Exploring Unit 7: Adding and Subtracting Rational Expressions

The video tutorial covers various algebraic techniques including adding like terms, distributing negative one, multiplying terms, and using the FOIL method. It also explains the concept of difference of squares and how to calculate the area of shaded regions using algebraic expressions. The tutorial provides step-by-step instructions and encourages students to pause and attempt problems independently.

What is the result of adding 3x² and x²?

• 2x²

• x⁴

• 4x²

• 3x

How do you distribute a negative sign to the terms inside the parentheses?

• Add -1 to each term

• Divide each term by -1

• Subtract -1 from each term

• Multiply each term by -1

What is the product of 9 times 3 in the context of multiplying terms?

• 12

• 18

• 36

• 27

When using the FOIL method, what does the 'O' stand for?

• Outside

• Over

• Opposite

• Outer

What is the result of multiplying y² by -4y?

• -4y³

• 4y³

• -4y²

• 4y²

How do you combine like terms in the expression 4y³ + 5y² - 6y²?

• 4y³ - 11y²

• 4y³ + y²

• 4y³ - y²

• 4y³ + 11y²

What is the formula for finding the area of a shaded region?

• Length + Width

• Length × Width

• Large Area - Small Area

• Small Area - Large Area

In the context of finding the area of a shaded region, what does subtracting the small area from the large area represent?

• The shaded area

• The perimeter

• The unshaded area

• The total area

What is the result of multiplying 3x by 2x?

• 6x

• 6x²

• 5x

• 5x²

How do you handle a subtraction sign when distributing it to terms inside parentheses?

• Ignore it

• Add it to each term

• Multiply each term by -1

• Divide each term by -1