SAT Adaptive Mock 1

Question 1 of 54 | Statistics · Level 1

A group of students voted on five after-school activities. The bar graph shows the number of students who voted for each of the five activities. How many students chose activity 3?

$Question image$

Question 2 of 54 | Ratios, Rates and Percentages · Level 1

What percentage of 300 is 75?

25%

50%

75%

225%

Question 3 of 54 | Algebra · Level 1

$\dfrac{x^2}{25} = 36$
What is a solution to the given equation?

450

900

Question 4 of 54 | Algebra · Level 1

3 more than 8 times a number $x$ is equal to 83. Which equation represents this situation?

$(3)(8)x = 83$

$8x = 83 + 3$

$3x + 8 = 83$

$8x + 3 = 83$

Question 5 of 54 | Algebra · Level 2

Hana deposited a fixed amount into her bank account each month. The function $f(t) = 100 + 25t$ gives the amount, in dollars, in Hana's bank account after $t$ monthly deposits. What is the best interpretation of 25 in this context?

With each monthly deposit, the amount in Hana's bank account increased by \$25.

Before Hana made any monthly deposits, the amount in her bank account was \$25.

After 1 monthly deposit, the amount in Hana's bank account was \$25.

Hana made a total of 25 monthly deposits.

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`

A customer spent \$27 to purchase oranges at \$3 per pound. How many pounds of oranges did the customer purchase?

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`

Nasir bought 9 storage bins that were each the same price. He used a coupon for \$63 off the entire purchase. The cost for the entire purchase after using the coupon was \$27. What was the original price, in dollars, for 1 storage bin?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 8 of 54 | Algebra · Level 2

For the linear function $f$, the table shows three values of $x$ and their corresponding values of $f(x)$.

$x$	$f(x)$
0	29
1	32
2	35

Which equation defines $f(x)$?

$f(x) = 3x + 29$

$f(x) = 29x + 32$

$f(x) = 35x + 29$

$f(x) = 32x + 35$

Question 9 of 54 | Geometry · Level 2

Note: Figures not drawn to scale.
Right triangles PQR and STU are similar, where P corresponds to S. If the measure of angle Q is $18^{\circ}$, what is the measure of angle S?

$Question image$

18 degrees

72 degrees

82 degrees

162 degrees

Question 10 of 54 | Statistics · Level 3

The scatterplot shows the relationship between two variables, $x$ and $y$.
Which of the following equations is the most appropriate linear model for the data shown?

$Question image$

$y = 0.9 + 9.4x$

$y = 0.9 - 9.4x$

$y = 9.4 + 0.9x$

$y = 9.4 - 0.9x$

Question 11 of 54 | Algebra · Level 3

$2.5b + 5r = 80$
The given equation describes the relationship between the number of birds, $b$, and the number of reptiles, $r$, that can be cared for at a pet care business on a given day. If the business cares for 16 reptiles on a given day, how many birds can it care for on this day?

Question 12 of 54 | Algebra · Level 3

What is an equation of the graph shown?

$Question image$

$y = -2x - 8$

$y = x - 8$

$y = -x - 8$

$y = 2x - 8$

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`

If $\dfrac{x}{8} = 5$, what is the value of $\dfrac{8}{x}$?

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`

$24x + y = 48$, $6x + y = 72$
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 15 of 54 | Algebra · Level 3

Line $t$ in the $x y$-plane has a slope of $-\dfrac{1}{3}$ and passes through the point $(9, 10)$. Which equation defines line $t$?

$y = 13x - \dfrac{1}{3}$

$y = 9x + 10$

$y = -\dfrac{x}{3} + 10$

$y = -\dfrac{x}{3} + 13$

Question 16 of 54 | Advanced Math · Level 3

The function $f(x) = 206(1.034)^x$ models the value, in dollars, of a certain bank account by the end of each year from 1957 through 1972, where $x$ is the number of years after 1957. Which of the following is the best interpretation of "$f(5)$ is approximately equal to 243" in this context?

The value of the bank account is estimated to be approximately 5 dollars greater in 1962 than in 1957.

The value of the bank account is estimated to be approximately 243 dollars in 1962.

The value, in dollars, of the bank account is estimated to be approximately 5 times greater in 1962 than in 1957.

The value of the bank account is estimated to increase by approximately 243 dollars every 5 years between 1957 and 1972.

Question 17 of 54 | Ratios, Rates and Percentages · Level 3

For a certain rectangular region, the ratio of its length to its width is 35 to 10. If the width of the rectangular region increases by 7 units, how must the length change to maintain this ratio?

It must decrease by 24.5 units.

It must increase by 24.5 units.

It must decrease by 7 units.

It must increase by 7 units.

Question 18 of 54 | Advanced Math · Level 3

Square P has a side length of $x$ inches. Square Q has a perimeter that is 176 inches greater than the perimeter of square P. The function $f$ gives the area of square Q, in square inches. Which of the following defines $f$?

$f(x) = (x + 44)^2$

$f(x) = (x + 176)^2$

$f(x) = (176x + 44)^2$

$f(x) = (176x + 176)^2$

Question 19 of 54 | Advanced Math · Level 4

$\dfrac{14x}{7y} = 2 \sqrt{w + 19}$
The given equation relates the distinct positive real numbers $w$, $x$, and $y$. Which equation correctly expresses $w$ in terms of $x$ and $y$?

$w = \sqrt{\dfrac{x}{y}} - 19$

$w = \sqrt{\dfrac{28x}{14y}} - 19$

$w = \left(\dfrac{x}{y}\right)^2 - 19$

$w = \left(\dfrac{28x}{14y}\right)^2 - 19$

Question 20 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`

Point O is the center of a circle. The measure of arc RS on this circle is 100 degrees. What is the measure, in degrees, of its associated angle ROS?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 21 of 54 | Advanced Math · 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 expression $6 \sqrt[5]{3^5 x^{45}} \cdot \sqrt[8]{2^8 x}$ is equivalent to $a x^b$, where $a$ and $b$ are positive constants and $x > 1$.
What is the value of $a + b$?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 22 of 54 | Geometry · Level 4

A right triangle has sides of length $2 \sqrt{2}$, $6 \sqrt{2}$, and $\sqrt{80}$ units. What is the area of the triangle, in square units?

$8 \sqrt{2} + \sqrt{80}$

$24 \sqrt{80}$

Question 23 of 54 | Advanced Math · Level 4

The expression $4x^2 + b x - 45$, where $b$ is a constant, can be rewritten as $(h x + k)(x + j)$, where $h$, $k$, and $j$ are integer constants. Which of the following must be an integer?

$\dfrac{b}{h}$

$\dfrac{b}{k}$

$\dfrac{45}{h}$

$\dfrac{45}{k}$

Question 24 of 54 | Advanced Math · Level 5

$y = 2x^2 - 21x + 64$, $y = 3x + a$
In the given system of equations, $a$ is a constant. The graphs of the equations in the given system intersect at exactly one point, $(x, y)$, in the $x y$-plane. What is the value of $x$?

-8

-6

Question 25 of 54 | Geometry · Level 5

An isosceles right triangle has a hypotenuse of length 58 inches. What is the perimeter, in inches, of this triangle?

$29 \sqrt{2}$

$58 \sqrt{2}$

$58 + 58 \sqrt{2}$

$58 + 116 \sqrt{2}$

Question 26 of 54 | Advanced Math · Level 5

In the $x y$-plane, a parabola has vertex $(9, -14)$ and intersects the $x$-axis at two points. If the equation of the parabola is written in the form $y = a x^2 + b x + c$, where $a$, $b$, and $c$ are constants, which of the following could be the value of $a + b + c$?

-23

-19

-14

-12

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`

Function $f$ is defined by $f(x) = -a^x + b$, where $a$ and $b$ are constants. In the $x y$-plane, the graph of $y = f(x) - 15$ has a $y$-intercept at $\left(0, -\dfrac{99}{7}\right)$. The product of $a$ and $b$ is $\dfrac{65}{7}$. What is the value of $a$?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 28 of 54 | Statistics · Level 1

The line graph shows the estimated number of chipmunks in a state park on April 1 of each year from 1989 to 1999.

Based on the line graph, in which year was the estimated number of chipmunks in the state park the greatest?

$Question image$

1989

1994

1995

1998

Question 29 of 54 | Ratios, Rates and Percentages · Level 1

A fish swam a distance of 5,104 yards. How far did the fish swim, in miles? (1 mile = 1,760 yards)

0.3

2.9

3,344

6,864

Question 30 of 54 | Algebra · Level 1

Which expression is equivalent to $12x^3 - 5x^3$?

$7x^6$

$17x^3$

$7x^3$

$17x^6$

Question 31 of 54 | Algebra · Level 1

$x + y = 18$, $5y = x$
What is the solution $(x, y)$ to the given system of equations?

(15, 3)

(16, 2)

(17, 1)

(18, 0)

Question 32 of 54 | Algebra · Level 2

The point $(8, 2)$ in the $x y$-plane is a solution to which of the following systems of inequalities?

$x > 0$ and $y > 0$

$x > 0$ and $y < 0$

$x < 0$ and $y > 0$

$x < 0$ and $y < 0$

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`

$|x - 5| = 10$
What is one possible solution to the given equation?

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`

$f(x) = 7x + 1$
The function gives the total number of people on a company retreat with $x$ managers. What is the total number of people on a company retreat with 7 managers?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 35 of 54 | Advanced Math · Level 2

$h(x) = x^2 - 3$
Which table gives three values of $x$ and their corresponding values of $h(x)$ for the given function $h$?

x: 1, 2, 3; h(x): 4, 5, 6

x: 1, 2, 3; h(x): -2, 1, 6

x: 1, 2, 3; h(x): -1, 1, 3

x: 1, 2, 3; h(x): -2, 1, 3

Question 36 of 54 | Advanced Math · Level 2

The function $f$ is defined by $f(x) = 270(0.1)^x$. What is the value of $f(0)$?

270

Question 37 of 54 | Statistics · Level 3

To estimate the proportion of a population that has a certain characteristic, a random sample was selected from the population. Based on the sample, it is estimated that the proportion of the population that has the characteristic is 0.49, with an associated margin of error of 0.04. Based on this estimate and margin of error, which of the following is the most appropriate conclusion about the proportion of the population that has the characteristic?

It is plausible that the proportion is between 0.45 and 0.53.

It is plausible that the proportion is less than 0.45.

The proportion is exactly 0.49.

It is plausible that the proportion is greater than 0.53.

Question 38 of 54 | Algebra · Level 3

A moving truck can tow a trailer if the combined weight of the trailer and the boxes it contains is no more than 4,600 pounds. What is the maximum number of boxes this truck can tow in a trailer with a weight of 500 pounds if each box weighs 120 pounds?

Question 39 of 54 | Advanced Math · Level 3

$-4x^2 - 7x = -36$
What is the positive solution to the given equation?

$\dfrac{7}{4}$

$\dfrac{9}{4}$

Question 40 of 54 | Probability · Level 3

The table summarizes the distribution of color and shape for 100 tiles of equal area.
Square: Red 10, Blue 20, Yellow 25, Total 55
Pentagon: Red 20, Blue 10, Yellow 15, Total 45
Total: Red 30, Blue 30, Yellow 40, Total 100

If one of these tiles is selected at random, what is the probability of selecting a red tile? (Express your answer as a decimal or fraction, not as a percent.)

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 41 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`

$f(x) = 2x + 3$
For the given function $f$, the graph of $y = f(x)$ in the $x y$-plane is parallel to line $j$. What is the slope of line $j$?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 42 of 54 | Algebra · Level 3

A proposal for a new library was included on an election ballot. A radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. A social media post reported that 15,000 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?

7,500

15,000

22,500

45,000

Question 43 of 54 | Geometry · Level 3

Note: Figure not drawn to scale.
In the figure, lines $m$ and $n$ are parallel. If $x = 6k + 13$ and $y = 8k - 29$, what is the value of $z$?

$Question image$

139

Question 44 of 54 | Algebra · Level 3

$-3x + 21p x = 84$
In the given equation, $p$ is a constant. The equation has no solution. What is the value of $p$?

$\dfrac{1}{7}$

$\dfrac{4}{3}$

Question 45 of 54 | Advanced Math · Level 3

$f(x) = (x - 10)(x + 13)$
The function $f$ is defined by the given equation. For what value of $x$ does $f(x)$ reach its minimum?

-130

-13

$-\dfrac{23}{2}$

$-\dfrac{3}{2}$

Question 46 of 54 | Advanced Math · Level 4

The function $f(x) = \dfrac{1}{9}(x - 7)^2 + 3$ gives a metal ball's height above the ground $f(x)$, in inches, $x$ seconds after it started moving on a track, where $0 \leq x \leq 10$. Which of the following is the best interpretation of the vertex of the graph of $y = f(x)$ in the $x y$-plane?

The metal ball's minimum height was 3 inches above the ground.

The metal ball's minimum height was 7 inches above the ground.

The metal ball's height was 3 inches above the ground when it started moving.

The metal ball's height was 7 inches above the ground when it started moving.

Question 47 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 triangle JKL, $\cos(K) = \dfrac{24}{51}$ and angle J is a right angle. What is the value of $\cos(L)$?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 48 of 54 | Advanced Math · 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`

$-x^2 + b x - 676 = 0$
In the given equation, $b$ is a positive integer. The equation has no real solution. What is the greatest possible value of $b$?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 49 of 54 | Algebra · Level 4

If a new graph of three linear equations is created using the system of equations shown and the equation $x + 4y = -16$, how many solutions $(x, y)$ will the resulting system of three equations have?

$Question image$

Zero

Exactly one

Exactly two

Infinitely many

Question 50 of 54 | Advanced Math · Level 4

$f(x) = 5470(0.64)^{\frac{x}{12}}$
The function $f$ gives the value, in dollars, of a certain piece of equipment after $x$ months of use. If the value of the equipment decreases each year by $p$% of its value the preceding year, what is the value of $p$?

Question 51 of 54 | Statistics · Level 5

The dot plot represents the 15 values in data set A. Data set B is created by adding 56 to each of the values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?

$Question image$

The median of data set B is equal to the median of data set A, and the range of data set B is equal to the range of data set A.

The median of data set B is equal to the median of data set A, and the range of data set B is greater than the range of data set A.

The median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A.

The median of data set B is greater than the median of data set A, and the range of data set B is greater than the range of data set A.

Question 52 of 54 | Geometry · Level 5

The equation $x^2 + (y - 1)^2 = 49$ represents circle A. Circle B is obtained by shifting circle A down 2 units in the $x y$-plane. Which of the following equations represents circle B?

$(x - 2)^2 + (y - 1)^2 = 49$

$x^2 + (y - 3)^2 = 49$

$(x + 2)^2 + (y - 1)^2 = 49$

$x^2 + (y + 1)^2 = 49$

Question 53 of 54 | Geometry · Level 5

Two identical rectangular prisms each have a height of 90 centimeters (cm). The base of each prism is a square, and the surface area of each prism is $K$ cm${}^2$. If the prisms are glued together along a square base, the resulting prism has a surface area of $\dfrac{92}{47} K$ cm${}^2$. What is the side length, in cm, of each square base?

Question 54 of 54 | Ratios, Rates and Percentages · 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`

210 is $p$% greater than 30. What is the value of $p$?

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

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Review Your Answers

Area & Circumference

Volume

Triangles

Other Facts

Exam Paused

Time is up

\(x\)	\(f(x)\)
0	29
1	32
2	35

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Student-produced response directions

Review Your Answers

Report an issue with this question

Area & Circumference

Volume

Triangles

Other Facts

Submit Exam?

Exam Paused

Time is up