Solving One-Step Equations with Inverse Operations

The video tutorial covers solving simple equations, also known as one-step equations, using addition, subtraction, multiplication, and division. It introduces key vocabulary such as variables, equations, solutions, and inverse operations. The tutorial explains the properties of equality for addition, subtraction, multiplication, and division, and provides examples to illustrate these concepts. It also discusses the use of the constant pi in equations and emphasizes the importance of checking solutions. The lesson concludes with a focus on the order of operations.

What is a variable in the context of simple equations?

• A symbol that represents one or more numbers

• A statement that two expressions are equal

• A value that makes an equation true

• Two numbers whose sum is zero

Which property states that adding the same number to each side of an equation produces an equivalent equation?

• Division Property of Equality

• Multiplication Property of Equality

• Subtraction Property of Equality

• Addition Property of Equality

If you have the equation x - 4 = -6, what is the value of x?

• -10

• 2

• 10

• -2

What is the inverse operation of addition?

• Addition

• Subtraction

• Division

• Multiplication

What is the result of solving the equation 0.7 = y + 1.9?

• y = -2.6

• y = 2.6

• y = -1.2

• y = 1.2

Which property states that multiplying the same number to each side of an equation produces an equivalent equation?

• Subtraction Property of Equality

• Multiplication Property of Equality

• Addition Property of Equality

• Division Property of Equality

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

• x = 16

• x = 12

• x = 1

• x = 7

What is the reciprocal of -3/4?

• 4/3

• -4/3

• 3/4

• -3/4

If you have the equation y / 4 = -7, what is the value of y?

• y = -4

• y = -28

• y = 4

• y = 28

What is the solution to the equation 6π = πx?

• x = 6

• x = 3

• x = 1

• x = 12