Verifying Solutions of Linear Equations

Mr. Buffington introduces the concept of isolating variables in equations, emphasizing the property of equality. He demonstrates solving simple addition and subtraction equations, progressing to more complex problems involving decimals and negative numbers. The video highlights the importance of maintaining balance in equations and checking solutions for accuracy.

What is the property of equality in equations?

• The equation must always equal zero.

• Both sides must have the same variables.

• Whatever you do to one side, you must do to the other.

• The sum of both sides must be zero.

In the equation x + 1 = 3, what operation is needed to isolate x?

• Divide both sides by 1

• Multiply both sides by 1

• Subtract 1 from both sides

• Add 1 to both sides

After isolating x in x + 1 = 3, what is the value of x?

• 4

• 1

• 2

• 3

How do you verify the solution of x = 2 in the equation x + 1 = 3?

• Check if 2 / 1 equals 3

• Check if 2 * 1 equals 3

• Check if 2 - 1 equals 3

• Check if 2 + 1 equals 3

In the equation t - 15 = 25, what operation is needed to isolate t?

• Divide both sides by 15

• Add 15 to both sides

• Subtract 15 from both sides

• Multiply both sides by 15

What is the value of t in the equation t - 15 = 25?

• 40

• 10

• 50

• 25

How do you verify the solution of t = 40 in the equation t - 15 = 25?

• Check if 40 - 15 equals 25

• Check if 40 + 15 equals 25

• Check if 40 * 15 equals 25

• Check if 40 / 15 equals 25

In the equation h + 12.5 = -24, what operation is needed to isolate h?

• Add 12.5 to both sides

• Subtract 12.5 from both sides

• Multiply both sides by 12.5

• Divide both sides by 12.5

What is the value of h in the equation h + 12.5 = -24?

• -12.5

• -24

• -11.5

• -36.5

How do you verify the solution of h = -36.5 in the equation h + 12.5 = -24?

• Check if -36.5 + 12.5 equals -24

• Check if -36.5 - 12.5 equals -24

• Check if -36.5 * 12.5 equals -24

• Check if -36.5 / 12.5 equals -24