Complex Numbers and Basic Algebra

The video tutorial covers several mathematical concepts, including identifying equivalent expressions from binomial products, using the box method for multiplying complex numbers, solving equations with square and cube roots, plotting complex numbers on the complex plane, and analyzing growth patterns in investment accounts. The tutorial provides step-by-step explanations and examples to help students understand these concepts.

What is the result of distributing 3 * -8 in the expression?

• -4

• 24

• -24

• 4

Which of the following is the simplified form of -10 i^2?

• 10

• -10

• 1

• -1

What is the combined result of 6i and 40i?

• 50i

• 34i

• 46i

• 36i

Which expression is equivalent to the product of the binomials?

• -4 + 46i + 10

• -14 - 34i

• -4 + 34i + 10

• -14 + 46i

What is the result of multiplying 20 * 8 using the box method?

• 180

• 160

• 200

• 140

How do you simplify -4 i^2?

• -1

• 4

• -4

• 1

What is the sum of 160 and 4 in the box method?

• 174

• 144

• 154

• 164

How can you tell an equation is false without full expansion?

• By checking the real numbers

• By checking the imaginary numbers

• By checking the coefficients

• By checking the constants

What is the result of -9 * -3i?

• 27i

• -9i

• 9i

• -27i

What numbers could go in the blanks to total -10i?

• 2 and 6

• 4 and 9

• 3 and 8

• 5 and 7