Geometry
If two angles are supplementary, what is the sum of their measures?
180 degrees
In the equation y = mx + b, what does the letter m represent?
Slope (or rate of change)
True or False: Every relation is a function.
False (A function requires each input to have exactly one output).
What is the specific geometric name for the longest side of a right triangle, which sits directly opposite the right angle?
Hypotenuse
Simplify the expression: (x4) * (x3).
x7
Describe the transformation that slides a figure to a new location without rotating, reflecting, or changing its size.
Translation
What is the slope of the line that passes through the points (0, 2) and (3, 8)?
2
What graphical test can you use on a coordinate plane to determine if a graph represents a function?
The Vertical Line Test
State the algebraic formula for the Pythagorean Theorem.
a2 + b2 = c2
Evaluate the value of 7-2 without using negative exponents.
1/49 (or 1 / 72)
If a triangle is dilated by a scale factor of k = 3, what happens to its perimeter?
It triples (multiplied by 3).
If a graph shows a straight line passing through the origin (0,0), what specific type of linear relationship is it?
Proportional relationship
Does the equation y = x2 + 4 represent a linear or non-linear function?
Non-linear (because the variable is squared, forming a parabola).
If the two legs of a right triangle measure 3 inches and 4 inches, what is the length of the hypotenuse?
5 inches
Express the standard number 45,000 in correct scientific notation.
4.5 x 104
A triangle has interior angle measures of 55 degrees and 65 degrees. What is the measure of the third interior angle?
60 degrees
Write the equation of a line that has a slope of -3 and passes through the point (1, 2).
y = -3x + 5
In a functional relationship between the number of hours spent studying (x) and the score earned on a test (y), which variable is the independent variable?
Hours spent studying (x)
A right triangle has a leg of 6 cm and a hypotenuse of 10 cm. What is the length of the missing leg?
8 cm
Simplify the expression: (y9) / (y3).
y6
A cylinder has a radius of 3 cm and a height of 10 cm. In terms of pi, what is its volume?
90 pi cubic cm
Find the value of x that solves the equation: 4x + 7 = 2x + 19.
x = 6
An input-output table maps the following points: (1, 3), (2, 5), (3, 7), and (4, 9). Write a linear function rule in y = mx + b form that represents this data.
y = 2x + 1
What is the distance between the points (1, 2) and (4, 6) on a coordinate plane?
5 units
Solve for x: (23)x = 212.
x = 4