Algebra
Line k is defined by y= -(17/3)x+5 . Line j is perpendicular to line k in the xy-plane. What is the slope of line j?
3/17
A rectangle has a length that is 15 times its width. The function y = (15w)(w) represents this situation, where y is the area, in square feet, of the rectangle and y>0. Which of the following is the best interpretation of 15w in this context?
The length of the rectangle, in feet
The ratio 140 to m is equivalent to the ratio 4 to 28. What is the value of m?
980
If 2x+3=9, what is the value of 6x-1 ?
17
The function h is defined by h(x)=4x+28 . The graph of y=h(x) in the xy-plane has an x-intercept at (a,0) and a y-intercept at (0,b), where a and b are constants. What is the value of a+b?
21
y = x+1
y = x2+x
If (x,y) is a solution to the system of equations above, which of the following could be the value of x ?
-1
Two nearby trees are perpendicular to the ground, which is flat. One of these trees is 10 feet tall and has a shadow that is 5 feet long. At the same time, the shadow of the other tree is 2 feet long. How tall, in feet, is the other tree?
4
A cargo helicopter delivers only 100-pound packages and 120-pound packages. For each delivery trip, the helicopter must carry at least 10 packages, and the total weight of the packages can be at most 1,100 pounds. What is the maximum number of 120-pound packages that the helicopter can carry per trip?
5
A cargo helicopter delivers only 100-pound packages and 120-pound packages. For each delivery trip, the helicopter must carry at least 10 packages, and the total weight of the packages can be at most 1,100 pounds. What is the maximum number of 120-pound packages that the helicopter can carry per trip?
5
p(x)+57=x2
The given equation relates the value of x and its corresponding value of p(x) for the function p. What is the minimum value of the function P?
-57
The expression .35x represents the result of decreasing a positive quantity x by what percent?
65%
A right square prism has a height of 14 units. The volume of the prism is 2016 cubic units. What is the length, in units, of an edge of the base?
12
An auditorium has seats for 1800 people. Tickets to attend a show at the auditorium currently cost $4. For each $1 increase to the ticket price, 100 fewer tickets will be sold. This situation can be modeled by the equation y=-100x2+1400x+7200, where x represents the increase in ticket price, in dollars, and y represents the revenue, in dollars, from ticket sales. If this equation is graphed in the xy-plane, at what value of x is the maximum of the graph?
7
Square A has side lengths that are 166 times the side lengths of square B. The area of square A is k times the area of square B. What is the value of k?
27556