Multiplying and Squaring Expressions

The video tutorial covers three main topics: multiplying binomials using the FOIL method, solving a system of equations related to purchasing fruits, and evaluating expressions by squaring them to verify equivalence. The instructor emphasizes the importance of writing down calculations to avoid mistakes and provides step-by-step guidance for each problem.

What is the first step in multiplying two binomials using the FOIL method?

• Divide the terms

• Add the coefficients

• Subtract the constants

• Multiply the first terms

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

• Outer

• Opposite

• Over

• Order

In the expression 2x^2 + 3(x + 4), what is the result of the outer product?

• 2x^3

• 8x^2

• 12

• 3x

What is the last product in the FOIL method for the expression 2x^2 + 3(x + 4)?

• 2x^3

• 12

• 3x

• 8x^2

What is the total weight of peaches and grapefruits bought if P pounds of peaches and G pounds of grapefruit equal 2.5 pounds?

• 4.5 pounds

• 1.5 pounds

• 2.5 pounds

• 3.5 pounds

If peaches cost $1.58 per pound and grapefruits cost $1.09 per pound, what is the total cost for 2.5 pounds?

• $2.46

• $4.46

• $5.46

• $3.46

What is the equation to find the total number of pounds of peaches and grapefruits?

• P + G = 3.5

• P + G = 2.5

• P + G = 1.5

• P + G = 4.5

What does it mean to square an expression?

• Add it to itself

• Divide it by itself

• Multiply it by itself

• Subtract it from itself

Which expression is equivalent to (3x^2 - y)^2?

• 9x^4 - y^2

• 9x^4 + y^2

• 9x^4 + 6x^2y + y^2

• 9x^4 - 6x^2y + y^2

What is the result of squaring 3x^2?

• 9x^2

• 3x^4

• 9x^4

• 6x^2