Quiz about Algebra 2 Final Review

Question 1

Simplify the expression: $$\sqrt[]{\frac{200}{49}}$$

Accepted Answer

$$\frac{10\sqrt[]{2}}{7}$$

Answer

$$\frac{20}{7}$$

Answer

$$\frac{2}{7}$$

Answer

$$\frac{2\sqrt[]{10}}{7}$$

Question 2

Simplify $$\frac{\sqrt[]{7}}{\sqrt[]{3}}$$ by rationalizing the denominator.

Accepted Answer

$$\frac{\sqrt[]{21}}{3}$$

Answer

$$\frac{7}{\sqrt[]{21}}$$

Answer

$$\frac{21}{3}$$

Answer

7

Question 3

Subtract $$15\sqrt[]{5}-17\sqrt[]{5}$$

Accepted Answer

$$-2\sqrt[]{5}$$

Answer

$$32\sqrt[]{10}$$

Answer

$$32\sqrt[]{5}$$

Answer

-2

Question 4

Solve: 5(3 + 2x) = 5

Accepted Answer

-1

Answer

1

Answer

5

Answer

-5

Question 5

Solve: 4x + 32 = 14 - 8x

Accepted Answer

x = -3/2

Answer

x = 3/2

Answer

x = -2/3

Answer

x = 2/3

Question 6

Find the slope of the line that passes through the points: (2, 7) and (2, -6)

Accepted Answer

undefined

Answer

1

Answer

0

Answer

-1

Question 7

In slope-intercept form, write the equation of the line that is parallel to y = -4x + 6 and goes through the point (2, -1).

Accepted Answer

y = -4x + 7

Answer

y = 1/4x + 6

Answer

y = -4x + 3

Answer

y = 1/4x - 1

Question 8

Add

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 9

Find the product if possible:

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

Not possible

Question 10

Use elimination to solve the system of equations:

Accepted Answer

(-3, 2, -1)

Answer

(3, -2, 4)

Answer

(2, -3, 1)

Answer

Infinitely many solutions

Question 11

Find the zeros of $$f\left(x\right)=5x^2-10x-40$$ by using the Quadratic Formula.

Accepted Answer

4 and -2

Answer

$$\frac{-5\pm\sqrt[]{103}}{12}$$

Answer

$$\frac{-5\pm\sqrt[]{337}}{12}$$

Answer

$$1\pm i\sqrt[]{7}$$

Question 12

Add. Write the result in the form a + bi. (5 - 6i) + (9 + 9i)

Accepted Answer

14 + 3i

Answer

14 - 3i

Answer

-14 - 3i

Answer

-4 + 15i

Question 13

Multiply (9 + 8i)(5 - 5i)

Accepted Answer

85 - 5i

Answer

5 + 85i

Answer

85 + 5i

Answer

$$-40i^2-5i+45$$

Question 14

Add. Write your answer in standard form. $$\left(-3+3n^5+6n^3\right)+\left(7n^5+5n^3-3\right)$$

Accepted Answer

$$10n^5+11n^3-6$$

Answer

$$15n^8$$

Answer

$$10+11n^5-6n^3$$

Answer

$$4n^5+8n^3+3$$

Question 15

Find the product: $$\left(4m+9\right)\left(-4m^2+m+3\right)$$

Accepted Answer

$$-16m^3-32m^2+21m+27$$

Answer

$$-16m^3+21m+27$$

Answer

$$0m^2+21m+27$$

Answer

$$-16m^3-40m^2+21m+27$$

Question 16

Simplify $$\frac{10-x^2-3x}{x^2+2x-8}$$ . Identify any x-values for which the expression is undefined.

Accepted Answer

$$\frac{-x-5}{x+4}$$ The expression is undefined at x = 2 and x = -4

Answer

$$\frac{-x-5}{x+4}$$ The expression is undefined at x = -4

Answer

$$\frac{x+5}{x+4}$$ The expression is undefined at x = 2 and x = -4

Answer

$$\frac{x+5}{x+4}$$ The expression is undefined at x = -4

Question 17

Factor $$x^3+4x^2+4x+16$$

Accepted Answer

$$\left(x+4\right)\left(x^2+4\right)$$

Answer

(x + 4)(x + 2)

Answer

$$\left(x-4\right)\left(x^2+4\right)$$

Answer

(x - 4)(x - 2)

Question 18

Solve: $$\frac{x^2+9x+18}{x+6}=10$$

Accepted Answer

7

Answer

-7

Answer

6

Answer

3

Question 19

Solve the equation $$\frac{-4}{x-5}=\frac{-1}{x+1}$$

Accepted Answer

-3

Answer

$$\frac{-9}{4}$$

Answer

$$\frac{-4}{3}$$

Answer

$$\frac{-5}{3}$$

Question 20

Solve the equation: $$\sqrt[]{6x+4}=4$$

Accepted Answer

2

Answer

4

Answer

3

Answer

no solution

Question 21

Mira bought $300 of Freerange Wireless Stock in January of 1998. The value of the stock is expected to increase by 7.5% per year. Use a graph to predict the year the value of Mira's stock will reach $700.

Accepted Answer

2009

Answer

1999

Answer

2004

Answer

2014

Question 22

Use inverse operations to write the inverse of f(x) = 7x + 8

Accepted Answer

$$f^{-1}\left(x\right)=\frac{x-8}{7}$$

Answer

$$f^{-1}\left(x\right)=\frac{7x-8}{7}$$

Answer

$$f^{-1}\left(x\right)=\frac{y-8}{7}$$

Answer

$$f^{-1}\left(x\right)=\frac{x+8}{7}$$

Question 23

Write the logarithmic equation $$\log_232=5$$ in exponential form.

Accepted Answer

$$2^5=32$$

Answer

$$2^{32}=5$$

Answer

$$5^{-2}=32$$

Answer

$$5^2=32$$

Question 24

Evaluate $$\log_39=x$$ using mental math.

Accepted Answer

2

Answer

3

Answer

9

Answer

27

Question 25

Express $$\log_327-\log_39$$ as a single logarithm. Simplify, if possible.

Accepted Answer

1

Answer

$$\log_318$$

Answer

3

Answer

$$\log_33$$

Question 26

Distance varies directly as time because as time increases, the distance traveled increases proportionally. The speed of sound in air is about 210 feet per second. How long would it take for sound to travel 14,368 feet?

Accepted Answer

68 sec

Answer

45 sec

Answer

65 sec

Answer

70 sec

Question 27

Evaluate the piecewise function for f(8)

Accepted Answer

11

Answer

0

Answer

5

Answer

16

Question 28

Given $$f\left(x\right)=4x^2+3x-5$$ and $$g\left(x\right)=-2x+12$$ find (f+g)(x).

Accepted Answer

$$\left(f+g\right)\left(x\right)=4x^2+x+7$$

Answer

$$\left(f+g\right)\left(x\right)=2x^2+2x+7$$

Answer

$$\left(f+g\right)\left(x\right)=4x^2-x-7$$

Answer

$$\left(f+g\right)\left(x\right)=4x^2-x+7$$

Question 29

Given $$f\left(x\right)=x^3$$ and $$g\left(x\right)=4x+3$$ find g(f(2)).

Accepted Answer

35

Answer

1331

Answer

7

Answer

343

Question 30

Given $$f\left(x\right)=3x+4$$ and $$g\left(x\right)=7x-1$$ , write the composite function f(g(x)) and state the domain.

Accepted Answer

21x+1, domain is all real numbers

Answer

21x+27, domain is all real numbers

Answer

21x-4, domain is all real numbers

Answer

10x+3, domain is all real numbers

Question 31

There are 9 singers competing at a talent show. In how many different ways can the singers appear?

Accepted Answer

362,880

Answer

81

Answer

504

Answer

5040

Question 32

Find the outlier in the set of data: 4, 11.6, 50, 23, 20.1, 19, 29, 12.7, 8, 23, 57.5

Accepted Answer

57.5

Answer

50, 57.5

Answer

4, 50, 57.5

Question 33

Use Pascal's Triangle to expand: $$\left(x+2\right)^3$$

Accepted Answer

$$x^3+6x^2+12x+8$$

Answer

$$x^3+6x^2−12x+8$$

Answer

$$x^3−6x^2+12x−8$$

Answer

$$x^3+4x^2+12x+6$$

Question 34

Graph the piecewise function:

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 35

Consider the function $$f(x)=x^2+7x+10$$ Determine whether the graph opens up or down. Find the axis of symmetry, the vertex, and the y-intercept.

Accepted Answer

The parabola opens up. The axis of symmetry is x =-3.5. The vertex is (-3.5, -2.25).The y-intercept is 10.

Answer

The parabola opens down. The axis of symmetry is x =-3.5.

The vertex is (-3.5, -2.25). The y-intercept is 10.

Answer

The parabola opens up. The axis of symmetry is x=-3.5. The vertex is (-3, -2). The y-intercept is 7.

Answer

The parabola opens down. The axis of symmetry is x =-3.5. The vertex is (-3, -2). The y-intercept is 7.

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