Solving Equations and Properties

This video tutorial explains how to solve a linear equation by combining variables, rewriting the equation using the commutative property, and applying inverse operations. The instructor demonstrates the process step-by-step, emphasizing the importance of maintaining the correct signs and using properties of equality to simplify and solve the equation. The final solution is reached by isolating the variable and verifying the result.

What is the first step in solving an equation according to the video?

• Add a constant to both sides

• Multiply both sides by a constant

• Isolate the variable

• Combine like terms

What property is used to combine 5c and 2c?

• Associative Property

• Identity Property

• Commutative Property

• Distributive Property

What is the purpose of using the commutative property in solving equations?

• To combine like terms

• To add constants

• To change the order of operations

• To isolate the variable

How can subtraction be rewritten to simplify equations?

• As subtraction of positives

• As addition of negatives

• As multiplication

• As division

What is the result of 5c plus a negative 2c?

• 5c

• 3c

• 0c

• 7c

What is the result of combining 5c and -2c?

• 7c

• 3c

• 5c

• 0c

What does the equation 5c - 2c simplify to?

• 7c

• 3c

• 0c

• 5c

What operation is used to undo subtraction in the equation?

• Multiplication

• Division

• Addition

• Subtraction

What is the result of adding 9 to both sides of the equation 6 = 3c - 9?

• 15 = 3c

• 6 = 3c

• 9 = 3c

• 12 = 3c

What is the equation after adding 9 to both sides of 6 = 3c - 9?

• 9 = 3c

• 15 = 3c

• 12 = 3c

• 6 = 3c