Operations and Inverses in Algebra

This tutorial teaches how to solve one-step equations involving rational numbers. It covers identifying variables, using inverse operations, and applying the property of equality to isolate variables. Examples include solving equations with fractions and decimals, and using multiplication and division. The tutorial emphasizes understanding additive inverses and the reciprocal method for division.

What is the first step in solving a one-step equation with rational numbers?

• Identify the variable

• Use a calculator

• Determine the solution

• Check the final answer

Which operation is used to eliminate a constant added to a variable?

• Addition

• Subtraction

• Multiplication

• Division

In the equation x + 7.2 = 5.3, what is the additive inverse of 7.2?

• -7.2

• 5.3

• -5.3

• 7.2

How do you enter a fraction in a calculator according to the tutorial?

• Press the fraction button

• Use the green alpha button and y equals

• Enter the numbers directly

• Use the division key

What is the additive inverse of -8.5?

• 8.5

• -8.5

• 16

• 0

When dealing with coefficients, what operation should be used instead of division?

• Multiplication by the reciprocal

• Addition

• Division by the reciprocal

• Subtraction

What does the dot symbol in an equation represent?

• Division

• Multiplication

• Subtraction

• Addition

In the equation 0.3x = 16, what is the inverse operation to solve for x?

• Multiply by 0.3

• Divide by 0.3

• Subtract 0.3

• Add 0.3

What mistake should be avoided when entering a negative number in a calculator?

• Using a subtraction sign instead of a negative sign

• Using a division sign

• Using an addition sign

• Using a multiplication sign

What is the reciprocal of 2/3?

• 3/1

• 1/2

• 2/3

• 3/2