Consecutive Integers and Their Products

The video tutorial explains how to find pairs of consecutive integers whose product is 110. It begins by setting up the equation x(x+1)=110, then solves the quadratic equation by factoring. The solutions are verified to ensure they are correct, resulting in the integer pairs (10, 11) and (-11, -10).

What is the product of two consecutive integers that we are trying to find?

• 100

• 110

• 120

• 130

If x is the smallest integer, what expression represents the next consecutive integer?

• x + 1

• x - 1

• x + 2

• x

What type of equation do we get when we set up the product of two consecutive integers?

• Quadratic equation

• Cubic equation

• Exponential equation

• Linear equation

Which of the following pairs of numbers are factors of -110 that add up to 1?

• -10 and 11

• -11 and 10

• 10 and -11

• 11 and -10

What is the value of x when solving the equation x - 10 = 0?

• 10

• -10

• -11

• 11

What is the value of x when solving the equation x + 11 = 0?

• -10

• 10

• -11

• 11

What are the consecutive positive integers whose product is 110?

• 12 and 13

• 11 and 12

• 10 and 11

• 9 and 10

What are the consecutive negative integers whose product is 110?

• -10 and -11

• -9 and -10

• -12 and -13

• -11 and -12

Why is it important to calculate x + 1 for both values of x?

• To find the sum of integers

• To verify the product

• To check for errors

• To find both pairs of consecutive integers

What should you remember when solving for x in this problem?

• The product is always positive

• The integers must be even

• There are two possible values for the smallest integer

• Only one solution is possible