Algebraic Skills
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Questions and Answers

  1. Simplify the expression $(-3 + 2i) - (2-i)$.

Answer: $-5 + 3i$

  1. Simplify the expression $(-3 - i)(-4-3i)$.

Answer: $-3 + 19i$

  1. Simplify the expression $\frac{1 + 2i},{2-3i}$.

Answer: $\frac{-4 + 7i},{13}$

  1. Calculate $i^8$.

<p>Answer: $1$</p> Signup and view all the answers

  1. Find the square root of $-160$.

<p>Answer: There are no real solutions.</p> Signup and view all the answers

  1. Write the factored form of $x^2 + 12x + 20$.

<p>Answer: $(x+2)(x+10)$</p> Signup and view all the answers

  1. Write the factored form of $25x^2 - 4$.

<p>Answer: $(5x+2)(5x-2)$</p> Signup and view all the answers

  1. Solve the equation $x^2 + 9x = -14$ by factoring.

<p>Answer: $x = -7, x = -2$</p> Signup and view all the answers

  1. Sketch a parabola with an axis of symmetry $x = -1$ and y-intercept $1$.

<p>(Graphical response)</p> Signup and view all the answers

Simplify the expression $(2-i)(-3 - i)(-4-3i)$.

<p>$(-2 - 5i)(-4 - 3i)$</p> Signup and view all the answers

Calculate $i^8$.

<p>$i^8 = 1$</p> Signup and view all the answers

Solve the equation $x^2 + 9x = -14$ by factoring.

<p>$x = -2, -7$</p> Signup and view all the answers

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