Solving Equations and Integers

The video tutorial covers solving equations, starting with a simple equation and progressing to multi-step equations with variables on both sides. It then explores word problems involving consecutive integers, including both odd and even integers, and demonstrates how to find these integers given a specific sum. The tutorial emphasizes the importance of showing work and understanding the process of isolating variables and using inverse operations.

What is the goal of solving any equation?

• To get the variable by itself on one side

• To combine all terms

• To eliminate all fractions

• To multiply all terms by the same number

What is the inverse operation of division?

• Division

• Addition

• Subtraction

• Multiplication

What is the first step in solving any equation?

• Multiply both sides by the same number

• Isolate the variable

• Combine like terms

• Simplify both sides of the equation

What should you do if you have a fraction with a variable in the denominator?

• Add the same variable to both sides

• Multiply both sides by the denominator

• Subtract the denominator from both sides

• Divide both sides by the numerator

How do you get rid of a fraction in an equation?

• Divide both sides by the numerator

• Subtract the denominator from both sides

• Multiply everything by the denominator

• Add the numerator to both sides

What does 'consecutive' mean in the context of integers?

• Numbers that are prime

• Numbers that are even

• Numbers that are right next to each other without skipping

• Numbers that are multiples of each other

If the first of four consecutive integers is x, what is the second integer?

• x + 4

• x + 3

• x + 1

• x + 2

What is the sum of four consecutive integers if the first integer is 17?

• 74

• 68

• 70

• 72

If the first of three consecutive odd integers is x, what is the third integer?

• x + 4

• x + 3

• x + 2

• x + 1

What are the two consecutive even integers whose sum is -74?

• -38 and -36

• -38 and -40

• -37 and -39

• -36 and -38