Multi-Step Equations 3

The video tutorial covers solving equations with variables, emphasizing the importance of the order of operations. It explains how to isolate variables using inverse operations and distribution. The tutorial also highlights the need to verify solutions by substituting them back into the original equations.

What is the correct order of operations when solving mathematical equations?

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

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

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

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

What is the goal when solving an equation for a variable?

• To find the largest possible value for the variable

• To eliminate all numbers from the equation

• To make both sides of the equation zero

• To isolate the variable on one side of the equation

In the equation X + 3 = 7, what operation would you use to isolate X?

• Add 3 to both sides

• Multiply both sides by 3

• Subtract 3 from both sides

• Divide both sides by 3

If you have the equation 4X = 8, what operation would you use to solve for X?

• Add 4 to both sides

• Subtract 4 from both sides

• Divide both sides by 4

• Multiply both sides by 4

In the equation X/2 = 20, what operation would you use to solve for X?

• Multiply both sides by 2

• Subtract 2 from both sides

• Add 2 to both sides

• Divide both sides by 2

What is the purpose of distribution in solving equations?

• To simplify fractions

• To distribute coefficients across terms

• To eliminate variables

• To combine like terms

In the expression 3(X - 2), what is the result of distributing the coefficient?

• 3X + 6

• 3X - 6

• 3X - 2

• 3X + 2