Solving Two-Step Equations and Operations

The video tutorial from moomoomath explains how to solve two-step equations with variables on both sides. It begins with an introduction to variables and sets up an example problem. The instructor demonstrates how to solve the equation by moving variables and constants to one side, ensuring the variable remains positive. The solution is verified by substituting it back into the original equation, using the order of operations (PEMDAS) to ensure accuracy. The tutorial emphasizes checking work to confirm the solution is correct.

What is the primary goal when solving two-step equations with variables on both sides?

• To eliminate all variables

• To isolate the variable on one side

• To multiply both sides by zero

• To add more variables

In the equation 5x + 2 = 3x - 12, what is the first step to start solving it?

• Add 12 to both sides

• Subtract 3x from both sides

• Multiply both sides by 2

• Divide both sides by x

Why is it beneficial to keep the variable positive when solving equations?

• It helps in graphing the equation

• It is required for all equations

• It is a rule of algebra

• It makes calculations easier

What operation is used to combine like terms in the equation 2x + 2 = -12?

• Division

• Addition

• Subtraction

• Multiplication

After simplifying the equation to 2x = -14, what is the next step?

• Multiply both sides by x

• Divide both sides by 2

• Subtract 2 from both sides

• Add 14 to both sides

What is the solution to the equation 2x = -14?

• x = -7

• x = -14

• x = 14

• x = 7

Why is it important to check the solution in the original equation?

• To find a different solution

• To change the equation

• To practice more equations

• To ensure the solution is correct

What does PEMDAS stand for in the order of operations?

• Parentheses, Exponents, Multiplication, Division, Subtraction, Addition

• Parentheses, Exponents, Addition, Subtraction, Multiplication, Division

• Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

• Parentheses, Exponents, Division, Multiplication, Addition, Subtraction

What is the result of 5 times -7 plus 2?

• -33

• -35

• -31

• -37

What is the final check to confirm the solution is correct?

• Graphing the equation

• Substituting the solution back into the original equation

• Rewriting the equation

• Solving a different equation