Analytic Geometry
This is the slope of the line passing through (2, 5) and (6, 13).
What is 2?
A school sold x chocolate bars and y coffee cups. They sold twice as many chocolate bars as coffee cups.
What is x = 2y?
A triangle has sides measuring 8 cm and 10 cm with an included angle of 30°. This is the area of the triangle.
What is 20 cm2?
A function where points form a U shape.
What is a quadratic function?
The data set is: 4, 6, 8, 10, 12.
The mean deviation of this data set is this value.
What is 2.4?
A line has slope 4. This is the slope of a perpendicular line.
What is -1/4?
Solve:
x + y = 10
x = 4
What is (4, 6)?
Two triangles have all corresponding sides equal. These triangles are called this.
What are congruent triangles?
A function where different segments exist over specified x values.
What is a piecewise function?
A scatter plot shows points tightly grouped rising from left to right. This type of correlation is shown.
What is a strong positive correlation?
This is the midpoint of the segment joining (4, 10) and (12, 18).
What is (8, 14)?
Solve:
2x + y = 11
x = 3
What is (3, 5)?
Two triangles have equal corresponding angles and proportional sides. These triangles are called this.
What are similar triangles?
A population doubles every hour. The initial population is 5 bacteria. How many bacteria would we have after 4 hours?
80 bacteria.
In a class of 200 students, 150 students scored lower than Olivia on a test. Olivia’s percentile rank is this.
What is the 76th percentile?
The line y = -3x + 7 is parallel to this equation. What is the slope?
What is any line with slope -3?
A concert sold 80 tickets total. Adult tickets (x) are $12 and student tickets (y) are $8. This equation represents the total number of tickets.
12x + 8y = 80
A right triangle has legs measuring 9 cm and 12 cm. This is the length of the hypotenuse.
What is 15 cm?
A parking garage charges:
• $5 for up to 2 hours
• $10 for more than 2 hours up to 5 hours
• $15 for more than 5 hours
This type of function best represents the situation.
What is a step function?
This type of regression line is created by dividing data into two groups and using the mean point of each group.
What is the Mayer line?
A line passes through (0, 6) and (3, 18). This is its equation.
What is y = 4x + 6?
Solve:
x + y = 20
2x − y = 10
What is (10, 10)?
In a right triangle, the altitude to the hypotenuse creates segments of lengths 4 cm (x) and 9 cm (y) on the hypotenuse. This is the length of the altitude. (h)
What is 6 cm?
The height of a ball after x seconds is modeled by the quadratic function y=ax2.
After 2 seconds, the ball’s height is 16 metres.
Using this information, determine the height of the ball after 5 seconds.
What is 100 meters?
The points on a Mayer line are (2, 5) and (6, 13). This is the equation of the Mayer line.
What is y = 2x + 1?