Practice II - Algebra

Select the correct answer.
What is the solution to the following equation? $\sqrt{-8\ -\ 2a}\ =\ 0$  

• 0

• 8

• -4

• 4

Select the correct answer.
What is the solution to the following equation? $\sqrt{3k\ -\ 11}\ =\ \sqrt{5-k}$  

• 16

• -4

• 4

• 2

Type your answer in the box.
What is the solution to the following equation? $\sqrt{2v\ -\ 7}\ =\ v\ -3$  

Type in the correct answer. Factor the following equation:

x³ - 5x² - x + 5

Select the correct answer.
Which expression in factored form is equivalent to this expression? $4\left(x^2\ -\ 2x\right)\ -\ 2\left(x^2\ -\ 3\right)$  

• (2x-3)(x+1)

• 2(x-1)(x-3)

• (2x+3)(x+1)

• 2(x+1)(x+3)

Type the correct answer in.

Simplify the following expression into the form a+bi, where a and b are rational numbers.

(4 - i)(-3 + 7i) - 7i(8 + 2i)

Type the correct answer.
Simplify the following expression $-2\sqrt{45}\ -\ 3\sqrt{20}\ -\ 2\sqrt{6}$  

Note: use exponent for radical sign in answer (i.e. 1/2 for square root)

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What are the zeros of the expression $f\left(x\right)\ =x\left(5x\ -\ 2\right)\left(x^2\ +\ 1\right)$  

• 0, 2, 1

• 2, 1

• 2/5, 1

• 0, 2/5, 1

Select the correct answer.
What are the zeros of the following expression. $f\left(x\right)\ =\ \left(2x-1\right)\left(x-5\right)$  

• 1, 5

• 1/2, 5

• -1, -5

• -1/2, -5

Select the correct answer.
What is the factored form for the following expression? $a^3\ +\ 125$  

• (a + 5)(a^2 + 5a + 25)

• (a + 5)(a^2 - 5a +25)

• (a + 5)( a^2 - 5a - 5)

• (a + 5)(a^2 + 5a + 5)