Heart of Algebra
Passport to Advanced Mathematics
Problem Solving & Data Analysis
Geo and Trig
No Calculator Allowed!
100
What is (2,3)
100
If 3x − y = 12, what is the x intercept as an ordered pair?
What is (4, 0)
100
If y = kx, where k is a constant, and y = 24 when
x = 6, what is the value of y when x = 5 ?
What is 20?
100
what is the sum (7 + 3i) + (−8 + 9i) ?
What is -1+12i?
100
If (x-1)/3=k and k = 3, what is the value of x ?
What is 10?
200
A line in the xy-plane passes through the origin and has a slope of 1/7
Which of the following points lies on the line?
A) (0, 7)
B) (1, 7)
C) (7, 7)
D) (14, 2)
What is D?
200
What are the solutions to abs(x-2)=9 ?
11 and -7
200
Last year, 200 students enrolled in an interior design program. This year, the number of students enrolled is 147% of last year's number. How many students are enrolled in the interior design program this year?
What is 294
200
In a right triangle, one angle measures x°, where sin x° = 4/5. What is cos(90° − x°) ?
What is 4/5?
200
On Saturday afternoon, Armand sent m text messages each hour for 5 hours, and Tyrone sent p text messages each hour for 4 hours. What represents the total number of messages sent by Armand and Tyrone on Saturday afternoon?
What is 5m+4p?
300
The posted weight limit for a covered wooden bridge is 6000 pounds. A delivery truck that is carrying x boxes each weighing 14 pounds will pass over the bridge. If the combined weight of the empty delivery truck and its driver is 4500 pounds, what is the maximum possible value for x that will keep the combined weight of the truck, driver, and boxes below the bridge’s posted weight limit?
What is 107?
300
The area of a rectangular painting can be represented by the expressions w(w+29) , where w is the width of the painting. What is the length of the paining?
What is w+29
300
Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. Based on Katarina’s observation, if the Type A trees produced 144 pears, how many pears did the Type B trees produce?
What is 120?
300
In triangle XYZ, the measure of angle X is 24 degrees and the measure of angle Y is 98 degrees. What is the measure of angle Z?
What is 58 degrees
300
Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation P = 108 − 23d, where P is the number of phones left and d is the number of days she has worked that week. What is the meaning of the value 108 in this equation?
What is Kathy will start each week with 108 phones to fix?
400
Wyatt can husk at least 12 dozen ears of corn per hour and at most 18 dozen ears of corn per hour. Based on this information, what is a possible amount of time, in hours, that it could take Wyatt to husk 72 dozen ears of corn?
What is any number between 4-6 inclusive?
400
What is
(x^-6y^3z^5)(x^4z^5+y^8z^-7)
What is
x^-2y^3z^10+ x^-6y^11z^-2
400
A local television station sells time slots for programs in 30-minute intervals. If the station operates 24 hours per day, every day of the week, what is the total number of 30-minute time slots the station can sell for Tuesday and Wednesday?
What is 96?
400
A dairy farmer uses a storage silo that is in the shape of the right circular cylinder with height 8. If the volume of the silo is 72π cubic yards, what is the diameter of the base of the cylinder, in yards?
What is 6?
400
h=3a+28.6
A pediatrician uses the model above to estimate the height h of a boy, in inches, in terms of the boy’s age a, in years, between the ages of 2 and 5. Based on the model, what is the estimated increase, in inches, of a boy’s height each year?
What is 3?
500
f(x)=1/4x-9 and g(x)=3/4x+21
If the function h is defined as h(x)=f(x)+g(x) , what is the x-coordinate of the x-intercept of the graph of y=h(x) in the xy-plane?
What is
-12
500
f(x)=(x-14)(x+19)
The function f is defined by the given equation. For what value of x does f(x) reach its minimum?
What is
-5/2
500
37% of the items in a box are green. Of those, 37% are also rectangular. Of the green rectangular items, 42% are metal. What is the percent of items in the box that are NOT rectangular green metal items to the nearest whole number?
What is 94%
500
What is
sqrt(21^2-6^2)
500
g(x) = ax^2 + 24
For the function g defined above, a is a constant and g(4) = 8. What is the value of g(−4) ?
What is 8?