Exploring Odd and Even Integer Equations

This video tutorial covers writing and solving algebraic equations, focusing on consecutive integers. It explains the concept of consecutive integers, both odd and even, and how to represent unknown values using variables. The tutorial demonstrates how to convert sentences into algebraic equations and solve them using operations like addition, subtraction, multiplication, and division. It includes examples of solving problems involving consecutive odd and even integers, emphasizing the importance of understanding clue words and checking solutions. The lesson concludes with a recap of key concepts and problem-solving strategies.

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

• Only even numbers

• In order, one after another

• Only odd numbers

• Random order

Which variable is used to represent an unknown integer in this lesson?

• z

• y

• a

• x

What should you do if a sentence says '7 away from an unknown number'?

• Multiply the unknown number by 7

• Add 7 to the unknown number

• The unknown number minus 7

• 7 minus the unknown number

How do you write 'seven times a number decreased by two' in algebraic form?

• 7x + 2

• 7 - 2x

• 7x - 2

• 7 + 2x

What is the first step in solving the equation 7x - 2 = 19?

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by 7

• Divide both sides by 7

If the sum of two consecutive odd integers is -8, what is the first integer?

• -7

• -5

• -1

• -3

What is the second consecutive odd integer if the first is -5?

• -3

• -9

• -7

• -1

How do you represent three consecutive even integers starting from an unknown number x?

• x, x+2, x+4

• x, x+3, x+6

• x, x+4, x+8

• x, x+1, x+2

What is the middle integer if the sum of three consecutive even integers is 36?

• 10

• 12

• 14

• 16

Which method is preferred for solving the sum of three consecutive even integers?

• Starting from the middle integer

• Starting from the largest integer

• Starting from the smallest integer

• Starting from any integer