Probability and Sampling
The theoretical probability, written as a fraction in simplest form, of rolling a number greater than 4 on a standard six-sided number cube.
What is 1/3 ?
The type of rigid transformation that slides every point of a figure the same distance in the same direction without turning or flipping it.
What is a translation?
he scale factor of a dilation centered at the origin that takes the point (2, 5) to the new point (6, 15).
What is 3?
In the linear equation y = mx + b, the letter that represents the slope of the line.
What is m?
The value of $x$ that makes the equation 3x - 7 = 8 true.
What is 5?
The descriptor used to describe an event that has a probability of 0.05.
What is unlikely?
The new coordinates of the point (3, -2) after it is reflected across the x-axis.
What is (3, 2)?
The geometric term used to describe two figures if one can be mapped onto the other using a sequence of translations, rotations, reflections, and dilations.
What is similar? (Accept "similarity")
The y-intercept of the line represented by the equation y = -3x + 7, written as a coordinate point.
What is (0, 7)?
The number of solutions to the equation 4x + 5 = 4x + 10.
What is zero? (Accept "no solution")
The total number of unique outcomes in the sample space if you flip a coin and spin a spinner with 5 equal sections.
What is 10?
The geometric term used to describe two shapes if one can be mapped exactly onto the other using a sequence of translations, rotations, and reflections.
What is congruent? (Accept "congruence")
The new coordinates of the point (-8, 4)after it is dilated centered at the origin using a scale factor of 1/2.
What is (-4, 2)?
The slope of the line that passes through the points (2, 5) and (4, 11).
What is 3?
The geometric meaning of the solution to a system of two linear equations when looking at their graph.
What is the point of intersection? (Accept "where the lines cross")
The estimated total number of students in a school of 600 who prefer pizza, based on a representative sample where 12 out of 40 students chose pizza.
What is 180?
The degree and direction of a rotation that moves a figure from Quadrant 1 to Quadrant 4 by rotating it around the origin.
What is a 90-degree clockwise rotation? (Accept "a 270-degree counterclockwise rotation")
The property of a straight line that can be proven constant by drawing similar "slope triangles" between any two points on that line.
What is the slope? (Accept "the constant of proportionality")
The linear equation for a cell phone plan that charges a flat sign-up fee of $25 plus $10 per gigabyte of data, x, used each month.
What is y = 10x + 25? (Accept any equivalent variables, like C = 10g + 25$)
The solution, written as an (x, y) coordinate point, to the system of equations:
y = 2x
x + y = 9
What is (3, 6)?
The reason a survey of the first 30 students entering the gym for a basketball game is not a representative sample for estimating how many students in the entire school like sports.
What is it is a biased sample? (Accept "It is a convenience sample" or "Students going to a basketball game are more likely to like sports")
The coordinates of point A' if original point A at (-1, 4) is translated 5 units right, 3 units down, and then rotated 180 degrees around the origin.
What is (-4, -1)?
The length of segment A'B', if original segment AB is 12 units long, is dilated by a scale factor of 3/4, and is then translated 5 units to the right.
What is 9 units?
The equation of a line that passes through the point (3, 8) and has a slope of 2.
What is y = 2x + 2?
The value of x in the equation 2(x - 4) = 5x + 13.
What is -7?