Advanced Math
Problem Solving & Data Analysis
Algebra
Geometry & Trigonemtry
100

Which expression is equivalent to (13x^2)-(7x^2)?

What is 6x^2

100

There are 250 trees in a park. Of these trees, 6% are birch trees. How many birch trees are in the park?

What is 15

100

Line k is defined by y=3x+15. Line j is perpendicular to line k in the xy-plane. What is the slope of line j?

What is -1/3?

100

What is the area of a rectangle with a length of 4 cm and a width of 2 cm?

What is 8cm^2?

200

y-57=px

The given equation relates the positive numbers p, x, and y. Which equation correctly expresses y in terms of p and x?

What is y=px+57

200

A wind turbine completes 900 revolutions in 50 minutes. At this rate, how many revolutions per minute does this turbine complete?

What is 18

200

A line passes through the points (4,6) and (15,24) in the xy-plane. What is the slope of the line?

What is 1.636, 18/11?

200

The length of each side of a square is 94 centimeters (cm). Which expression gives the area, in cm^2, of the square?

What is 94*94?

300

[(x+9)(x-9)]/(x+9)=7

What is the solution to the given equation?

What is 16

300

Based on a random sample from a population, a researcher estimated that the mean value of a certain variable for the population is 20.5, with an associated margin of error of 1. Which of the following is the most appropriate conclusion?

What is the actual mean value is of the variable for the population is between 19.5 and 21.5.

300

y-9x=13

5x=2y

What is the solution (x,y) to the given system of equations? 

What is (-2, -5)?
300

A right rectangular prism has a length of 11 meters, a width of 8 meters, and a height of 10 meters. What is the volume, in cubic meters, of the prism?

What is 880?

400

Which expression is equivalent to (7x^3+7x)-(6x^3-3x)?

What is x^3+10x

400

Which expression represents the result of increasing a positive quantity w by 43%?

What is 1.43w

400

In August, a car dealer completed 15 more than 3 times the number 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?

What is 87?

400

What is the value of sin 42π?

What is 0?

500

y+k=x+26

y-k=x^2-5x

In the given system of equations, k is a constant. The system has exactly one distinct real solution. What is the value of k?

What is 17.5 or 35/2?

500

A certain town has an area of 4.36 square miles. What is the area, in square yards, of this town?

What is 13,505,536

500

3x=36y-45

One of the two equations in a system of linear equations is given. The system has no solution. Which equation could be the second equation in this system?

What is 1/3x=4y

500

A circle in the xy-plane has its center at (-4,-6). Line 

k is tangent to this circle at the point (-7,-7). What is the slope of line k?

What is -3?