Algebraic Expressions and Properties

Algebraic Expressions and Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Aiden Montgomery

FREE Resource

The video tutorial explains how to use deductive reasoning and the distributive property to prove that (x + y)^2 equals x^2 + 2xy + y^2. It begins by introducing deductive reasoning, followed by a review of exponents and the distributive property. The tutorial then provides a step-by-step breakdown of the problem-solving process, demonstrating how to apply these mathematical concepts to reach the final equation. The video concludes with a summary of the logical steps taken to manipulate the initial expression into the final statement.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal of using deductive reasoning in this problem?

To logically derive a conclusion from a given statement

To memorize the steps

To avoid using any mathematical properties

To guess the final result

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the expression (x + y)^2 represent?

x multiplied by y

x minus y

x plus y

x plus y multiplied by itself

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the distributive property allow you to do?

Divide terms

Add terms together

Multiply a single term across terms inside a parenthesis

Subtract terms

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the expression (x + y) distributed in the problem?

It is added to each term

It is subtracted from each term

It is multiplied by each term

It is divided by each term

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of x times x?

x plus x

x

x squared

2x

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of y times y?

y

y squared

2y

y plus y

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of xy plus yx?

2xy

yx

xy squared

xy

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