Algebra
If 46 = 16+2(x8), what is the value of 2(x - 8)?
30
Lines, angles, and triangles- In triangle ABC, the measure of angle A is 54 degrees, the measure of angle B is 90 degrees, and the measure of angle C is (k/2) degrees. What is the value of K?
72
One-variable data: Distributions and measures of center and spread.
The list gives the mass in grams, of 5 alpine marmots
4,010; 4,010; 3,030; 4,050; 3,050
What is the mean mass, in grams, of these 5 alpine marmots?
3630
(5x + 4)(2x - 5) = 0 What is the solution to the given equation?
-4/5
The function f is defined by f(x) = 9/7 * x + 8/7 For what value of z does f(x) = 5?
3
Rectangles ABCD and EFGH are similar. The length of each side of EFGH is 6 times the length of the corresponding side of ABCD. the Area of ABCD is 54 square units. What is the Area of EFGH?
1944
Percentages- In a sample, 80% of the items are faulty. There are 88 faulty items in the sample. How many total items are in the sample?
110
Which expression is equivalent to (d - 6)(8d ^ 2 - 3)
8d ^ 3 - 48d ^ 2 - 3d + 18
y<-4x+4
What point (x, y) is a solution to the given inequality in the xy-plane?
(-4,0)
Area and volume- A cylinder has a diameter of 8 inches and a height of 12 inches. What is the volume, in cubic, inches, of the cylinder?
192pi
Probability and conditional probability - At a conference, there are a total of 275 attendees. Each attendee is assigned to either group A, B, or C. 44% go to group A, 24% to group B, how many attendees are in group C?
88
y = 4x
y = x² - 12
A solution to the given system of equations is (x, y), where x > 0. What is the value of x?
6
A model estimates that whales from the genus Eschrichtius travel 72 to 77 miles in the ocean each day during their migration. Based on this model, what inequality represents the estimated total number of miles, z, a whale from the genus Eschrichtius could travel in 16 days of its migration?
(72)(16) <= x <= (77)(16)
Right triangles and trigonometry- One leg of a right triangle has a length of 43.2 millimeters. The hypotenuse has a length of 196.8 millimeters. What is the length of the other leg of the triangle, in millimeters?
192
An object has a mass of 168 grams and a volume of 24 cubic centimeters. What is the density, in grams per cubic centimeter, of the object?
7
((x + 9)(x - 9))/(x + 9) = 7
What is the solution given equation?
16
A chemist combines water and acetic acid to make a mixture with a volume of 56 millimeters (mL). The volume of acetic acid in the mixture is 10 mL. What is the volume of water, in mL, in the mixture?
46
Circles- What is the value of Tan 92π/3?
-√3
Lines, angles, and triangles- Right triangles LMN and PQR are similar, where L and M correspond to P and Q, respectively. Angle M has a angle measure of 53. What is the measure of Angle Q?
53
What is an x-coordinate of an x-intercept of the graph of y = 3(x-14)(x+5)(x+4) in the xy-plane?
14, -5, or -4