Solving Equations and Properties

The video tutorial covers solving a system of equations using two strategies: the distributive property and simplification without it. The instructor emphasizes keeping numbers simple and demonstrates both methods step-by-step. The solution is verified by substituting back into the original equation, confirming that x equals 0.

What are the two strategies suggested for solving the equation in the problem?

• Using the distributive property and simplifying without it

• Graphing the equations and using substitution

• Using matrices and elimination

• Factoring and completing the square

What is the first step in using the distributive property to solve the equation?

• Add a constant to both sides

• Subtract 5 from both sides

• Distribute the 15 to both terms inside the parentheses

• Multiply both sides by 2

What does adding a negative number equate to?

• Dividing by a negative number

• Adding a positive number

• Subtracting a positive number

• Multiplying by zero

How is the expression simplified after distributing the 15?

• By multiplying by 2

• By combining like terms

• By dividing by 3

• By adding 10 to both sides

What is the alternative strategy to solve the equation without using the distributive property?

• Simplifying by dividing 15 by 5

• Using the quadratic formula

• Completing the square

• Graphing the equation

What is the multiplicative inverse of 5?

• 5

• 0

• 10

• 1/5

What is the result of dividing 15 by 5 in the alternative strategy?

• 1

• 4

• 2

• 3

What is the final solution for x in the equation?

• x = -1

• x = 1

• x = 2

• x = 0

How do you verify the solution x = 0?

• By checking with a different equation

• By using a calculator

• By graphing the solution

• By substituting x = 0 back into the original equation

What is the result when substituting x = 0 into the equation 15x + (-3)?

• 3

• -3

• 0

• -9