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Consecutive Integers and Quadratic Equations

Consecutive Integers and Quadratic Equations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve a problem involving the sum of squares of two consecutive integers equaling 421. It begins by defining consecutive integers and formulating the problem into a quadratic equation. The tutorial then demonstrates how to solve the equation by expanding and factoring it, ultimately finding two sets of consecutive integers that satisfy the condition. The video concludes with a summary of the solution process and emphasizes the strategy used to factor large numbers.

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8 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sum of the squares of two consecutive integers given in the problem?

450

421

500

400

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following pairs are examples of consecutive integers?

10 and 12

15 and 16

20 and 22

25 and 27

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If x and x+1 are consecutive integers, what is the equation for the sum of their squares?

x^2 + (x+1)^2 = 421

x^2 + x^2 = 421

x + (x+1) = 421

x^2 + x = 421

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expanded form of (x+1)^2?

x^2 + 1

x^2 + 2x + 1

x^2 + 2x

x^2 + 1x + 1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the equation 2x^2 + 2x - 420 = 0?

x^2 + x - 100 = 0

x^2 + x - 200 = 0

x^2 + x - 210 = 0

x^2 + x - 220 = 0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the product of the two numbers whose sum is 1 and product is -210?

200

210

-210

-200

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following pairs of numbers have a product of 210 and a difference of 1?

30 and 7

15 and 14

25 and 8

20 and 10

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