Algebra
Geometry
Functions
Statistics & Probability
Number & Quantity
100
In the equation below, q and r are integers. Enter the greatest possible integer in the ☐ to complete the equation.
40 x + 56 = ☐( q x + r)
8
100
A triangle is graphed in the standard (x, y) coordinate plane below. What is the length of the hypotenuse of the triangle?
sqrt164~~12.8
100
What is the next term in the geometric sequence below?
100,20,4,⋯
4/5=0.8
100
The table below records the results of a student survey in which each respondent chose one of three colors to paint their school's new cafeteria.
What is the joint frequency of male respondents who chose orange?
7
100
Given v and w are positive numbers, which expression is equivalent to sqrt(36v^10w^6) ?
A. 6v^5w^3
B. 6v^8w^4
C. 6v^12w^8
D. 18v^5w^3
E. 18v^8w^4
A.
6v^5w^3
200
Which of the following expressions is equivalent to ( 3x^3 + 7x^2 + 1)/x
A. 3^3 + 7^2 + 1/x
B. 3^3+7^2+1
C. 3x^2+7x^2+1
D. 3x^2+7x+1/x
D
200
A triangle is graphed in the standard (x, y) coordinate plane below. What geometric figure would be formed by rotating the triangle around the y-axis?
Cone
200
Given f(x)=5x-6 and g(x)=3x^2 , what is the value of 4f(1)+g(2) ?
8
200
The histogram below shows the number of states in the United States with mean annual temperatures within certain ranges over the last decade.
During the last decade, the mean annual temperature in South Carolina was 62.4°F. What is the minimum number of states that must have had a mean annual temperature greater than that of South Carolina?
3
200
Trevor ran a 100-meter race. He reported his time as 11.4 seconds, accurate to the nearest tenth of a second. The actual time of his run must have been:
A. exactly 11.4 seconds.
B. at least 11.4 seconds.
C. at least 11.35 seconds and less than 11.45 seconds.
D. at least 11.39 seconds and less than 11.41 seconds.
E. at least 11.399 seconds and less than 11.401 seconds.
C. at least 11.35 seconds and less than 11.45 seconds.
300
What are the solutions of ( x − 2 ) ( x + 8 )=0 ?
A. −8 and 2
B. −5 and 3
C. −2 and 8
D. −3 and 3
E. −3 and 5
A. −8 and 2
300
In the standard (x, y) coordinate plane, B(5, 1) will be translated 4 units up and 3 units to the left. What are the coordinates of the image of B?
(2, 5)
300
The table below represents the linear function g(x). When graphed in the standard (x, y) coordinate plane, what is the y-intercept of the function?
20
300
The histogram below shows the number of states in the United States with mean annual temperatures within certain ranges over the last decade.
A temperature in which of the following intervals would best be described as an outlier?
A. 25 to 30
B. 40 to 45
C. 45 to 50
D. 55 to 60
E. 70 to 75
A. 25 to 30
300
For a≠0, which of the following expressions is equivalent to (18a^10)/(-6a^5) ?
A. -3a^5
B. -3a^2
C. 12a^2
D. 24a^2
E. 24a^5
A.
-3a^5
400
When an arrow is shot into the air, the function a=-4.9s^2+48s+5 models the situation. In the function, a represents the height, in meters, of the arrow s seconds after the arrow is shot. Which of the following measurements does the value of 5 in the function represent?
A. The arrow’s maximum height, in meters
B. The arrow’s height above ground, in meters, at the time it is shot
C. The horizontal distance, in meters, the arrow travels before hitting the ground
D. The time, in seconds, the arrow travels before hitting the ground
E. The time, in seconds, the arrow travels before reaching its maximum height
B. The arrow’s height above ground, in meters, at the time it is shot
400
In the figure below, △RST is isosceles, and TU⊥RS.
To prove that base angles of an isosceles triangle are congruent, Madison first proved △TUR≅△TUS. She then concluded ∠R≅∠S. Which of the following reasons supports this conclusion?
A. Vertical angles are congruent.
B. Side-Side-Angle congruence theorem.
C. Isosceles triangles have 3 congruent angles.
D. Corresponding angles of congruent triangles are congruent.
E. The sum of the measures of the 2 angles that form a linear pair is 180°.
D. Corresponding angles of congruent triangles are congruent.
400
The table below shows the population of a city in certain years.
The rate of change in the population from 1960 to 2010 is best described as:
A. A linear increase
B. A linear decrease
C. Exponential growth
D. Exponential decay
E. Neither an increase nor a decrease
Linear Increase
400
The histogram below shows the number of states in the United States with mean annual temperatures within certain ranges over the last decade.
In which of the following intervals does the median of the 50 temperatures lie?
A. 40 to 45
B. 45 to 50
C. 50 to 55
D. 55 to 60
E. 60 to 65
C. 50 to 55
400
The formula below is used to determine acceleration.
"Acceleration"=("Change in velocity"/"Change in time")
When the change in velocity is measured in feet per second and the change in time is measured in seconds, in what units is acceleration measured?
A. Seconds per foot (s/(ft))
B. Feet per second ((ft)/(s))
C. Feet squared per second ((ft^2)/(s))
D. Feet per second squared ((ft)/(s^2))
E. Seconds squared per foot ((s^2)/(ft))
D. Feet per second squared ((ft)/(s^2))
500
What is the value of x in the solution to the system of equations below?
2 x + 6 y = 3
x + y = − 4
A. -27/4
B. -21/8
C. 1/4
D. 11/4
E. 27/8
A
500
Line a is represented by the equation y=4/5x-8 . In the standard (x, y) coordinate plane, line b is perpendicular to line a and passes through the point located at (0, 2).
Which of the following equations represents line b ?
A. y=-5/4x-2
B. -5/4x+2
C. y=4/5x+2
D. y=5/4x-2
E. y=5/4x+2
B.
y=-5/4x+2
500
For the upcoming spring musical, the relationship between the price of a ticket, x dollars, and the profit from ticket sales, p dollars, can be modeled by the function p(x)=-300(x-6)(x-18). Using this function, what is the maximum profit possible from spring musical ticket sales?
$10,800
500
There are 100 applicants for a job. Of those people, 35 are female and 80 have relevant work experience. The number of the applicants who both are female and have relevant work experience must be a number from
A. 15 to 35.
B. 20 to 35.
C. 20 to 65.
D. 28 to 45.
E. 35 to 80.
A. 15 to 35
500
Select each sum that is irrational.
Up to three choices may be selected.
A. pi+1/3
B. 2/7+0.5
C. 6+sqrt2
A and C
A.
pi+1/3
C.
6+sqrt2