Consecutive Even Integers and Equations

The video tutorial explains how to find the smallest of four consecutive even integers whose sum is 292. It begins by defining consecutive even integers and setting up an equation to solve for the smallest integer. The tutorial then walks through solving the equation step-by-step, including combining like terms and isolating the variable. Finally, it verifies the solution by checking that the sum of the integers equals 292.

What is the sum of the four consecutive even integers in the problem?

• 310

• 280

• 292

• 300

What is the defining characteristic of consecutive even integers?

• They decrease by 2

• They increase by 1

• They are divisible by 2

• They are odd numbers

If the first consecutive even integer is X, what is the expression for the second integer?

• X + 1

• X + 2

• X + 3

• X + 4

What is the equation formed to find the smallest integer?

• X + X + 1 + X + 2 + X + 3 = 292

• X + X + 2 + X + 4 + X + 6 = 292

• X + X + 3 + X + 6 + X + 9 = 292

• X + X + 4 + X + 8 + X + 12 = 292

What is the first step in solving the equation for X?

• Subtract 12

• Combine like terms

• Multiply by 4

• Divide by 4

After combining like terms, what does the equation simplify to?

• 4X + 10 = 292

• 4X + 16 = 292

• 4X + 12 = 292

• 4X + 14 = 292

What operation is used to isolate the variable X in the equation 4X + 12 = 292?

• Multiplication

• Division

• Subtraction

• Addition

What is the value of X after solving the equation?

• 69

• 70

• 68

• 71

What is the sum of the four integers 70, 72, 74, and 76?

• 290

• 292

• 294

• 296

Why is it important to verify the solution by checking the sum?

• To find the largest integer

• To validate the solution is correct

• To confirm the integers are consecutive

• To ensure the integers are odd