Question 1 of 54
| Algebra
· Level 1
On the first day of a semester, a film club has 90 members. Each day after the first day of the semester, 10 new members join the film club. If no members leave the film club, how many total members will the film club have 4 days after the first day of the semester?
A
400
✕
B
130
✕
C
94
✕
D
90
✕
Question 2 of 54
| Advanced Math
· Level 1
The graph of a system of a linear equation and a nonlinear equation is shown. What is the solution \((x,y)\) to this system?
A
(0, 0)
✕
B
(0, 4)
✕
C
(4, 5)
✕
D
(5, 0)
✕
Question 3 of 54
| Algebra
· Level 1
The graph of the linear function \(f\) is shown, where \(y=f(x)\). What is the \(y\)-intercept of the graph of \(f\)?
A
(0, 0)
✕
B
(0, -16/11)
✕
C
(0, -8)
✕
D
(0, 8)
✕
Question 4 of 54
| Algebra
· Level 1
What is the solution \((r,s)\) to the given system of equations? \(s + 7r = 27\) r = 3
A
(6,3)
✕
B
(3,6)
✕
C
(3,27)
✕
D
(27,3)
✕
Question 5 of 54
| Advanced Math
· Level 2
The table shows selected values from function \(f\).
Which of the following is the best description of function \(f\)?
| x | f(x) |
|---|---|
| -1 | 16 |
| 0 | 17 |
| 1 | 18 |
| 2 | 19 |
Which of the following is the best description of function \(f\)?
A
Decreasing linear
✕
B
Increasing linear
✕
C
Decreasing exponential
✕
D
Increasing exponential
✕
Question 6 of 54
| Algebra
· Level 2
Student-produced response directions
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
- Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
| Answer | Acceptable entry |
|---|---|
| 3.5 | 3.5 · 3.50 · 7/2 |
| 2/3 | 2/3 · .6666 · .6667 · 0.666 · 0.667 |
| -1/3 | -1/3 · -.3333 · -0.333 |
The graph of a system of linear equations is shown. The solution to the system is \((x,y)\). What is the value of \(x\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 7 of 54
| Statistics
· Level 2
Student-produced response directions
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
- Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
| Answer | Acceptable entry |
|---|---|
| 3.5 | 3.5 · 3.50 · 7/2 |
| 2/3 | 2/3 · .6666 · .6667 · 0.666 · 0.667 |
| -1/3 | -1/3 · -.3333 · -0.333 |
What is the range of the 7 scores shown? \(23, 27, 27, 32, 35, 36, 52\)
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 8 of 54
| Geometry
· Level 2
In the figure, line \(m\) is parallel to line \(n\), and line \(k\) intersects both lines. Which of the following statements is true?
A
The value of \(x\) is less than 145.
✕
B
The value of \(x\) is greater than 145.
✕
C
The value of \(x\) is equal to 145.
✕
D
The value of \(x\) cannot be determined.
✕
Question 9 of 54
| Algebra
· Level 2
The equation \(x+y=1,440\) represents the number of minutes of daylight (between sunrise and sunset), of minutes of daylight (\(x\)), and the number of minutes of non-daylight (\(y\)), on a particular day in Oak Park, Illinois. If this day has 670 minutes of daylight, how many minutes of non-daylight does it have?
A
670
✕
B
770
✕
C
1,373
✕
D
1,440
✕
Question 10 of 54
| Statistics
· Level 3
Scott selected 20 employees at random from all 400 employees at a company. He found that 16 of the employees in this sample are enrolled in exactly three professional development courses this year. Based on Scott's findings, which of the following is the best estimate of the number of employees at the company who are enrolled in exactly three professional development courses this year?
A
4
✕
B
320
✕
C
380
✕
D
384
✕
Question 11 of 54
| Algebra
· Level 3
If \(4x-28=-24\), what is the value of \(x-7\)?
A
-24
✕
B
-22
✕
C
-6
✕
D
-1
✕
Question 12 of 54
| Algebra
· Level 3
For a snowstorm in a certain town, the minimum rate of snowfall recorded was 0.6 inches per hour, and the maximum rate of snowfall recorded was 1.8 inches per hour. Which inequality is true for all values of \(s\), where \(s\) represents a rate of snowfall, in inches per hour, recorded for this snowstorm?
A
\(s \geq 2.4\)
✕
B
\(s \geq 1.8\)
✕
C
\(0 \leq s \leq 0.6\)
✕
D
\(0.6 \leq s \leq 1.8\)
✕
Question 13 of 54
| Algebra
· Level 3
Student-produced response directions
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
- Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
| Answer | Acceptable entry |
|---|---|
| 3.5 | 3.5 · 3.50 · 7/2 |
| 2/3 | 2/3 · .6666 · .6667 · 0.666 · 0.667 |
| -1/3 | -1/3 · -.3333 · -0.333 |
\(y = 4x\), \(y = x^2 - 12\)
A solution to the given system of equations is \((x, y)\), where \(x > 0\). What is the value of \(x\)?
A solution to the given system of equations is \((x, y)\), where \(x > 0\). What is the value of \(x\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 14 of 54
| Algebra
· Level 3
Student-produced response directions
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
- Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
| Answer | Acceptable entry |
|---|---|
| 3.5 | 3.5 · 3.50 · 7/2 |
| 2/3 | 2/3 · .6666 · .6667 · 0.666 · 0.667 |
| -1/3 | -1/3 · -.3333 · -0.333 |
A store sells two different-sized containers of blueberries. The store's sales of these blueberries totaled \$896.86 last month. The equation \(4.51x + 6.07y = 896.86\) represents this situation, where \(x\) is the number of smaller containers sold and \(y\) is the number of larger containers sold. According to the equation, what is the price, in dollars, of each smaller container?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 15 of 54
| Geometry
· Level 3
A right circular cylinder has a base diameter of 22 centimeters and a height of 6 centimeters. What is the volume, in cubic centimeters, of the cylinder?
A
\(132\pi\)
✕
B
\(264\pi\)
✕
C
\(726\pi\)
✕
D
\(2904\pi\)
✕
Question 16 of 54
| Algebra
· Level 3
The graph of the rational function \(f\) is shown, where \(y = f(x)\) and \(x \ge 0\). Which of the following is the graph of \(y = f(x) + 5\), where \(x \ge 0\)?
A
A)
✕
B
B)
✕
C
C)
✕
D
D)
✕
Question 17 of 54
| Ratios, Rates and Percentages
· Level 3
At a particular track meet, the ratio of coaches to athletes is 1 to 26. If there are \(x\) coaches at the track meet, which of the following expressions represents the number of athletes at the track meet?
A
\(\dfrac{x}{26}\)
✕
B
\(26 x\)
✕
C
\(x + 26\)
✕
D
\(\dfrac{26}{x}\)
✕
Question 18 of 54
| Algebra
· Level 3
Kaylani used fabric measuring 5 yards in length to make each suit for a men's choir. The relationship between the number of suits that Kaylani made, \(x\), and the total length of fabric that she purchased \(y\), in yards, is represented by the equation \(y-5x = 6\). What is the best interpretation of 6 in this context?
A
Kaylani made 6 suits.
✕
B
Kaylani purchased a total of 6 yards of fabric.
✕
C
Kaylani used a total of 6 yards of fabric to make the suits.
✕
D
Kaylani purchased 6 yards more fabric than she used to make the suits.
✕
Question 19 of 54
| Trigonometry
· Level 4
What is the value of \(\tan \dfrac{92\pi}{3}\)?
A
\(-\sqrt{3}\)
✕
B
\(-\dfrac{\sqrt{3}}{3}\)
✕
C
\(\dfrac{\sqrt{3}}{3}\)
✕
D
\(\sqrt{3}\)
✕
Question 20 of 54
| Trigonometry
· Level 4
Student-produced response directions
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
- Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
| Answer | Acceptable entry |
|---|---|
| 3.5 | 3.5 · 3.50 · 7/2 |
| 2/3 | 2/3 · .6666 · .6667 · 0.666 · 0.667 |
| -1/3 | -1/3 · -.3333 · -0.333 |
In the triangle shown, what is the value of \(\cos x^{\circ}\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 21 of 54
| Algebra
· Level 4
Student-produced response directions
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
- Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
| Answer | Acceptable entry |
|---|---|
| 3.5 | 3.5 · 3.50 · 7/2 |
| 2/3 | 2/3 · .6666 · .6667 · 0.666 · 0.667 |
| -1/3 | -1/3 · -.3333 · -0.333 |
The function \(g\) is defined by \(g(x) = (x + 14)(t - x)\), where \(t\) is a constant. In the \(xy\)-plane, the graph of \(y = g(x)\) passes through the point \((24, 0)\). What is the value of \(g(0)\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 22 of 54
| Geometry
· Level 4
\((x + 4)^2 + (y - 19)^2 = 121\) The graph of the given equation is a circle in the \(xy\)-plane. The point \((a, b)\) lies on the circle. Which of the following is a possible value for \(a\)?
A
-16
✕
B
-14
✕
C
11
✕
D
19
✕
Question 23 of 54
| Geometry
· Level 4
A right rectangular prism has a height of 9 inches. The length of the prism's base is \(x\) inches, which is 7 inches more than the width of the prism's base. Which function \(V\) gives the volume of the prism, in cubic inches, in terms of the length of the prism's base?
A
\(V(x) = x(x + 9)(x + 7)\)
✕
B
\(V(x) = x(x + 9)(x - 7)\)
✕
C
\(V(x) = 9x(x + 7)\)
✕
D
\(V(x) = 9x(x - 7)\)
✕
Question 24 of 54
| Advanced Math
· Level 5
Which of the following functions has(have) a minimum value at \(-3\)?
I. \(f(x) = -6(3)^x - 3\)
II. \(g(x) = -3(6)^x\)
I. \(f(x) = -6(3)^x - 3\)
II. \(g(x) = -3(6)^x\)
A
I only
✕
B
II only
✕
C
I and II
✕
D
Neither I nor II
✕
Question 25 of 54
| Algebra
· Level 5
The result of increasing the quantity \(x\) by \(400\%\) is \(60\). What is the value of \(x\)?
A
12
✕
B
15
✕
C
240
✕
D
340
✕
Question 26 of 54
| Algebra
· Level 5
The function \(f\) is defined by \(f(x) = ax^2 + bx + c\), where \(a\), \(b\), and \(c\) are constants. The graph of \(y = f(x)\) in the \(xy\)-plane passes through the points \((7,0)\) and \((-3,0)\). If \(a\) is an integer greater than \(1\), which of the following could be the value of \(a + b\)?
A
-6
✕
B
-3
✕
C
4
✕
D
5
✕
Question 27 of 54
| Algebra
· Level 5
Student-produced response directions
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
- Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
| Answer | Acceptable entry |
|---|---|
| 3.5 | 3.5 · 3.50 · 7/2 |
| 2/3 | 2/3 · .6666 · .6667 · 0.666 · 0.667 |
| -1/3 | -1/3 · -.3333 · -0.333 |
The function \(g\) is defined by \(g(x) = x(x - 2)(x + 6)^2\). The value of \(g(7 - w)\) is \(0\), where \(w\) is a constant. What is the sum of all possible values of \(w\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 28 of 54
| Ratios, Rates and Percentages
· Level 1
What is 20% of 440?
A
44
✕
B
88
✕
C
880
✕
D
1,760
✕
Question 29 of 54
| Statistics
· Level 1
Argon is placed inside a container with a constant volume. The graph shows the estimated pressure y, in pounds per square inch (psi), of the argon when its temperature is x kelvins. What is the estimated pressure of the argon, in psi, when the temperature is 600 kelvins?
A
6
✕
B
12
✕
C
300
✕
D
600
✕
Question 30 of 54
| Algebra
· Level 1
The function f is defined by f(x) = 4x - 3. What is the value of f(10)?
A
-30
✕
B
37
✕
C
40
✕
D
43
✕
Question 31 of 54
| Advanced Math
· Level 1
Which expression is equivalent to \(16x^3y^2 + 14xy\)?
A
\(2xy(8xy + 7)\)
✕
B
\(2xy(8x^2y + 7)\)
✕
C
\(14xy(2x^2y + 1)\)
✕
D
\(14xy(8x^2y + 1)\)
✕
Question 32 of 54
| Algebra
· Level 2
A veterinarian recommends that each day a certain rabbit should eat 25 calories per pound of the rabbit's weight, plus an additional 11 calories. Which equation represents this situation, where c is the total number of calories the veterinarian recommends the rabbit should eat each day if the rabbit's weight is x pounds?
A
\(c = 25x\)
✕
B
\(c = 36x\)
✕
C
\(c = 11x + 25\)
✕
D
\(c = 25x + 11\)
✕
Question 33 of 54
| Algebra
· Level 2
Student-produced response directions
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
- Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
| Answer | Acceptable entry |
|---|---|
| 3.5 | 3.5 · 3.50 · 7/2 |
| 2/3 | 2/3 · .6666 · .6667 · 0.666 · 0.667 |
| -1/3 | -1/3 · -.3333 · -0.333 |
If \(6n = 12\), what is the value of \(n+4\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 34 of 54
| Algebra
· Level 2
Student-produced response directions
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
- Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
| Answer | Acceptable entry |
|---|---|
| 3.5 | 3.5 · 3.50 · 7/2 |
| 2/3 | 2/3 · .6666 · .6667 · 0.666 · 0.667 |
| -1/3 | -1/3 · -.3333 · -0.333 |
\((d-30)(d+30)-7=-7\) What is a solution to the given equation?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 35 of 54
| Algebra
· Level 2
Line \(r\) in the \(xy\)-plane has a slope of \(4\) and passes through the point \((0,6)\). Which equation defines line \(r\)?
A
\(y=-6x+4\)
✕
B
\(y=6x+4\)
✕
C
\(y=4x-6\)
✕
D
\(y=4x+6\)
✕
Question 36 of 54
| Algebra
· Level 2
A competitive diver dives from a platform into the water. The graph shown gives the height above the water \(y\), in meters, of the diver \(x\) seconds after diving from the platform. What is the best interpretation of the \(x\)-intercept of the graph?
A
The diver reaches a maximum height above the water at \(1.6\) seconds.
✕
B
The diver hits the water at \(1.6\) seconds.
✕
C
The diver reaches a maximum height above the water at \(0.2\) seconds.
✕
D
The diver hits the water at \(0.2\) seconds.
✕
Question 37 of 54
| Advanced Math
· Level 3
The kinetic energy, in joules, of an object with mass 9 kilograms traveling at a speed of \(v\) meters per second is given by the function \(K\), where \(K(v) = \dfrac{9}{2} v^2\). Which of the following is the best interpretation of \(K(34) = 5,202\) in this context?
A
The object traveling at 34 meters per second has a kinetic energy of 5,202 joules.
✕
B
The object traveling at 340 meters per second has a kinetic energy of 5,202 joules.
✕
C
The object traveling at 5,202 meters per second has a kinetic energy of 34 joules.
✕
D
The object traveling at 23,409 meters per second has a kinetic energy of 34 joules.
✕
Question 38 of 54
| Statistics
· Level 3
The scatterplot shows the relationship between two variables \(x\) and \(y\). A line of best fit for the data is also shown. For how many of the 10 data points is the actual \(y\)-value greater than the \(y\)-value predicted by the line of best fit?
A
3
✕
B
4
✕
C
6
✕
D
7
✕
Question 39 of 54
| Probability
· Level 3
At a movie theater, there are a total of 350 customers. Each customer is located in either theater A, theater B, or theater C. If one of these customers is selected at random, the probability of selecting a customer who is located in theater A is 0.48, and the probability of selecting a customer who is located in theater B is 0.24. How many customers are located in theater C?
A
28
✕
B
40
✕
C
84
✕
D
98
✕
Question 40 of 54
| Algebra
· Level 3
Student-produced response directions
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
- Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
| Answer | Acceptable entry |
|---|---|
| 3.5 | 3.5 · 3.50 · 7/2 |
| 2/3 | 2/3 · .6666 · .6667 · 0.666 · 0.667 |
| -1/3 | -1/3 · -.3333 · -0.333 |
What is the slope of the graph of \(y = \dfrac{1}{3}(29 x + 10) + 5 x\) in the \(x y\)-plane?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 41 of 54
| Geometry
· Level 3
Student-produced response directions
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
- Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
| Answer | Acceptable entry |
|---|---|
| 3.5 | 3.5 · 3.50 · 7/2 |
| 2/3 | 2/3 · .6666 · .6667 · 0.666 · 0.667 |
| -1/3 | -1/3 · -.3333 · -0.333 |
The length of each edge of a box is 29 inches. Each side of the box is in the shape of a square. The box does not have a lid. What is the exterior surface area, in square inches, of this box without a lid?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 42 of 54
| Statistics
· Level 3
Five Eretmochelys imbricata, a type of sea turtle, each have a nest. The table shows an original data set of the number of eggs that each turtle laid in its nest.
| Nest | Number of eggs |
|---|---|
| A | 149 |
| B | 144 |
| C | 148 |
| D | 136 |
| E | 139 |
A sixth nest with 121 eggs is added to create a new data set. Which of the following correctly compares the means of the two data sets?
A
The mean of the original data set is greater than the mean of the new data set.
✕
B
The mean of the original data set is less than the mean of the new data set.
✕
C
The means of both data sets are equal.
✕
D
There is not enough information to compare the means.
✕
Question 43 of 54
| Geometry
· Level 3
In \(\triangle RST\), the measure of \(\angle R\) is \(63^{\circ}\). Which of the following could be the measure, in degrees, of \(\angle S\)?
A
116
✕
B
118
✕
C
126
✕
D
180
✕
Question 44 of 54
| Algebra
· Level 3
Which expression is equivalent to \((8x^3+8)-(x^3-2)\)?
A
\(8x^3+6\)
✕
B
\(7x^3+10\)
✕
C
\(8x^3+10\)
✕
D
\(7x^3+6\)
✕
Question 45 of 54
| Algebra
· Level 3
If \(4\sqrt{2x}=16\), what is the value of \(6x\)?
A
\(24\)
✕
B
\(48\)
✕
C
\(72\)
✕
D
\(96\)
✕
Question 46 of 54
| Algebra
· Level 4
For which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the given inequality \(2x-y>883\)?
A
\(440\), \(0\)
\(441\), \(-2\)
\(442\), \(-4\)
\(441\), \(-2\)
\(442\), \(-4\)
✕
B
\(440\), \(0\)
\(442\), \(-2\)
\(441\), \(-4\)
\(442\), \(-2\)
\(441\), \(-4\)
✕
C
\(442\), \(0\)
\(440\), \(-2\)
\(441\), \(-4\)
\(440\), \(-2\)
\(441\), \(-4\)
✕
D
\(442\), \(0\)
\(441\), \(-2\)
\(440\), \(-4\)
\(441\), \(-2\)
\(440\), \(-4\)
✕
Question 47 of 54
| Algebra
· Level 4
Student-produced response directions
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
- Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
| Answer | Acceptable entry |
|---|---|
| 3.5 | 3.5 · 3.50 · 7/2 |
| 2/3 | 2/3 · .6666 · .6667 · 0.666 · 0.667 |
| -1/3 | -1/3 · -.3333 · -0.333 |
\(5y = 10x + 11\), \(-5y = 5x - 21\)
The solution to the given system of equations is \((x, y)\). What is the value of \(30x\)?
The solution to the given system of equations is \((x, y)\). What is the value of \(30x\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 48 of 54
| Geometry
· Level 4
Student-produced response directions
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
- Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
| Answer | Acceptable entry |
|---|---|
| 3.5 | 3.5 · 3.50 · 7/2 |
| 2/3 | 2/3 · .6666 · .6667 · 0.666 · 0.667 |
| -1/3 | -1/3 · -.3333 · -0.333 |
A rectangle is inscribed in a circle, such that each vertex of the rectangle lies on the circumference of the circle. The diagonal of the rectangle is twice the length of the shortest side of the rectangle. The area of the rectangle is \(1,089\sqrt{3}\) square units. What is the length, in units, of the diameter of the circle?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 49 of 54
| Geometry
· Level 4
Rectangles \(ABCD\) and \(EFGH\) are similar. The length of each side of \(EFGH\) is 6 times the length of the corresponding side of \(ABCD\). The area of \(ABCD\) is 54 square units. What is the area, in square units, of \(EFGH\)?
A
9
✕
B
36
✕
C
324
✕
D
1,944
✕
Question 50 of 54
| Algebra
· Level 4
Which expression is equivalent to \(\dfrac{42a}{k} + 42ak\), where \(k > 0\)?
A
\(\dfrac{84a}{k}\)
✕
B
\(\dfrac{84ak^2}{k}\)
✕
C
\(\dfrac{42a(k + 1)}{k}\)
✕
D
\(\dfrac{42a(k^2 + 1)}{k}\)
✕
Question 51 of 54
| Algebra
· Level 5
Which quadratic equation has no real solutions?
A
\(x^2 + 14x - 49 = 0\)
✕
B
\(x^2 - 14x + 49 = 0\)
✕
C
\(5x^2 - 14x - 49 = 0\)
✕
D
\(5x^2 - 14x + 49 = 0\)
✕
Question 52 of 54
| Advanced Math
· Level 5
The function \(P\) models the population, in thousands, of a certain city \(t\) years after 2003. According to the model, the population is predicted to increase by \(4\%\) every \(n\) months. What is the value of \(n\)?
\(P(t) = 260(1.04)^{\left(\frac{6}{4}\right) t}\)
A
8
✕
B
12
✕
C
18
✕
D
72
✕
Question 53 of 54
| Geometry
· Level 5
A circle in the \(xy\)-plane has its center at \((-1, 1)\). Line \(t\) is tangent to this circle at the point \((5, -4)\). Which of the following points also lies on line \(t\)?
A
\(\left(0, \dfrac{6}{5}\right)\)
✕
B
\((4,7)\)
✕
C
\((10, 2)\)
✕
D
\((11,1)\)
✕
Question 54 of 54
| Geometry
· Level 5
Student-produced response directions
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
- Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
| Answer | Acceptable entry |
|---|---|
| 3.5 | 3.5 · 3.50 · 7/2 |
| 2/3 | 2/3 · .6666 · .6667 · 0.666 · 0.667 |
| -1/3 | -1/3 · -.3333 · -0.333 |
For an electric field passing through a flat surface perpendicular to it, the electric flux of the electric field through the surface is the product of the electric field's strength and the area of the surface. A certain flat surface consists of two adjacent squares, where the side length, in meters, of the larger square is \(3\) times the side length, in meters, of the smaller square. An electric field with strength \(29.00\) volts per meter passes uniformly through this surface, which is perpendicular to the electric field. If the total electric flux of the electric field through this surface is 4,640 volts \(\cdot\) meters, what is the electric flux, in volts \(\cdot\) meters, of the electric field through the larger square?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
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