Quiz about Algebra 2 Final Exam

Question 1

What is the solution to the equation $$x^2 - 8x + 15 = 0$$ ?

Accepted Answer

$$x = 3$$ or $$x = 5$$

Answer

$$x = 1$$ or $$x = 15$$

Answer

$$x = -3$$ or $$x = -5$$

Answer

$$x = 2$$ or $$x = 7$$

Question 2

Simplify: $$(6x^2 - 4x + 9) + (2x^2 + 7x - 3)$$ .

Accepted Answer

$$8x^2 + 3x + 6$$

Answer

$$8x^2 + 11x + 6$$

Answer

$$4x^2 + 3x + 6$$

Answer

$$8x^2 + 3x + 12$$

Question 3

What is the inverse of the function $$f(x) = 2x - 5$$ ?

Accepted Answer

$$f^{-1}(x) = \frac{x+5}{2}$$

Answer

$$f^{-1}(x) = \frac{x-5}{2}$$

Answer

$$f^{-1}(x) = 2x + 5$$

Answer

$$f^{-1}(x) = \frac{x}{2} - 5$$

Question 4

Solve for $$x$$ : $$4^{x-1} = 16$$ .

Accepted Answer

$$x = 3$$

Answer

$$x = 2$$

Answer

$$x = 4$$

Answer

$$x = 1$$

Question 5

What is the sum of the roots of the quadratic equation $$x^2 + 6x - 7 = 0$$ ?

Accepted Answer

$$-6$$

Answer

$$-7$$

Answer

$$6$$

Answer

$$7$$

Question 6

If $$f(x) = x^2$$ and $$g(x) = x + 2$$ , what is $$(f \circ g)(1)$$ ?

Accepted Answer

$$9$$

Answer

$$1$$

Answer

$$4$$

Answer

$$3$$

Question 7

Solve the system: x + 3y = 10 and 2x - y = 4

Accepted Answer

$$x = 4, y = 2$$

Answer

$$x = 2, y = 3$$

Answer

$$x = 3, y = 2$$

Answer

$$x = 2, y = 4$$

Question 8

What is the value of $$\log_5 125$$ ?

Accepted Answer

$$3$$

Answer

$$2$$

Answer

$$4$$

Answer

$$5$$

Question 9

If $$a_n = 2a_{n-1} + 1$$ and $$a_1 = 2$$ , what is $$a_3$$ ?

Accepted Answer

$$9$$

Answer

$$7$$

Answer

$$11$$

Answer

$$13$$

Question 10

What is the domain of the function $$f(x) = \frac{1}{x-2}$$ ?

Accepted Answer

$$x 
eq 2$$

Answer

$$x eq -2$$

Answer

$$x > 2$$

Answer

$$x < 2$$

Question 11

Which of the following is equivalent to $$\sqrt{50}$$ ?

Accepted Answer

$$5\sqrt{2}$$

Answer

$$10\sqrt{5}$$

Answer

$$2\sqrt{5}$$

Answer

$$25\sqrt{2}$$

Question 12

If $$f(x) = x^2 - 6x + 13$$ , what is the minimum value of $$f(x)$$ ?

Accepted Answer

$$4$$

Answer

$$1$$

Answer

$$9$$

Answer

$$13$$

Question 13

What is the sum of the first 5 terms of the arithmetic sequence: $$5, 9, 13, \ldots$$ ?

Accepted Answer

$$65$$

Answer

$$45$$

Answer

$$55$$

Answer

$$75$$

Question 14

Which of the following is the solution to $$|3x - 7| = 8$$ ?

Accepted Answer

$$x = 5$$ or $$x = -\frac{1}{3}$$

Answer

$$x = 3$$ or $$x = -5$$

Answer

$$x = 7$$ or $$x = -1$$

Answer

$$x = 8$$ or $$x = -1$$

Question 15

What is the standard form of the equation of an ellipse centered at $$(0,0)$$ with a major axis of length 14 along the $$y$$ -axis and a minor axis of length 10 along the $$x$$ -axis?

Accepted Answer

$$\frac{x^2}{25} + \frac{y^2}{49} = 1$$

Answer

$$\frac{x^2}{49} + \frac{y^2}{25} = 1$$

Answer

$$\frac{x^2}{14} + \frac{y^2}{10} = 1$$

Answer

$$\frac{x^2}{10} + \frac{y^2}{14} = 1$$

Question 16

Question 16.

Accepted Answer

5p + 4

Answer

5p2 - 16p

Answer

5p - 4

Answer

5p + 4p

Question 17

(x +2)(x + 3)

Accepted Answer

x² + 5x + 6

Answer

x² + x + 6

Answer

x² + 5x + 5

Answer

x² + 6x + 6

Question 18

(5c-2)(3c²-5c+4)

Accepted Answer

15c³-31c²+30c-8

Answer

15c³-31c⁴+30c²-8

Answer

15c³-19c²+10c-8

Answer

15c³-31c²+30c+8

Question 19

The area of a rectangular pool table is: x² + 14x +40.

The length is x + 4. What is the width?

Accepted Answer

x + 10

Answer

x + 8

Answer

x + 14

Answer

x +4

Question 20

Add

$$\frac{7x}{x^2-5x}+\frac{x^2}{x-5}$$

Accepted Answer

$$\frac{x^2+7}{x-5}\ $$

Answer

$$\frac{x^2+7}{x+5}\ $$

Answer

$$\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)\left(x-5\right)}\ $$

Answer

$$\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)}\ $$

Question 21

Multiple the expressions

$$\frac{4p^3}{6p}\cdot\frac{7p^4}{9}$$

Accepted Answer

$$\frac{14p^6}{27}$$

Answer

$$\frac{28p^7}{54p}$$

Answer

$$\frac{11p^{12}}{54p}$$

Answer

$$\frac{14p^{11}}{27}$$

Question 22

Multiply the expressions

$$\frac{\left(n-1\right)\left(n-5\right)}{2\left(n+3\right)}\cdot\frac{2\left(n+3\right)}{n-5}$$

Accepted Answer

$$n-1$$

Answer

$$\frac{2\left(n-1\right)}{n+3}$$

Answer

$$2\left(n-1\right)$$

Answer

$$1$$

Question 23

Divide the Rational Expression

$$\frac{6a^2}{15a+10}\div\frac{5}{15a+10}$$

Accepted Answer

$$\frac{6a^2}{5}$$

Answer

$$\frac{7}{8\left(a-9\right)}$$

Answer

$$\frac{1}{5a}$$

Answer

$$\frac{a-9}{a-5}$$

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