SAT Practice Test 9 Digital

Question 1 of 54 | Algebra · Level 1

The lengths of two sides of a triangle are 4 centimeters and 6 centimeters. If the perimeter of the triangle is 18 centimeters, what is the length, in centimeters, of the third side of this triangle?

Question 2 of 54 | Algebra · Level 1

$16x + 30 = 190$
Which equation has the same solution as the given equation?

$16x = 30$

$16x = 130$

$16x = 160$

$16x = 190$

Question 3 of 54 | Ratios, Rates and Percentages · Level 1

Ty set a goal to walk at least 24 kilometers every day to prepare for a multiday hike. On a certain day, Ty plans to walk at an average speed of 4 kilometers per hour. What is the minimum number of hours Ty must walk on that day to fulfill the daily goal?

Question 4 of 54 | Advanced Math · Level 1

The function g is defined by $g(x) = x^2 + 9$. For which value of $x$ is $g(x) = 25$?

Question 5 of 54 | Advanced Math · Level 2

Which expression is equivalent to $9x^2 + 5x$?

$x(9x + 5)$

$5x(9x + 1)$

$9x(x + 5)$

$x^2(9x + 5)$

Question 6 of 54 | Statistics · Level 2

Each value in the data set shown represents the height, in centimeters, of a plant. 6, 10, 13, 2, 15, 22, 10, 4, 4, 4
What is the mean height, in centimeters, of these plants?

Question 7 of 54 | Algebra · Level 2

A student council group is selling school posters for a fundraiser. They use the function $p(x) = 5x - 220$, where $p(x)$ is the profit, in dollars, and $x$ is the number of posters sold. If the group wants to earn a profit of \$900, how many school posters must they sell?

Question 8 of 54 | Algebra · Level 2

Jay walks at a speed of 3 miles per hour and runs at a speed of 5 miles per hour. He walks for w hours and runs for r hours for a combined total of 14 miles. Which equation represents this situation?

$3w + 5r = 14$

$\left(\dfrac{1}{3}\right)w + \left(\dfrac{1}{5}\right)r = 14$

$\left(\dfrac{1}{3}\right)w + \left(\dfrac{1}{5}\right)r = 112$

$3w + 5r = 112$

Question 9 of 54 | Algebra · Level 2

John paid a total of \$165 for a microscope by making a down payment of \ $ p $ 16 each. Which of the following equations represents this situation?$

$16p - 37 = 165$

$37p - 16 = 165$

$16p + 37 = 165$

$37p + 16 = 165$

Question 10 of 54 | Algebra · Level 3

$y - 57 = px$
The given equation relates the positive numbers $p$, $x$, and $y$. Which equation correctly expresses $y$ in terms of $p$ and $x$?

$y = 57x + p$

$y = px + 57$

$y = 57px$

$y = \dfrac{px}{57}$

Question 11 of 54 | Advanced Math · Level 3

A company opens an account with an initial balance of \$36,100.00. The account earns interest, and no additional deposits or withdrawals are made. The account balance is given by an exponential function $A$, where $A(t)$ is the account balance, in dollars, $t$ years after the account is opened. The account balance after 13 years is \$68,071.93. Which equation could define $A$?

$A(t) = 36,100.00(1.05)^t$

$A(t) = 31,971.93(1.05)^t$

$A(t) = 31,971.93(0.05)^t$

$A(t) = 36,100.00(0.05)^t$

Question 12 of 54 | Geometry · Level 3

[Circle diagram with center O, circumference 144pi, and diameters PR and QS]
The circle shown has center O, circumference 144pi, and diameters PR and QS. The length of arc PS is twice the length of arc PQ. What is the length of arc QR?

$Question image$

$24\pi$

$48\pi$

$72\pi$

$96\pi$

Question 13 of 54 | Algebra · Level 3

$y = -2x$, $3x + y = 40$
The solution to the given system of equations is $(x, y)$. What is the value of $x$?

Question 14 of 54 | Statistics · Level 3

Data value	Frequency
6	3
7	3
8	8
9	8
10	9
11	11
12	9
13	0
14	6

The frequency table summarizes the 57 data values in a data set. What is the maximum data value in the data set?

Question 15 of 54 | Geometry · Level 3

One leg of a right triangle has a length of 43.2 millimeters. The hypotenuse of the triangle has a length of 196.8 millimeters. What is the length of the other leg of the triangle, in millimeters?

43.2

120

192

201.5

Question 16 of 54 | Algebra · Level 3

A wire with a length of 106 inches is cut into two parts. One part has a length of $x$ inches, and the other part has a length of $y$ inches. The value of $x$ is 6 more than 4 times the value of $y$. What is the value of $x$?

Question 17 of 54 | Advanced Math · Level 3

$f(x) = (x + 6)(x + 5)(x - 4)$
The function f is given. Which table of values represents $y = f(x) - 3$?

$x: -6, -5, 4 \rightarrow y: -9, -8, 1$

$x: -6, -5, 4 \rightarrow y: -3, -3, -3$

$x: -6, -5, 4 \rightarrow y: -3, -2, 7$

$x: -6, -5, 4 \rightarrow y: 3, 3, 3$

Question 18 of 54 | Ratios, Rates and Percentages · Level 3

A landscaper uses a hose that puts 88x ounces of water in a bucket in 5y minutes. Which expression represents the number of ounces of water the hose puts in the bucket in 9y minutes at this rate?

$\dfrac{9x}{440}$

$\dfrac{440x}{9}$

$\dfrac{5x}{792}$

$\dfrac{792x}{5}$

Question 19 of 54 | Algebra · Level 4

$4x - 9y = 9y + 5$, $hy = 2 + 4x$
In the given system of equations, $h$ is a constant. If the system has no solution, what is the value of $h$?

-9

Question 20 of 54 | Ratios, Rates and Percentages · Level 4

13 is $p$% of 25. What is the value of $p$?

Question 21 of 54 | Advanced Math · Level 4

$\sqrt{(x - 2)^2} = \sqrt{3x + 34}$
What is the smallest solution to the given equation?

Question 22 of 54 | Advanced Math · Level 4

Function f is defined by $f(x) = (x + 6)(x + 5)(x + 1)$. Function g is defined by $g(x) = f(x - 1)$. The graph of $y = g(x)$ in the xy-plane has x-intercepts at $(a, 0)$, $(b, 0)$, and $(c, 0)$, where $a$, $b$, and $c$ are distinct constants. What is the value of $a + b + c$?

-15

-9

Question 23 of 54 | Advanced Math · Level 4

For $x > 0$, the function f is defined as follows:
$f(x)$ equals 201% of $x$
Which of the following could describe this function?

Decreasing exponential

Decreasing linear

Increasing exponential

Increasing linear

Question 24 of 54 | Advanced Math · Level 5

$f(x) = 4x^2 + 64x + 262$
The function g is defined by $g(x) = f(x + 5)$. For what value of $x$ does $g(x)$ reach its minimum?

-13

-8

-5

-3

Question 25 of 54 | Algebra · Level 5

One gallon of stain will cover 170 square feet of a surface. A yard has a total fence area of $w$ square feet. Which equation represents the total amount of stain $S$, in gallons, needed to stain the fence in this yard twice?

$S = \dfrac{w}{170}$

$S = 170w$

$S = 340w$

$S = \dfrac{w}{85}$

Question 26 of 54 | Statistics · Level 5

Poll Results
Angel Cruz	483
Terry Smith	320

The table shows the results of a poll. A total of 803 voters selected at random were asked which candidate they would vote for in the upcoming election. According to the poll, if 6,424 people vote in the election, by how many votes would Angel Cruz be expected to win?

163

1,304

3,864

5,621

Question 27 of 54 | Geometry · Level 5

Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is 58 square centimeters $cm^2$, and the surface area of right rectangular prism Y is 1,450 $cm^2$. The volume of right rectangular prism Y is 1,250 cubic centimeters $cm^3$. What is the sum of the volumes, in $cm^3$, of right rectangular prism X and right rectangular prism Y?

Question 28 of 54 | Algebra · Level 1

$w + 7 = 357$
What value of w is the solution to the given equation?

350

364

3,577

Question 29 of 54 | Algebra · Level 1

Which expression is equivalent to $16(x + 15)$?

$16x + 31$

$16x + 240$

$16x + 1$

$16x + 15$

Question 30 of 54 | Probability · Level 1

	Live east of the river	Live west of the river	Total
Less than 40 years old	17	11	28
At least 40 years old	18	89	107
Total	35	100	135

The table summarizes members of a local organization by age and whether they live east or west of the river. If a member of the organization is selected at random, what is the probability that the selected member is at least 40 years old?

$\dfrac{28}{135}$

$\dfrac{35}{135}$

$\dfrac{100}{135}$

$\dfrac{107}{135}$

Question 31 of 54 | Algebra · Level 1

$3x = 12$, $-3x + y = -6$
The solution to the given system of equations is $(x, y)$. What is the value of $y$?

-3

Question 32 of 54 | Algebra · Level 2

A line in the xy-plane has a slope of 1/9 and passes through the point (0, 14). Which equation represents this line?

$y = -\left(\dfrac{1}{9}\right)x - 14$

$y = -\left(\dfrac{1}{9}\right)x + 14$

$y = \left(\dfrac{1}{9}\right)x - 14$

$y = \left(\dfrac{1}{9}\right)x + 14$

Question 33 of 54 | Geometry · Level 2

In the figure shown, line c intersects parallel lines s and t. What is the value of $x$?

$Question image$

Question 34 of 54 | Algebra · Level 2

$f(x) = x + \dfrac{8}{11}$
The function f is defined by the given equation. What is the value of $f(x)$ when $x = \dfrac{3}{11}$?

Question 35 of 54 | Algebra · Level 2

$x$	$y$
0	18
1	13
2	8

The table shows three values of $x$ and their corresponding values of $y$. There is a linear relationship between $x$ and $y$. Which of the following equations represents this relationship?

$y = 18x + 13$

$y = 18x + 18$

$y = -5x + 13$

$y = -5x + 18$

Question 36 of 54 | Algebra · Level 2

$x + 7 = 10$, $(x + 7)^2 = y$
Which ordered pair $(x, y)$ is a solution to the given system of equations?

$(3, 100)$

$(3, 3)$

$(3, 10)$

$(3, 70)$

Question 37 of 54 | Algebra · Level 3

The function f is defined by $f(x) = 7x - 84$. What is the x-intercept of the graph of $y = f(x)$ in the xy-plane?

$(-12, 0)$

$(-7, 0)$

$(7, 0)$

$(12, 0)$

Question 38 of 54 | Advanced Math · Level 3

Time (years)	Total amount (dollars)
0	604.00
1	606.42
2	608.84

Rosa opened a savings account at a bank. The table shows the exponential relationship between the time t, in years, since Rosa opened the account and the total amount n, in dollars, in the account. If Rosa made no additional deposits or withdrawals, which of the following equations best represents the relationship between t and n?

$n = (1 + 604)^t$

$n = (1 + 0.004)^t$

$n = 604(1 + 0.004)^t$

$n = 0.004(1 + 604)^t$

Question 39 of 54 | Algebra · Level 3

$w(t) = 300 - 4t$
The function w models the volume of liquid, in milliliters, in a container t seconds after it begins draining from a hole at the bottom. According to the model, what is the predicted volume, in milliliters, draining from the container each second?

300

296

Question 40 of 54 | Algebra · Level 3

$h(x) = x + b$
For the linear function h, $b$ is a constant and $h(0) = 45$. What is the value of $b$?

Question 41 of 54 | Advanced Math · Level 3

$z^2 + 10z - 24 = 0$
What is one of the solutions to the given equation?

Question 42 of 54 | Trigonometry · Level 3

Triangle FGH is similar to triangle JKL, where $\angle F$ corresponds to $\angle J$ and angles G and K are right angles. If $\sin(F) = \dfrac{308}{317}$, what is the value of $\sin(J)$?

$\dfrac{75}{317}$

$\dfrac{308}{317}$

$\dfrac{317}{308}$

$\dfrac{317}{75}$

Question 43 of 54 | Ratios, Rates and Percentages · Level 3

The population of Greenville increased by 7% from 2015 to 2016. If the 2016 population is $k$ times the 2015 population, what is the value of $k$?

0.07

0.7

1.07

1.7

Question 44 of 54 | Statistics · Level 3

Each of the dot plots shown represents the number of glue sticks brought in by each student for two classes, class A and class B. Which statement best compares the standard deviations of the numbers of glue sticks brought in by each student for these two classes?

$Question image$

The standard deviation of the number of glue sticks brought in by each student for class A is less than the standard deviation of the number of glue sticks brought in by each student for class B.

The standard deviation of the number of glue sticks brought in by each student for class A is equal to the standard deviation of the number of glue sticks brought in by each student for class B.

The standard deviation of the number of glue sticks brought in by each student for class A is greater than the standard deviation of the number of glue sticks brought in by each student for class B.

There is not enough information to compare these standard deviations.

Question 45 of 54 | Advanced Math · Level 3

$m(t) = -0.0274\left(\dfrac{t}{7}\right)^2 + 7.3873\left(\dfrac{t}{7}\right) + 75.032$
The function m gives the predicted body mass $m(t)$, in kilograms (kg), of a certain animal t days after it was born in a wildlife reserve, where $t \leq 390$. Which of the following is the best interpretation of the statement "$m(330)$ is approximately equal to 362" in this context?

The predicted body mass of the animal was approximately 330 kg 362 days after it was born.

The predicted body mass of the animal was approximately 362 kg 330 days after it was born.

The predicted body mass of the animal was approximately 362 kg 330/7 days after it was born.

The predicted body mass of the animal was approximately 330/7 kg 362 days after it was born.

Question 46 of 54 | Geometry · Level 4

Triangle XYZ is similar to triangle RST such that X, Y, and Z correspond to R, S, and T, respectively. The measure of $\angle Z$ is $20^{\circ}$ and $2XY = RS$. What is the measure of $\angle T$?

2 degree

10 degree

20 degree

40 degree

Question 47 of 54 | Advanced Math · Level 4

The function $f(t) = 60,000(2)^{\frac{t}{410}}$ gives the number of bacteria in a population $t$ minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?

Question 48 of 54 | Advanced Math · Level 4

The function f is defined by $f(x) = a^x + b$, where $a$ and $b$ are constants and $a > 0$. In the xy-plane, the graph of $y = f(x)$ has a y-intercept at $(0, -25)$ and passes through the point $(2, 23)$. What is the value of $a + b$?

Question 49 of 54 | Algebra · Level 4

$y > 13x - 18$
For which of the following tables are all the values of $x$ and their corresponding values of $y$ solutions to the given inequality?

$x: 3, 5, 8 \rightarrow y: 21, 47, 86$

$x: 3, 5, 8 \rightarrow y: 26, 42, 86$

$x: 3, 5, 8 \rightarrow y: 16, 42, 81$

$x: 3, 5, 8 \rightarrow y: 26, 52, 91$

Question 50 of 54 | Ratios, Rates and Percentages · Level 4

A certain town has an area of 4.36 square miles. What is the area, in square yards, of this town? (1 mile = 1,760 yards)

404

7,674

710,459

13,505,536

Question 51 of 54 | Geometry · Level 5

A square is inscribed in a circle. The radius of the circle is $\dfrac{20 \sqrt{2}}{2}$ inches. What is the side length, in inches, of the square?

$\dfrac{20 \sqrt{2}}{2}$

$20 \sqrt{2}$

Question 52 of 54 | Advanced Math · Level 5

Which expression is equivalent to $\dfrac{y + 12}{x - 8} + \dfrac{y(x - 8)}{x^2 y - 8xy}$?

$\dfrac{xy + y + 4}{x^3 y - 16x^2 y + 64xy}$

$\dfrac{xy + 9y + 12}{x^2 y - 8xy + x - 8}$

$\dfrac{xy^2 + 13xy - 8y}{x^2 y - 8xy}$

$\dfrac{xy^2 + 13xy - 8y}{x^3 y - 16x^2 y + 64xy}$

Question 53 of 54 | Advanced Math · Level 5

The function f is defined by $f(x) = a(2.2^x + 2.2^b)$, where $a$ and $b$ are integer constants and $0 < a < b$. The functions g and h are equivalent to function f, where $k$ and $m$ are constants. Which of the following equations displays the y-coordinate of the y-intercept of the graph of $y = f(x)$ in the xy-plane as a constant or coefficient?

I. $g(x) = a(2.2^x + k)$
II. $h(x) = a(2.2)^x + m$

I only

II only

I and II

Neither I nor II

Question 54 of 54 | Advanced Math · Level 5

$x(kx - 56) = -16$
In the given equation, $k$ is an integer constant. If the equation has no real solution, what is the least possible value of $k$?

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0	18
1	13
2	8

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