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Algebra 2B - Final Exam

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Last updated about 5 years ago
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Question 25
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Add the rational expressions and identify the restrictions for all x values.

Write the rational expression in lowest term

Solve the equation.

In the equation shown, x represents a real number.

What is the solution to this equation?
What are the best first two steps in solving the equation below for x?

Add 3 to both sides of the equation, and then square both sides.
Square both sides of the equation, and then subtract 3 from both sides.
Subtract 3 from both sides of the equation, and then square both sides.
Square both sides of the equation, and then add 3 to both sides.
Rewrite the expression below in exponential form.

Simplify the expression completely.

The expression cannot be simplified
Solve the equation. Check to determine if extraneous solution(s) exist.

The solution to the equation is -8, and 3 is an extraneous solution
The equation has two solutions; -8 and 3
The solution to the equation is 3, and -8 is an extraneous solution
The equation has no real solutions (both are extraneous)
Multiply, then simplify.

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?
The population is decreasing by 4% per year.
The population is increasing by 4% per year.
The population is increasing by 96% per year.
The population is decreasing by 96% per year.
Rewrite as a sum or difference of terms.

Solve for x

You invest $2,500 at 5.2% compounded quarterly for 7 years. What is your total return?
$7,658.71
$3,589.26
$3,597.69
$3,075.67
Given the arithmetic sequence 51, 45, 39, 33,. . . find the sum of the 5 – 20 terms.
Evaluate

1520
1425
1420
1525
What is the sum of the numbers 1 – 234?
27495
27377.5
27261
234!
A test has 30 multiple choice questions with 4 choices each. Which expressions represents the total number of
ways to answer the questions?
How many ways can a president, vice president, and treasurer be elected from a group of 40 students?
9,880
64,000
120
59,280
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?
303,600
100
390,625
12,650
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?
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.


85%
70%
60%
50%
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?
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.
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?
2.2%
5%
15.8%
34.1%
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).