Exploring Properties of Equality in Addition and Subtraction

The video tutorial covers solving linear equations in one variable using properties of equality. It explains how to use addition and subtraction to isolate variables and solve equations. The tutorial also emphasizes the importance of checking solutions to ensure accuracy. Practice problems are provided to reinforce the concepts, and advanced techniques are introduced for solving more complex equations.

What property allows you to add or subtract the same value from both sides of an equation without changing its truth?

• Multiplication Property of Equality

• Distributive Property

• Addition and Subtraction Properties of Equality

• Division Property of Equality

If you have the equation x + 7 = 9, what is the first step to solve for x?

• Divide both sides by 7

• Multiply both sides by 7

• Subtract 7 from both sides

• Add 7 to both sides

In the equation x - 3 = -4, what operation would you use to isolate x?

• Subtract 3 from both sides

• Add 3 to both sides

• Divide both sides by 3

• Multiply both sides by 3

Why is it important to check your solution by substituting it back into the original equation?

• To find a different solution

• To change the equation

• To ensure the solution is correct

• To simplify the equation

What is the solution to the equation x - 2 = 8?

• x = 6

• x = 10

• x = -10

• x = -6

In the equation -2 + y = 4, what is the value of y?

• y = -6

• y = 6

• y = -2

• y = 2

When combining like terms in the equation 2x - x - 3 = 14, what is the simplified form?

• x - 3 = 14

• 2x - 3 = 14

• x + 3 = 14

• 2x + 3 = 14

What is the solution to the equation x - 3 = 17?

• x = 14

• x = 20

• x = -14

• x = -20

How do you handle parentheses in the equation -2(x + 6) + 3x = -6?

• Combine like terms

• Subtract 2 from both sides

• Add 2 to both sides

• Use the distributive property

What is the final solution to the equation -6x + 7x - 6 = -6?

• x = 6

• x = 0

• x = -1

• x = 1