Algebra 2 – Post-test Assessment 3

How many points of intersection does the given system of equations have?

The graph models the height h above the ground, in feet, at time t, in seconds, of a person swinging on a swing. Each point indicated on the graph represents the height of the person above the ground at the end of each one-second interval.

Use the information provided to answer Part A and Part B for question 5.

Part A

 Which is an equivalent form of the given expression?

Use the information provided to answer Part A and Part B for question 6.

The distribution of weights (rounded to the nearest whole number) of all boxes of a certain cereal is approximately normal with mean 20 ounces and standard deviation 2 ounces. A sample of the cereal boxes was selected, and the weights of the selected boxes are summarized in the histogram shown.

Part A

 If w is the weight of a box of cereal, which range of weights includes all of the weights of cereal boxes that are within 1.5 standard deviations of the mean?

Part B

Which of these values is the best estimate of the number of boxes in the sample with weights that are more than 1.5 standard deviations above the mean?

Use the information provided to answer Part A through Part D for question 7.

Part A

Based on the model, what was the average rate of change, in millions of people per year,

of the population of country A from 2000 to 2005? Give your answer to the nearest hundredth.

Part C

Based on the model, in which years will the population of country A be greater than 55 million?

Select all that apply.

Use the information provided to answer Part A and Part B for the question 8.

The graph represents the temperature, in degrees Fahrenheit (°F), of tea for the first 120 minutes after it was poured into a cup.

Part A

 Based on the graph, what was the temperature of the tea when it was first poured into the cup?

Part B

Based on the graph, as the number of minutes increased, what temperature did the tea approach?

Use the information provided to answer Part A and Part B for question 9.

DeShawn is in his fifth year of employment as a patrol officer for the Metro Police. His salary for his first year of employment was $47,000. Each year after the first, his salary increased by 4% of his salary the previous year.

Part A

What is the sum of DeShawn’s salaries for his first five years of service?

Part B

If DeShawn continues his employment at the same rate of increase in yearly salary, for which year will the sum of his salaries first exceed $1,000,000? Give your answer to the nearest integer.

Use the information provided to answer Part A and Part B for question 10.

The two-way table shows the classification of students in a mathematics class by gender and dominant hand. A student who is ambidextrous uses both hands equally well.

Part A

What is the probability that a randomly selected student in the class is female given that the student is right-handed?

Part B

One student will be selected at random from the class. Consider the events:

X the selected student is female

Y the selected student is right-handed

Which statement about events X and Y is true?