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Algebra 2B - Final Exam

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Last updated over 4 years ago
25 questions
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Question 1
1.

Add the rational expressions and identify the restrictions for all x values.

Question 2
2.

Write the rational expression in lowest term

Question 3
3.

Solve the equation.

Question 4
4.

In the equation shown, x represents a real number.

What is the solution to this equation?

Question 5
5.

What are the best first two steps in solving the equation below for x?

Question 6
6.

Rewrite the expression below in exponential form.

Question 7
7.

Simplify the expression completely.

Question 8
8.

Solve the equation. Check to determine if extraneous solution(s) exist.

Question 9
9.

Multiply, then simplify.

Question 10
10.

The population of bears in a national forest is changing according to the function N(t)=850(0.96)^{t}, where t is the time in years and N(t) is the number of bears. Which statement explains how the bear population is changing?

Question 11
11.

Rewrite as a sum or difference of terms.

Question 12
12.

Solve for x

Question 13
13.

You invest $2,500 at 5.2% compounded quarterly for 7 years. What is your total return?

Question 14
14.

Given the arithmetic sequence 51, 45, 39, 33,. . . find the sum of the 5 – 20 terms.

Question 15
15.

Evaluate

Question 16
16.

What is the sum of the numbers 1 – 234?

Question 17
17.

A test has 30 multiple choice questions with 4 choices each. Which expressions represents the total number of
ways to answer the questions?

Question 18
18.

How many ways can a president, vice president, and treasurer be elected from a group of 40 students?

Question 19
19.

Josh must submit 4 paintings as part of his application to art school. If he has 25 to choose from, how many ways can he pick 4?

Question 20
20.

There are 12 red and 14 blue candies in a jar. If two candies are taken from the jar one at a time without
replacement, which of these represents the probability that both of the candies are red?

Question 21
21.

Given the standard normal distribution shown below, which of the following is a REASONABLE ESTIMATE of the area of the shaded region? Each mark on the x-axis represents one standard deviation.


Question 22
22.

A seven sided number cube with sides numbered 1, 2, 3, 4, 5, 6, and 7 is rolled. What is the probability that an odd number or a seven is rolled?

Question 23
23.

The spinner below is spun. Find the probability that it lands on an odd number, given that it lands on a white space.


Write your answer as a fraction in simplest form.

Question 24
24.

The wind speeds throughout the month of April were normally distributed with a mean of 17 mph and a standard deviation of 4 mph. What percent of the days had wind speeds between 5 and 13 mph?

Question 25
25.

The table below shows the number of students at Parkland High School that made honor roll last quarter. If a
student is chosen at random, find P(honor roll | 11th grader).