Geometry
Data Analysis
Algebra
Constants
Word Problems
100
In the figure above, line l is parallel to line m. What is the value of x?
What is 35?
100
The dotplot above gives the gas mileage (in miles per gallon) of 15 different cars. If the dot representing the car with the greatest gas mileage is removed from the dotplot, what will happen to the mean, median, and standard deviation of the new data set?
A. Only the mean will decrease.
B. Only the mean and standard deviation will decrease.
C. Only the mean and median will decrease.
D. The mean, median, and standard deviation will decrease.
What is B: Only the mean and standard deviation will decrease?
100
(3sqrtx)^2=36 where x>0.
What is the value of xsqrt(x^2)?
A. 4sqrt2
B. 4
C. 2sqrt2
D. 2
What is C: 2sqrt2
100
What is A?
200
In the figure above, AB=6, BC=8, and CD=5. What is the length of AD?
A. 4sqrt3
B. 5sqrt2
C. 5sqrt3
D. 6sqrt2
What is C: 5sqrt3 ?
200
The table shows test scores on a math test, and the corresponding number of students who earned that score. What is the median test score of the entire class?
What is 89?
200
If (x+6)/3=(x+6)/13, the value of x+6 is between which of the following pairs of values?
A. -7 and -3
B. -2 and 2
C. 2 and 7
D. 8 and 13
What is B: -2 and 2?
200
It took 5 hours for 6 LTP students working together to complete just one of Jonathan's math questions. If 1 more student joins the group to complete a packet of 21 questions of equal difficulty, how many questions will the group have left after 60 hours?
What is 7?
300
In the figure above, the radius of the circle is 8 and and the measure of angle AOB is 120 degrees. What is the length of AB?
A. 8sqrt2
B. 8sqrt3
C. 12sqrt2
D. 12sqrt3
What is B: 8sqrt3?
300
If 125% of x is 80 and x is n % of 400, what is the value of n ?
What is 16?
300
There are two system of equations shown below:
1. This one has no solutions.
y=2/3x+5
-6x+by=7
2. This one has infinitely many solutions.
10x-2y=1
ax-cy=3
What is the value of a+b+c?
What is 45?
300
2(kx-n)=-28/15x-36/19
In the given equation, k and n are constants and n>1. The equation has no solution. What is the value of k?
What is -14/15?
300
What is the mass, in grams, of an object with a volume of 0.01 m^3 and a density of 4.54 grams per cubic centimeters? (1 m = 100 cm)
A. 454
B. 4,540
C. 45,400
D. 454,000
What is C: 45,400?
400
What is the perimeter of an equilateral triangle inscribed in a circle with circumference 24pi?
A. 36sqrt2
B. 36sqrt3
C. 30sqrt3
D. 24sqrt6
What is B: 36sqrt3?
400
Adrian bought a flat screen TV for $350. He had a coupon for $60 off, but was taxed an additional 4%. What is the net percent decrease of the TV after both the discount and the tax is applied? (Round to the nearest tenth of a percent)
What is 13.8%?
400
y<ax+1
y>bx-1
In the xy- plane, if (1,0) is a solution to the system of inequalities above, which of the following must be true?
I. a> -1
II. a+b=0
III. b<1
A. I only
B. I and II only
C. I and III only
D. I, II, and III
What is C: I and III only?
400
If x-2 is a factor of polynomial p(x)=a(x^3-2x)+b(x^2-5), which of the following must be true?
A. a+b=0
B. 2a-b=0
C. 2a+b=0
D. 4a-b=0
What is D: 4a-b=0?
400
David used 1/10 of his monthly salary for groceries and 3/18 of his remaining money for his car payment. He also paid twice as much money for rent as for his car payment. If David has $1,620 left after paying for groceries, car payment, and rent, how much is his monthly salary?
A. $3,240
B. $3,320
C. $3,480
D. $3,600
What is D: $3600?
500
If the perimeter of a square is equal to 5x+1 and the length of the diagonal of the square is (2x-2)sqrt2, what is the length of a side of the square?
A. 2
B. 4
C. 8
D. 10
What is B: 4?
500
Data set A consists of 10 positive integers less than 60. The list shown gives 9 of the integers from data set A.
43, 45, 44, 43, 38, 39, 40, 46, 40
The mean of these 9 integers is 42. If the mean of data set A is an integer that is greater than 42, what is the value of the largest integer from data set A?
A. 50
B. 48
C. 55
D. 52
What is D: 52?
500
(3^x+3^x+3^x)*3^x
Which of the following is equivalent to the expression shown above?
A. 3^(4x)
B. 3^(3x^2)
C. 3^(1+3x)
D. 3^(1+2x)
What is D: 3^(1+2x)?
500
The expression bx^2-13x+22 can be rewritten as (hx-k)(x+j) where b is a constant and h, j, and k are integer constants. Which of the following must be an integer?
A. (k-13)/h
B. 13/b
C. -j/22
D. k/22
What is A: (k-13)/h ?
500
A person is born every 5 seconds and a person dies every 12 seconds. How many seconds does it take for the population to grow by one person?
A. 7 sec
B. 8 4/7 sec
C. 10.5 sec
D. 10 5/7 sec
What is B: 8 4/7?