Geometry
If a transformation maps △ABC to △A′B′C′ such that the side lengths are preserved but the orientation is reversed, what specific transformation likely occurred?
Reflection
What is the technical name of any number that is non-terminating and non-repeating.
Irrational
What does the point of intersection of two lines on a graph represent in a system of equations?
The Solution (to the system of equations)
A function is defined by the set of ordered pairs {(1,2),(2,3),(3,2)}. Is this a function? Why?
Yes, because every input (x) has only one output (y)
If two variables have a strong negative correlation, what happens to y as x increases?
y decreases
A 15-foot ladder is leaning against a wall. The bottom of the ladder is 9 feet from the wall. How high up the wall does the ladder reach?
12 ft
Solve for x in the equation x2 = 121. (Note: There are two possible values)
11 and −11
Solve for x:
4(x−2) = 2(2x−4)
Infinite Solutions
In the function f(x)= 21x−10, what is the "initial value" when the input is zero.
-10
You are given the equation 5x+10=2(2.5x+5). Without solving the equation, determine how many solutions it has (one, none, or infinitely many).
Infinite
A cone and a cylinder have the same radius and height. If the volume of the cylinder is 120 in3, what is the volume of the cone?
40 in3
Place these in order from least to greatest: pi2, 9, and the square root of 80
Square Root of 80, 9, pi2
Find the value of x for the system: y = 2x and y = x+5
x = 5
Sketch a graph that is functional, decreasing, and nonlinear.
A curve that moves downward from left to right (like a sliding hill)
Given the line of best fit y = 2x + 5, predict the value of y when x=10
25
Point A(2,3) is rotated 180∘ clockwise about the origin. What are the new coordinates of A′?
(−2,−3)
Estimate the square root of 30 to the nearest tenth without a calculator
5.5
Write an equation in y=mx+b form for a line that has a slope of −3 and passes through the point (1,5)
y=−3x+8
If Function A is f(x)=3x and Function B is represented by a table where x=2, y=8, which function has a greater rate of change?
Function B (Rate of change is 4, whereas Function A is 3).
Why would a "clustering" of data points on a scatter plot be significant to a researcher?
It suggests a subgroup within the data that shares similar characteristics.
A soda can is in the shape of a cylinder with a radius of 3 cm and a height of 12 cm. If the manufacturer wants to create a cone-shaped "party cup" that holds the exact same volume of soda and has the same 3 cm radius, how tall must the cone be?
36 cm
Without using a calculator, determine which is closer to the number 6: is it the square root of 35 or the square root of 37?
The Square Root of 37
Compare the rates of change for y=4x+2 versus a line that passes through (0,0) and (1,5). Which is steeper?
The second line (m=5 is greater than m=4)
Describe the behavior of a graph where the slope is zero for a specific interval.
The graph is a horizontal line; there is no change in the y-value over time/distance.
If a line of best fit for a scatter plot of "Hours Studied" (x) vs "Test Score" (y) is y = 8x + 60, what does the 60 represent in the context of the problem?
The predicted score of a student who studied for 0 hours (the y-intercept).