Algebra
|p| + 61 = 65.
What is a value for p?
-4, 4
What is an x-coordinate of an x-intercept of the graph of y=3(x-14)(x+5)(x+4)?
x = 14, -5, -4
Rectangle P has an area of 72 square inches. If a rectangle with an area 20 square inches is removed from rectangle P, what is the area of the resulting figure?
52
There are 250 trees in a park. Of these trees, 6% are birch trees. How many birch trees are in the park?
15
-11, -9, 26
A data set of three numbers is shown. If a number from this data set is selected at random, what is the probability of selecting a positive number?
1/3
The function f is defined by f(x)=1/2 (x+6). What is the value of f(4)?
5
(h15q7) / (h5q21)
h10 / q14
A circle in the xy-plane has the equation (x-13)2+(y-k)2=64. Identify the center and radius of the circle.
Center: (13, k)
Radius: 8
A school district if forming a committee. Of those invited to join, 15% are parents, 45% are teachers, 25% are school administrators, and the 6 remaining individuals are students. How many more teachers were invited than school administrators?
8
In August, a car dealer completed 15 more than 3 times the # of sales the car dealer completed in September. In August and September, the car dealer completed 363 sales. How many sales did the car dealer complete in September?
87
If 8x=6, what is the value of 72x?
54
f(x)=(x-2)(x+15)
For what value of x does f(x) reach its minimum?
-13/2 or -6.5
In triangle XYZ, angle Y is a right angle, point P lies on XZ, and point Q lies on YZ such that PQ is parallel to XY. If the measure of angle XZY is 63*, what is the measure of angle XPQ?
153
The number of raccoons in a 131-square-mile area is estimated to be 2358. What is the estimated population density, in raccoons per square mile, of this area?
18
The speed of a vehicle is increasing at a rate of 7.3 meters per second square. What is the rate, in miles per minute squared, rounded to the nearest tenth? (1 mile=1609 meters)
16.3
2/3 x + 6y = 1/6x + 3/4
If the system of equations has no solutions, what is the value of a?
a=1
2x2 -8x - 7=0
One solution to the given equation can be written as (8- sqrt(k)) / 4. What is the value of k?
120
In triangle XYZ, angle Z is a right angle and the length of YZ is 24 units. If tanX=12/35, what is the perimeter, in units, of triangle XYZ?
168
The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?
32
An investment account was opened with an initial value of $890. The value of the account doubled every 10 years. Write an equation that represents the value of the account M(t), in dollars, t years after the account was opened.
The linear function g is defined by g(x)=b-15x, where b is a constant. If g(c+7)=c/4, where c is a constant, find b in terms of c.
(61c)/4 + 105
y=-2.5
y=x2+8x+k
In this system of equations, k is a positive integer constant. The system has no real solutions. What is the least possible value of k?
14
Simplify this trig expression:
sin(24*)cos(66*) + cos(24*)sin(66*)
*= degrees
Multiple correct answers/variations:
[sin(24*)^2 OR cos(66*)^2 ]+ [sin(66*)^2
OR cos(24*)^2]
Based on sin(x)=cos(90-x)
The original data set has 27 different numbers, a mean of 33, and median of 33. A new data set is created by adding 7 to each number that is greater than the median and subtracting 7 from each number that is less than the median. Which of the following measures does NOT have the same value in both the original and new data set? (median, mean, sum, standard deviation)
standard deviation
The cost of renting a carpet cleaner is $52 for the first day and $26 for each additional day. Write a function that gives the cost C(d), in dollars, of renting the carpet cleaner for d days.