Question 1 of 54
| Statistics
· Level 1
The line graph shows the percent of cars for sale at a used car lot on a given day by model year.
For what model year is the percent of cars for sale the smallest?
For what model year is the percent of cars for sale the smallest?
A
2012
✕
B
2013
✕
C
2014
✕
D
2015
✕
Question 2 of 54
| Algebra
· Level 1
The graph of a system of linear equations is shown. What is the solution \((x, y)\) to the system?
A
\((4, -5)\)
✕
B
\((0, 3)\)
✕
C
\((0, -2)\)
✕
D
\((-2, 3)\)
✕
Question 3 of 54
| Algebra
· Level 1
The total cost, in dollars, to rent a surfboard consists of a \$25 service fee and a \$10 per hour rental fee. A person rents a surfboard for \(t\) hours and intends to spend a maximum of \$75 to rent the surfboard. Which inequality represents this situation?
A
\(10t \leq 75\)
✕
B
\(10t + 25 \leq 75\)
✕
C
\(25t \leq 75\)
✕
D
\(25t + 10 \leq 75\)
✕
Question 4 of 54
| Advanced Math
· Level 1
The graph shown will be translated up 4 units. Which of the following will be the resulting graph?
A
A
✕
B
B
✕
C
C
✕
D
D
✕
Question 5 of 54
| Algebra
· Level 2
\(s = 40 + 3t\)
The equation gives the speed \(s\), in miles per hour, of a certain car \(t\) seconds after it began to accelerate. What is the speed, in miles per hour, of the car 5 seconds after it began to accelerate?
The equation gives the speed \(s\), in miles per hour, of a certain car \(t\) seconds after it began to accelerate. What is the speed, in miles per hour, of the car 5 seconds after it began to accelerate?
A
40
✕
B
43
✕
C
45
✕
D
55
✕
Question 6 of 54
| Advanced Math
· 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 function \(f\) is defined by \(f(x) = \dfrac{x + 7}{x + 1}^2\). What is the value of \(f(2)\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 7 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 |
An event planner is planning a party. It costs the event planner a onetime fee of \$35 to rent the venue and \$10.25 per attendee. The event planner has a budget of \$300. What is the greatest number of attendees possible without exceeding the budget?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 8 of 54
| Probability
· Level 2
The table gives the distribution of votes for a new school mascot and grade level for 80 students.
| Mascot | Sixth | Seventh | Eighth | Total |
|---|---|---|---|---|
| Badger | 4 | 9 | 9 | 22 |
| Lion | 9 | 2 | 9 | 20 |
| Longhorn | 4 | 6 | 4 | 14 |
| Tiger | 6 | 9 | 9 | 24 |
| Total | 23 | 26 | 31 | 80 |
If one of these students is selected at random, what is the probability of selecting a student whose vote for new mascot was for a lion?
A
\(\dfrac{1}{9}\)
✕
B
\(\dfrac{1}{5}\)
✕
C
\(\dfrac{1}{4}\)
✕
D
\(\dfrac{2}{3}\)
✕
Question 9 of 54
| Geometry
· Level 2
Triangles \(A B C\) and \(D E F\) are congruent, where \(A\) corresponds to \(D\), and \(B\) and \(E\) are right angles. The measure of angle \(A\) is \(18^{\circ}\). What is the measure of angle \(F\)?
A
\(18^{\circ}\)
✕
B
\(72^{\circ}\)
✕
C
\(90^{\circ}\)
✕
D
\(162^{\circ}\)
✕
Question 10 of 54
| Algebra
· Level 3
If \(\dfrac{x}{4} + 2 = 12\), what is the value of \(\dfrac{x}{16} + 8\)?
A
40
✕
B
48
✕
C
56
✕
D
60
✕
Question 11 of 54
| Advanced Math
· Level 3
Which expression is equivalent to \((m^4 q^4 z^{-1})(m q^5 z^3)\), where \(m\), \(q\), and \(z\) are positive?
A
\(m^{20} q^4 z^{-3}\)
✕
B
\(m^5 q^9 z^2\)
✕
C
\(m^6 q^8 z^{-1}\)
✕
D
\(m^{20} q^{12} z^{-2}\)
✕
Question 12 of 54
| Advanced Math
· Level 3
An airplane descends from an altitude of 9,500 feet to 5,000 feet at a constant rate of 400 feet per minute. What type of function best models the relationship between the descending airplane's altitude and time?
A
Decreasing exponential
✕
B
Decreasing linear
✕
C
Increasing exponential
✕
D
Increasing linear
✕
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 |
\(3x + 6y = 4\), \(3x + 4y = 2\)
The solution to the given system of equations is \((x, y)\). What is the value of \(y\)?
The solution to the given system of equations is \((x, y)\). What is the value of \(y\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 14 of 54
| Advanced Math
· 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 function \(f\) is defined by \(f(x) = (x - 6)(x - 2)(x + 6)\). In the \(x y\)-plane, the graph of \(y = g(x)\) is the result of translating the graph of \(y = f(x)\) up 4 units. What is the value of \(g(0)\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 15 of 54
| Advanced Math
· Level 3
The function \(f(w) = 6w^2\) gives the area of a rectangle, in square feet (\(\text{ft}^2\)), if its width is \(w\) ft and its length is 6 times its width. Which of the following is the best interpretation of \(f(14) = 1,176\)?
A
If the width of the rectangle is 14 ft, then the area of the rectangle is 1,176 \(\text{ft}^2\).
✕
B
If the width of the rectangle is 14 ft, then the length of the rectangle is 1,176 ft.
✕
C
If the width of the rectangle is 1,176 ft, then the length of the rectangle is 14 ft.
✕
D
If the width of the rectangle is 1,176 ft, then the area of the rectangle is 14 \(\text{ft}^2\).
✕
Question 16 of 54
| Advanced Math
· Level 3
The number of bacteria in a liquid medium doubles every day. There are 44,000 bacteria in the liquid medium at the start of an observation. Which of the following represents the number of bacteria, \(y\), in the liquid medium \(t\) days after the start of the observation?
A
\(y = \dfrac{1}{2}(44,000)^t\)
✕
B
\(y = 2(44,000)^t\)
✕
C
\(y = 44,000\left(\dfrac{1}{2}\right)^t\)
✕
D
\(y = 44,000(2)^t\)
✕
Question 17 of 54
| Advanced Math
· Level 3
The table shows the exponential relationship between the number of years, \(x\), since Hana started training in pole vault, and the estimated height \(h(x)\), in meters, of her best pole vault for that year.
| \(x\) | \(h(x)\) |
|---|---|
| 0 | 1.23 |
| 2 | 1.54 |
| 4 | 1.94 |
Which of the following functions best represents this relationship, where \(x \leq 4\)?
A
\(h(x) = 1.12(0.23)^x\)
✕
B
\(h(x) = 1.12(1.23)^x\)
✕
C
\(h(x) = 1.23(0.12)^x\)
✕
D
\(h(x) = 1.23(1.12)^x\)
✕
Question 18 of 54
| Advanced Math
· Level 3
The function \(h\) is defined by \(h(x) = 4x + 28\). The graph of \(y = h(x)\) in the \(x y\)-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 \(a + b\)?
A
21
✕
B
28
✕
C
32
✕
D
35
✕
Question 19 of 54
| Algebra
· Level 4
\(y < 5x + 6\)
For which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the given inequality?
For which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the given inequality?
A
\(x = 3, y = 17; x = 5, y = 27; x = 7, y = 37\)
✕
B
\(x = 3, y = 17; x = 5, y = 35; x = 7, y = 37\)
✕
C
\(x = 3, y = 25; x = 5, y = 35; x = 7, y = 45\)
✕
D
\(x = 3, y = 21; x = 5, y = 31; x = 7, y = 41\)
✕
Question 20 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 |
\(y = 4x + 1\), \(4y = 15x - 8\)
The solution to the given system of equations is \((x, y)\). What is the value of \(x - y\)?
The solution to the given system of equations is \((x, y)\). What is the value of \(x - y\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 21 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 right triangle has legs with lengths of 24 centimeters and 21 centimeters. If the length of this triangle's hypotenuse, in centimeters, can be written in the form \(3 \sqrt{d}\), where \(d\) is an integer, what is the value of \(d\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 22 of 54
| Geometry
· Level 4
The floor of a ballroom has an area of 600 square meters. An architect creates a scale model of the floor of the ballroom, where the length of each side of the model is \(\dfrac{1}{10}\) times the length of the corresponding side of the actual floor of the ballroom. What is the area, in square meters, of the scale model?
A
6
✕
B
10
✕
C
60
✕
D
150
✕
Question 23 of 54
| Geometry
· Level 4
Which of the following equations represents a circle in the \(x y\)-plane that intersects the \(y\)-axis at exactly one point?
A
\((x - 8)^2 + (y - 8)^2 = 16\)
✕
B
\((x - 8)^2 + (y - 4)^2 = 16\)
✕
C
\((x - 4)^2 + (y - 9)^2 = 16\)
✕
D
\(x^2 + (y - 9)^2 = 16\)
✕
Question 24 of 54
| Geometry
· Level 5
In triangles \(A B C\) and \(D E F\), angles \(B\) and \(E\) each have measure \(27^{\circ}\) and angles \(C\) and \(F\) each have measure \(41^{\circ}\). Which additional piece of information is sufficient to determine whether triangle \(A B C\) is congruent to triangle \(D E F\)?
A
The measure of angle \(A\)
✕
B
The length of side \(A B\)
✕
C
The lengths of sides \(B C\) and \(E F\)
✕
D
No additional information is necessary.
✕
Question 25 of 54
| Ratios, Rates and Percentages
· Level 5
The result of increasing the quantity \(x\) by 1,800% is 684. What is the value of \(x\)?
A
12,996
✕
B
12,312
✕
C
38
✕
D
36
✕
Question 26 of 54
| Algebra
· Level 5
A window repair specialist charges \$220 for the first two hours of repair plus an hourly fee for each additional hour. The total cost for 5 hours of repair is \$400. Which function \(f\) gives the total cost, in dollars, for \(x\) hours of repair, where \(x \geq 2\)?
A
\(f(x) = 60x + 100\)
✕
B
\(f(x) = 60x + 220\)
✕
C
\(f(x) = 80x\)
✕
D
\(f(x) = 80x + 220\)
✕
Question 27 of 54
| Advanced Math
· 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 |
\(x(x + 1) - 56 = 4x(x - 7)\)
What is the sum of the solutions to the given equation?
What is the sum of the solutions to the given equation?
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
An object's speed is 64 yards per second. What is the object's speed, in feet per second? (1 yard = 3 feet)
A
61
✕
B
67
✕
C
94
✕
D
192
✕
Question 29 of 54
| Algebra
· Level 1
The scatterplot shows the relationship between two variables, \(x\) and \(y\). A line of best fit is also shown.
Which of the following equations best represents the line of best fit shown?
Which of the following equations best represents the line of best fit shown?
A
\(y = x + 3.4\)
✕
B
\(y = x - 3.4\)
✕
C
\(y = -x + 3.4\)
✕
D
\(y = -x - 3.4\)
✕
Question 30 of 54
| Algebra
· Level 1
The graph shows the linear relationship between \(x\) and \(y\). Which table gives three values of \(x\) and their corresponding values of \(y\) for this relationship?
A
\(x = 0, y = 0; x = 1, y = -7; x = 2, y = -9\)
✕
B
\(x = 0, y = 0; x = 1, y = -3; x = 2, y = -1\)
✕
C
\(x = 0, y = -5; x = 1, y = -7; x = 2, y = -9\)
✕
D
\(x = 0, y = -5; x = 1, y = -3; x = 2, y = -1\)
✕
Question 31 of 54
| Geometry
· Level 1
What is the perimeter, in inches, of a rectangle with a length of 4 inches and a width of 9 inches?
A
13
✕
B
17
✕
C
22
✕
D
26
✕
Question 32 of 54
| Algebra
· Level 2
\(\dfrac{m}{7} = 2(n + p)\)
The given equation relates the positive numbers \(m\), \(n\), and \(p\). Which equation correctly gives \(m\) in terms of \(n\) and \(p\)?
The given equation relates the positive numbers \(m\), \(n\), and \(p\). Which equation correctly gives \(m\) in terms of \(n\) and \(p\)?
A
\(m = 2(n + p)^7\)
✕
B
\(m = 2(n + p)\)
✕
C
\(m = 2(n + p) - 7\)
✕
D
\(m = 2 - n - p - 7\)
✕
Question 33 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 |
73, 74, 75, 77, 79, 82, 84, 85, 91
What is the median of the data shown?
What is the median of the data shown?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 34 of 54
| Advanced Math
· 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 function \(f\) is defined by \(f(x) = 4^x\). For what value of \(x\) does \(f(x) = 8\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 35 of 54
| Ratios, Rates and Percentages
· Level 2
Of 300,000 paper clips, 234,000 are size large. What percentage of the paper clips are size large?
A
22%
✕
B
33%
✕
C
66%
✕
D
78%
✕
Question 36 of 54
| Algebra
· Level 2
\(f(x) = 8x + 4\)
The function \(f\) gives the estimated height, in feet, of a willow tree \(x\) years after its height was first measured. Which statement is the best interpretation of 4 in this context?
The function \(f\) gives the estimated height, in feet, of a willow tree \(x\) years after its height was first measured. Which statement is the best interpretation of 4 in this context?
A
The tree will be measured each year for 4 years.
✕
B
The tree is estimated to grow to a maximum height of 4 feet.
✕
C
The estimated height of the tree increased by 4 feet each year.
✕
D
The estimated height of the tree was 4 feet when it was first measured.
✕
Question 37 of 54
| Advanced Math
· Level 3
\(y = 76\), \(y = x^2 - 5\)
The graphs of the given equations in the \(x y\)-plane intersect at the point \((x, y)\). What is a possible value of \(x\)?
The graphs of the given equations in the \(x y\)-plane intersect at the point \((x, y)\). What is a possible value of \(x\)?
A
\(-\dfrac{76}{5}\)
✕
B
\(-9\)
✕
C
5
✕
D
76
✕
Question 38 of 54
| Geometry
· Level 3
Each side of equilateral triangle \(S\) is multiplied by a scale factor of \(k\) to create equilateral triangle \(T\). The length of each side of triangle \(T\) is greater than the length of each side of triangle \(S\). Which of the following could be the value of \(k\)?
A
\(\dfrac{29}{28}\)
✕
B
1
✕
C
\(\dfrac{28}{29}\)
✕
D
0
✕
Question 39 of 54
| Algebra
· Level 3
\(\dfrac{x}{66} = \dfrac{66}{x}\)
How many solutions does the given equation have?
How many solutions does the given equation have?
A
Exactly one
✕
B
Exactly two
✕
C
Infinitely many
✕
D
Zero
✕
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 |
Vivian bought party hats and cupcakes for \$71. Each package of party hats cost \$3, and each cupcake cost \$1. If Vivian bought 10 packages of party hats, how many cupcakes did she buy?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 41 of 54
| Advanced Math
· 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 exponential function \(g\) is defined by \(g(x) = 19 \cdot a^x\), where \(a\) is a positive constant. If \(g(3) = 2,375\), what is the value of \(g(4)\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 42 of 54
| Trigonometry
· Level 3
In right triangle \(R S T\), the sum of the measures of angle \(R\) and angle \(S\) is 90 degrees. The value of \(\sin(R)\) is \(\dfrac{\sqrt{15}}{4}\). What is the value of \(\cos(S)\)?
A
\(\dfrac{\sqrt{15}}{15}\)
✕
B
\(\dfrac{\sqrt{15}}{4}\)
✕
C
\(\dfrac{4 \sqrt{15}}{15}\)
✕
D
\(\sqrt{15}\)
✕
Question 43 of 54
| Algebra
· Level 3
The graph shows the relationship between the number of shares of stock from Company A, \(x\), and the number of shares of stock from Company B, \(y\), that Simone can purchase. Which equation could represent this relationship?
A
\(y = 8x + 12\)
✕
B
\(8x + 12y = 480\)
✕
C
\(y = 12x + 8\)
✕
D
\(12x + 8y = 480\)
✕
Question 44 of 54
| Advanced Math
· Level 3
Which expression is equivalent to \(\dfrac{8x(x - 7) - 3(x - 7)}{2x - 14}\), where \(x > 7\)?
A
\(\dfrac{x - 7}{5}\)
✕
B
\(\dfrac{8x - 3}{2}\)
✕
C
\(\dfrac{8x^2 - 3x - 14}{2x - 14}\)
✕
D
\(\dfrac{8x^2 - 3x - 77}{2x - 14}\)
✕
Question 45 of 54
| Advanced Math
· Level 3
The function \(f\) is defined by \(f(x) = -8(2)^x + 22\). What is the \(y\)-intercept of the graph of \(y = f(x)\) in the \(x y\)-plane?
A
\((0, 14)\)
✕
B
\((0, 2)\)
✕
C
\((0, 22)\)
✕
D
\((0, -8)\)
✕
Question 46 of 54
| Algebra
· Level 4
Keenan made 32 cups of vegetable broth. Keenan then filled \(x\) small jars and \(y\) large jars with all the vegetable broth he made. The equation \(3x + 5y = 32\) represents this situation. Which is the best interpretation of \(5y\) in this context?
A
The number of large jars Keenan filled
✕
B
The number of small jars Keenan filled
✕
C
The total number of cups of vegetable broth in the large jars
✕
D
The total number of cups of vegetable broth in the small jars
✕
Question 47 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 circle in the \(x y\)-plane has a diameter with endpoints \((2, 4)\) and \((2, 14)\). An equation of this circle is \((x - 2)^2 + (y - 9)^2 = r^2\), where \(r\) is a positive constant. What is the value of \(r\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 48 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 |
Line \(\ell\) is defined by \(3y + 12x = 5\). Line \(n\) is perpendicular to line \(\ell\) in the \(x y\)-plane. What is the slope of line \(n\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 49 of 54
| Advanced Math
· Level 4
\(|-5x + 13| = 73\)
What is the sum of the solutions to the given equation?
What is the sum of the solutions to the given equation?
A
\(-\dfrac{146}{5}\)
✕
B
\(-12\)
✕
C
0
✕
D
\(\dfrac{26}{5}\)
✕
Question 50 of 54
| Advanced Math
· Level 4
For the exponential function \(f\), the value of \(f(1)\) is \(k\), where \(k\) is a constant. Which of the following equivalent forms of the function \(f\) shows the value of \(k\) as the coefficient or the base?
A
\(f(x) = 50(1.6)^{x + 1}\)
✕
B
\(f(x) = 80(1.6)^x\)
✕
C
\(f(x) = 128(1.6)^{x - 1}\)
✕
D
\(f(x) = 204.8(1.6)^{x - 2}\)
✕
Question 51 of 54
| Advanced Math
· Level 5
\(-9x^2 + 30x + c = 0\)
In the given equation, \(c\) is a constant. The equation has exactly one solution. What is the value of \(c\)?
In the given equation, \(c\) is a constant. The equation has exactly one solution. What is the value of \(c\)?
A
3
✕
B
0
✕
C
\(-25\)
✕
D
\(-53\)
✕
Question 52 of 54
| Advanced Math
· Level 5
Which of the following expressions has a factor of \(x + 2b\), where \(b\) is a positive integer constant?
A
\(3x^2 + 13x b + 14b^2\)
✕
B
\(3x^2 + 28x b + 14b^2\)
✕
C
\(3x^2 + 42x b + 14b^2\)
✕
D
\(3x^2 + 49x b + 14b^2\)
✕
Question 53 of 54
| Statistics
· Level 5
Two data sets of 23 integers each are summarized in the histograms shown. For each of the histograms, the first interval represents the frequency of integers greater than or equal to 10, but less than 20. The second interval represents the frequency of integers greater than or equal to 20, but less than 30, and so on. What is the smallest possible difference between the mean of data set A and the mean of data set B?
A
0
✕
B
1
✕
C
10
✕
D
23
✕
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 |
The perimeter of an equilateral triangle is 624 centimeters. The height of this triangle is \(k \sqrt{3}\) centimeters, where \(k\) is a constant. What is the value of \(k\)?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Review Your Answers
Check your work before submitting. You can return to any question.
Answered: 0
Unanswered: 0
다시 보기: 0