Solving One and Two Step Equations Mastery

This video tutorial covers solving one and two-step equations, focusing on isolating variables using inverse operations. It explains handling equations with fractions by multiplying by reciprocals and addresses special cases where variables are in the numerator. The tutorial emphasizes checking work and understanding integer rules, providing step-by-step examples for clarity.

What is the goal when solving an equation?

• To get the variable on both sides of the equal sign

• To get the variable all by itself on one side of the equal sign

• To combine all terms on one side of the equal sign

• To eliminate all variables from the equation

How do you combine the signs in the expression 'plus a negative'?

• Make it a positive

• Make it a negative

• Leave it as it is

• Make it zero

What is the inverse operation of addition?

• Multiplication

• Division

• Addition

• Subtraction

If you have the equation X + 15 = -3, what is the first step to solve for X?

• Subtract 15 from both sides

• Multiply both sides by 15

• Divide both sides by 15

• Add 15 to both sides

How do you solve the equation X divided by 5 equals 7?

• Subtract 5 from both sides

• Add 5 to both sides

• Divide both sides by 5

• Multiply both sides by 5

What is the reciprocal of 1/3?

• 1

• 3/1

• 1/3

• 3

In a two-step equation, what is the first type of operation you should undo?

• Parentheses

• Exponentiation

• Addition and subtraction

• Multiplication and division

How do you solve the equation 2X + 9 = -7?

• Subtract 9 from both sides, then divide by 2

• Divide both sides by 2, then add 9

• Add 9 to both sides, then multiply by 2

• Multiply both sides by 2, then subtract 9

What should you do first when solving an equation with a variable in the numerator and a number in the denominator?

• Add the denominator to both sides

• Subtract the denominator from both sides

• Multiply both sides by the denominator

• Divide both sides by the numerator

In the equation (X + 7) / 5 = -3, what is the first step to isolate X?

• Add 7 to both sides

• Subtract 7 from both sides

• Divide both sides by 5

• Multiply both sides by 5