Math 23

Question 1:

A point (6,-3) in the standard (x,y) coordinate plane is shifted up 2 units and left 4 units. What are the coordinates of the new point?

Question 2:

Kate cut a 48 inch long string into two pieces. The ratio of the two pieces is 1:3. What is the length, in inches, of the longer piece?

Question 3:

What values of x are solutions to x² – 24 = 2x?

Question 4:

Lines a, b, c, and d are shown and c is parallel to d. Which of the following is the set of all angles that must be supplementary to ∠z?

Question 5:

What is the center and radius of the circle whose equation is (x-3)² + y² = 10?

Question 6:

What is the amplitude of the sine equation y= 3 sin 4x?

Question 7:

[No Calculator] This table refers to a group of randomly selected High School students from across the United States of America. Students were grouped into two groups, ages 15-16, and ages 17-18. Students were asked if they had a job or not. Which of the following is closest to the percentage of those surveyed who had a job?

Question 8:

At the time of the survey, the total population of individuals between the ages of 15 and 18 was approximately 16 million. If the survey results were taken from individuals across the country, which of the following is the best estimate of total individuals between 17 and 18 in the United States who had a job at the time of the survey?