3 in 9(x - 2) = 3x + 3?

• 3x - 6 = x + 1

• 3x = x + 1

• 3x - 6 = 3x + 3

• x - 2 = x + 1

In the word problem, what fraction of Lydia's inheritance is invested in the high-interest bank?

• 2/5

• 1/5

• 3/5

• 4/5

What additional amount does Lydia invest in the stock market along with 2/5 of her inheritance?

• $500

• $400

• $200

• $300

What percentage of her stock market investment does Lydia lose?

• 10%

• 15%

• 20%

• 25%

What is the final equation used to find the initial amount Lydia inherited?

• 18/50 m = 400

• 15/50 m = 400

• 16/50 m = 400

• 17/50 m = 400

How much money did Lydia initially inherit?

• $1,176.47

• $1,150.00

• $1,200.00

• $1,100.00