Algebraic Expressions and Properties

To logically derive a conclusion from a given statement

To memorize the steps

To avoid using any mathematical properties

To guess the final result

x multiplied by y

x minus y

x plus y

x plus y multiplied by itself

Divide terms

Add terms together

Multiply a single term across terms inside a parenthesis

Subtract terms

It is added to each term

It is subtracted from each term

It is multiplied by each term

It is divided by each term

x plus x

x

x squared

2x

y

y squared

2y

y plus y

2xy

yx

xy squared

xy

x squared plus 2xy plus y squared

2x plus 2y

x squared plus y squared

x plus y

To skip steps

To confuse the learner

To make the problem harder

To ensure the result is derived correctly

Properties of division

Properties of exponents and distributive property

Properties of addition

Properties of subtraction