12 Questions
- Simplify the expression $(-3 + 2i) - (2-i)$.
Answer: $-5 + 3i$
- Simplify the expression $(-3 - i)(-4-3i)$.
Answer: $-3 + 19i$
- Simplify the expression $\frac{1 + 2i},{2-3i}$.
Answer: $\frac{-4 + 7i},{13}$
- Calculate $i^8$.
Answer: $1$
- Find the square root of $-160$.
Answer: There are no real solutions.
- Write the factored form of $x^2 + 12x + 20$.
Answer: $(x+2)(x+10)$
- Write the factored form of $25x^2 - 4$.
Answer: $(5x+2)(5x-2)$
- Solve the equation $x^2 + 9x = -14$ by factoring.
Answer: $x = -7, x = -2$
- Sketch a parabola with an axis of symmetry $x = -1$ and y-intercept $1$.
(Graphical response)
Simplify the expression $(2-i)(-3 - i)(-4-3i)$.
$(-2 - 5i)(-4 - 3i)$
Calculate $i^8$.
$i^8 = 1$
Solve the equation $x^2 + 9x = -14$ by factoring.
$x = -2, -7$
This quiz tests your skills in simplifying complex numbers, factoring quadratic equations, and sketching parabolas. Solve equations and expressions involving complex numbers, simplify radicals, and factor quadratic equations. Sharpen your algebraic skills with this quiz!
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