Solving Two-Step Equations with Integers

This video tutorial covers solving two-step equations using integer operations. It begins with an introduction to key terminology such as variables, coefficients, and constants. The tutorial then demonstrates the process of solving two-step equations, emphasizing the importance of balancing equations and using inverse operations. It includes practice problems and explains how to handle integer operations, especially with negative numbers. The video concludes with applying these concepts to solve word problems, providing real-life context to the mathematical principles discussed.

What does a variable represent in an equation?

• The process of solving the equation

• The number being multiplied by the variable

• A fixed number without a variable

• A quantity represented by a letter

What does the constant term in an equation represent?

• The operation needed to solve the equation

• A variable's value

• A number without a variable

• The coefficient's value

What is the main goal when solving equations?

• To gather all the constants together

• To find the value for the variable that makes the equation true

• To isolate the coefficient

• To multiply both sides by the variable

How do you remove the constant term in a two-step equation?

• By multiplying

• By isolating the variable

• By dividing

• By adding or subtracting

What operation is used to remove the coefficient in a two-step equation?

• Multiplication or Division

• None of the above

• Subtraction

• Addition

What is the result of dividing both sides of the equation by the coefficient?

• Isolating the constant

• Balancing the equation

• Simplifying the equation

• Isolating the variable

In the equation 3x + 10 = 22, what is the first step to solve for x?

• Multiply both sides by 3

• Divide both sides by 3

• Subtract 10 from both sides

• Add 10 to both sides

When solving an equation with a negative coefficient, what is crucial to remember?

• To add the coefficient to both sides

• To ignore the negative sign

• Not to lose the negative sign during operations

• To multiply by the coefficient instead of dividing

In the word problem about Mark and Brian, what does 2B - 8 represent?

• Brian is twice as tall as Mark minus 8 inches

• Mark and Brian are 8 inches apart in height

• Mark is 8 inches shorter than twice Brian's height

• Brian is 8 inches taller than Mark

How many lessons did Stephanie register for if she paid a total of $225?

• 9 lessons

• 10 lessons

• 11 lessons

• 12 lessons