Solving Equations and Properties

This video tutorial covers solving more complex equations than previously discussed, focusing on equations with integers, fractions, and decimals. It demonstrates solving equations by combining like terms, using the addition and division properties of equality, and applying the distributive property. The video also highlights common errors and provides a preview of the next video, which will address equations involving fractions.

What is the main focus of the first video in the series?

• Equations with complex numbers

• Equations with variables on both sides

• Equations with integers

• Equations with fractions

When combining like terms, what should you do if the variables are on the same side of the equation?

• Move one variable to the other side

• Change the sign of one variable

• Simply combine them as they are

• Ignore the variables

In Example A, what is the first step after combining like terms?

• Divide both sides by 7

• Multiply both sides by 7

• Add 23 to both sides

• Subtract 23 from both sides

What is the final solution for M in Example A?

• M = 6

• M = 5

• M = 4

• M = 3

In Example B, what operation is used after combining like terms?

• Division

• Subtraction

• Multiplication

• Addition

What is the final value of M in Example B?

• M = 7

• M = 6

• M = 5

• M = 4

In Example C, what property is used to isolate the variable Y?

• Addition property of equality

• Subtraction property of equality

• Multiplication property of equality

• Division property of equality

What is the solution for Y in Example C?

• Y = 5

• Y = 2

• Y = 3

• Y = 4

In Example D, what common mistake is highlighted when using the distributive property?

• Forgetting to multiply all terms

• Forgetting to switch the sign

• Forgetting to add terms

• Forgetting to divide terms

What is the simplified solution for X in Example D?

• X = -7/4

• X = -7/16

• X = -7/2

• X = -7/8