Solving One-Step Equations with Rational Numbers

The video tutorial covers solving one-step equations with rational numbers, including fractions and decimals. It explains the concept of inverse operations, which are used to solve equations by performing the opposite operation on both sides of the equation. The tutorial provides examples for each type of operation: addition, subtraction, multiplication, and division, demonstrating how to isolate the variable and solve the equation.

What is the inverse operation of addition?

• Multiplication

• Division

• Subtraction

• Exponentiation

What must you do to both sides of an equation to maintain equality?

• Perform the same operation

• Subtract the same number

• Multiply by the same number

• Add the same number

In the example 5 + 3 = 8, what operation is used to isolate 5?

• Multiplication

• Subtraction

• Division

• Addition

What is the first step in solving the equation X + 1/2 = 3/4?

• Multiply both sides by 2

• Add 1/2 to both sides

• Divide both sides by 2

• Subtract 1/2 from both sides

How do you convert 1/2 to a fraction with a denominator of 4?

• Multiply numerator and denominator by 2

• Divide numerator and denominator by 2

• Add 2 to the numerator

• Subtract 2 from the denominator

What is the result of 3/4 - 2/4?

• 1/2

• 1/4

• 2

• 1

What is the first step in solving the equation 3.75 - 1.2?

• Subtract 1.2 from both sides

• Add 1.2 to both sides

• Divide both sides by 1.2

• Multiply both sides by 1.2

When adding decimals, what must you ensure?

• Line up the decimal points

• Divide the decimals

• Add zeros to the end

• Multiply the decimals

What is the result of 3.75 + 1.2?

• 4.85

• 4.95

• 5.05

• 5.15

What is the result of multiplying 5 by 1/2?

• 10

• 5

• 5/2

• 2.5