Quiz about Algebra 2 Sem 2 Exam REVIEW

Question 1

Solve for x.
$$3^x-2=25$$

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 2

What type of function is the inverse of a logarithm?

Accepted Answer

Exponential

Answer

Logarithmic

Answer

Square Root

Answer

Quadratic

Question 3

Solve $$\log_3n\ =\ 2$$ .

Accepted Answer

9

Answer

6

Answer

5

Answer

8

Question 4

Write the following expression in radical form:

Accepted Answer

c.)

Answer

a.)

Answer

b.)

Answer

d.)

Question 5

The inverse function of an exponential function is known as a...?

Accepted Answer

logarithmic function

Answer

quadratic function

Answer

square root function

Answer

absolute value function

Question 6

A line that the graph continually approaches but never touches is a(n) _____________________

Accepted Answer

asymptote

Answer

parabola

Answer

rational function

Answer

None of these

Question 7

$$\frac{u-v}{8v}+\frac{6u-3v}{8v}$$

Accepted Answer

$$\frac{7u-4v}{8v}$$

Answer

$$\frac{7u-4v}{16v}$$

Answer

$$\frac{7u+2v}{8v}$$

Answer

$$\frac{7u+2v}{16v}$$

Question 8

Simplify $$\frac{x^2+3x-10}{x^2-x-2}$$

Accepted Answer

$$\frac{x+5}{x+1}$$

Answer

$$\frac{x-5}{x-1}$$

Answer

$$\frac{x-2}{x+3}$$

Answer

$$\frac{x+2}{x+3}$$

Question 9

Determine the excluded values.

Accepted Answer

x $$ e$$ 5, -1

Answer

x $$ e$$ -5, 1

Answer

x $$ e$$ 5, 1

Answer

x $$ e$$ -5, -1

Question 10

Simplify the expression.
$$\frac{x^2-6x+8}{3x-12}\div\frac{x^2-4}{x^2+5x+6}$$

Accepted Answer

$$\frac{\left(x+3\right)}{3}$$

Answer

Impossible

Answer

$$\frac{\left(x-2\right)\left(x+3\right)}{3\left(x-4\right)}$$

Answer

$$\frac{\left(x-4\right)\left(x-2\right)\left(x+3\left(x+2\right)\right)}{3\left(x-4\right)\left(x-2\right)\left(x+2\right)}$$

Question 11

Solve for r

Accepted Answer

5

Answer

- 5, 4

Answer

- 5

Answer

5, 4

Question 12

Solve for x: $$\frac{5}{x-2}+\frac{x-6}{x^2-2x}=\frac{1}{x}$$

Accepted Answer

x = $$\frac{4}{5}$$

Answer

x = 5

Answer

x = 1

Answer

x = - 4

Question 13

$$y=\frac{1}{x+4}-3$$

Identify the transformations! SELECT 2 CHOICES.

Accepted Answer

Left 4

Accepted Answer

Down 3

Answer

Right 4

Answer

Up 3

Question 14

Solve the equation.

Accepted Answer

0

Answer

2/3

Answer

3/2

Answer

1

Question 15

Expand using the properties of Logaritms $$\log_{ }\ \frac{x^3}{y^4z}$$

Accepted Answer

$$3\log_{ }x-4\log_{ }y\ -\log_{ }z$$

Answer

$$\log_{ }x+4\log_{ }y\ +\log_{ }z$$

Answer

$$3\log_{ }x+4\log_{ }y\ +\log_{ }z$$

Answer

$$3\log_{ }x-4\log_{ }y\ +\log_{ }z$$

Question 16

How long will it take $3000 to double if it is invested in an account that pays 3% compounded continuously?

Accepted Answer

23.1 years

Answer

22.1 years

Answer

21.1 years

Answer

20.1 years

Question 17

$$\log(2x)-\log(5)=\log(30)$$

Accepted Answer

75

Answer

6/5

Answer

45/2

Answer

-3/8

Question 18

Simplify.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 19

What function best describes this graph?

Accepted Answer

$$f\left(x\right)=\sqrt{x-4}-2$$

Answer

$$f\left(x\right)=-\sqrt{x+4}-2$$

Answer

$$f\left(x\right)=-\sqrt{x-4}-2$$

Answer

$$f\left(x\right)=\sqrt{x+4}+2$$

Question 20

What is the value of the cos(-90)?

Accepted Answer

0

Answer

1

Answer

-1

Answer

undefined

Question 21

What is the radius of a unit circle?

Accepted Answer

1

Answer

2

Answer

1/2

Answer

0

Question 22

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1 + 0.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1+ 0.15)^x

Question 23

Solve and check your solution(s).

$$\sqrt[]{-3x-11}=\ x+5$$

Accepted Answer

$$x=-4$$

Answer

$$x\ =\ -9,\ -4\ $$

Answer

$$x\ =\ 6$$

Answer

No solution

Algebra 2 Sem 2 Exam REVIEW

33 questions

What type of function is the inverse of a logarithm?

Write the following expression in radical form:

The inverse function of an exponential function is known as a...?

A line that the graph continually approaches but never touches is a(n) _____________________

Determine the excluded values.

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