Functions
Identify whether the relation represented by ordered pairs {(−2,4), (0,1), (3,9)} is a function. Explain why or why not.
Yes. Each x-value maps to exactly one y-value
Find the length of the hypotenuse of a right triangle with legs 6 and 8.
Hypotenuse = 10
Simplify: 3(2x − 4) − 5x.
x − 12
A spinner has 4 equal sections labeled A, B, C, D. What is the probability of spinning either B or D?
1/2
Given f(x) = 2x + 3 and g(x) = x^2, find (f + g), then find f(2)
x^2+2x+3, f(2)=11
A triangle has sides of lengths 7, 24, and 25. Determine whether this triangle is a right triangle.
Yes it is. If you put numbers into Pythagorean Theorem the left side equals the right side.
Solve for x: (x/3) + 4 = 10.
x = 18
The ages of students in a class are: 14, 15, 14, 16, 15. Find the mean age.
14.8
The graph of the function f(x)=x2-3x+11has a vertex. What is the axis of symmetry?
The midpoint of a line is located at (-3,6) and an endpoint is located at (7,-3). What is the ordered pair of the other endpoint?
(-13,15)
Factor completely: x^2 − 5x − 24.
(x − 8)(x + 3)
Explain the difference between correlation and causation in one sentence and give a short classroom example.
Answers will vary
Write the equation of the line in slope-intercept form that is perpendicular to y = −1/2 x + 4 and passes through the point (2, −1).
y=2x-5
The length of a rectangle is 2 more than width and the area is 80, what is the measurement of the width?
Width=8
Solve the system by substitution:
y = 2x + 1
3x − y = 8
x = 9
y =19
A box contains 3 red, 5 blue, and 2 green marbles. If one marble is drawn at random, what is the probability it is blue? If one marble is drawn and not replaced, then a second marble drawn, what is the probability both are blue?
2/9
If f(x)= x^2 + 3x -17 what does f(-3)=?
f(-3)=-17
Two right triangles are given. One has 2 leg measurements of 5,12 and the other right triangle has 2 leg measurements of 8,15. What is the difference between the 2 hypotenuse measurements?
The difference is 4
The quadratic equation x^2 − 6x + 5 = 0 has roots r1 and r2. Find r1 + r2 and r1·r2.
r1 + r2 = 6
r1·r2 = 5
A set of test scores has a mean of 80. If one student who scored 90 is removed, will the new mean necessarily be less than 80, greater than 80, or could it be either? Explain.
Less than 80