Solving Linear Equations and Inequalities

This video tutorial covers solving multi-step equations with variables on both sides. It includes examples of equations with infinite solutions, no solutions, and how to simplify expressions before solving. The tutorial emphasizes the importance of getting variables to the same side and using inverse operations. It also demonstrates the use of the distributive property and rearranging terms to solve equations effectively.

What is the first step when solving multi-step equations with variables on both sides?

• Divide both sides by the same number

• Add all constants to one side

• Multiply both sides by the same number

• Get the variables to the same side

In Example 1, what does the equation 3 = 3 indicate?

• No solution

• Unique solution

• Infinite solutions

• Negative solution

In Example 2, why is it beneficial to keep the variable positive?

• It simplifies the equation

• It is required by the equation

• It reduces the chance of errors

• It makes calculations faster

In Example 3, what is the value of q after solving the equation?

• 9

• 3

• 12

• 6

In Example 4, what does the equation -24 = 5 indicate?

• Unique solution

• Infinite solutions

• No solution

• Negative solution

In Example 5, what is the result of simplifying the expression k - 3k?

• 0k

• 3k

• 2k

• -2k

In Example 6, what property is used to simplify equations with parentheses?

• Distributive property

• Commutative property

• Identity property

• Associative property

In Example 7, what is the result of simplifying g - 3g?

• 3g

• 0g

• -2g

• 2g

In Example 8, what is the result of simplifying 5g + 3g?

• 0g

• 8g

• 2g

• 5g

In Example 9, what does the equation 2a + 3 = 3 + 2a indicate?

• No solution

• Negative solution

• Unique solution

• Infinite solutions