Consecutive Integer Word Problems Explained

The video tutorial covers solving quadratic word problems, focusing on consecutive integer problems. It demonstrates how to define variables, write equations, solve them, and verify solutions. Two examples are provided: one with consecutive integers and another with consecutive even integers. An alternative approach to solving these problems is also discussed, showing that different setups can lead to the same solution.

What is the first step in solving quadratic word problems?

• Drawing a picture

• Defining your variables

• Writing the solution

• Checking the answer

In the first example, what is the equation formed from the problem statement?

• x^2 + 2x = 30 + x

• x^2 + 2x = 29 + x

• x^2 + 2x = 30 - x

• x^2 + 2x = 29 - x

What are the two possible values of x in the first example?

• 6 and -4

• 5 and -4

• 5 and -6

• 6 and -5

Which set of integers is a solution to the first example?

• 3, 4, 5

• 5, 6, 7

• 4, 5, 6

• 6, 7, 8

In the second example, what is the equation formed from the problem statement?

• (x + 2)^2 - 6x = 240

• (x + 4)^2 - 6x = 240

• (x + 4)^2 - 6x = 250

• (x + 2)^2 - 6x = 250

What are the two possible values of x in the second example?

• 16 and -14

• 14 and -16

• 18 and -12

• 12 and -18

Which set of integers is a solution to the second example?

• 10, 12, 14

• 16, 18, 20

• 12, 14, 16

• 14, 16, 18

In the alternative method for the second example, what is the equation formed?

• x^2 - 6(x - 2) = 240

• x^2 - 6(x - 4) = 240

• x^2 - 6(x - 8) = 240

• x^2 - 6(x - 6) = 240

What are the two possible values of x in the alternative method for the second example?

• 16 and -14

• 12 and -18

• 18 and -12

• 14 and -16

Which set of integers is a solution to the alternative method for the second example?

• 16, 14, 12

• 18, 16, 14

• 12, 10, 8

• 14, 12, 10