Justifying Solutions in One Step Equations

The video tutorial on 'The Magic of Math' channel covers solving linear equations using properties of equality. It introduces key vocabulary such as equations, solutions, and inverse operations. The tutorial explains the addition, subtraction, multiplication, and division properties of equality with examples, demonstrating how to solve and justify each step. The lesson concludes with a summary and an invitation to subscribe for more content.

What is a linear equation in one variable?

• An equation with two variables.

• An equation with multiple variables and an equal sign.

• An equation with one variable and no equal sign.

• An equation with one variable and an equal sign.

What is the inverse operation of addition?

• Subtraction

• Division

• Addition

• Multiplication

What does the addition property of equality state?

• Adding the same number to each side of an equation produces an equivalent equation.

• Dividing the same number from each side of an equation produces an equivalent equation.

• Multiplying the same number to each side of an equation produces an equivalent equation.

• Subtracting the same number from each side of an equation produces an equivalent equation.

What is the solution to the equation x - 3 = 4?

• x = 1

• x = -7

• x = -1

• x = 7

What is the solution to the equation m + 5 = -9?

• m = -14

• m = 4

• m = 14

• m = -4

What is the solution to the equation x - 2/3 = -4/3?

• x = 2/3

• x = 4/3

• x = -2/3

• x = -4/3

What is the inverse operation of multiplication?

• Addition

• Subtraction

• Division

• Multiplication

What does the multiplication property of equality state?

• Dividing the same number from each side of an equation produces an equivalent equation.

• Subtracting the same number from each side of an equation produces an equivalent equation.

• Multiplying the same number to each side of an equation produces an equivalent equation.

• Adding the same number to each side of an equation produces an equivalent equation.

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

• x = 2

• x = 4

• x = 6

• x = 8

What is the solution to the equation x * π = 8π?

• x = π

• x = 8

• x = 8π

• x = 1