# Resuelve el examen PSAT/NMSQT Practice Test 1 en línea

¿Te estás preparando para el ** examen de simulación PSAT**? Como un paso crucial antes del SAT, obtener un excelente resultado en esta prueba puede tener un impacto significativo en tu proceso de admisión universitaria.

**Resuelve el PSAT/NMSQT Practice Test 1 en línea**para asegurarte de que estás listo.

Dominar este examen no se trata solo de memorizar información, sino de preparar una estrategia sólida y practicar mucho. Aquí es donde entra en juego la Prueba de Práctica PSAT/NMSQT 1.

**Conoce todo sobre el examen PSAT/NMSQT AQUÍ!**

## Resuelve el PSAT/NMSQT Practice Test 1 en línea

En este artículo, profundizaremos en la importancia del *PSAT/NMSQT*, exploraremos los beneficios de practicar con el PSAT/NMSQT Practice Test 1 en línea, y te orientaremos sobre cómo acceder y dominar esta herramienta esencial en línea.

### Reading and Writing Module 1:

**33 questions**

The questions in this section address a number of important reading and writing skills. Each question includes one or more passages, which may include a table or graph. Read each passage and question carefully, and then choose the best answer to the question based on the passage(s). All questions in this section are multiple-choice with four answer choices. Each question has a single best answer.

**Question 1: The following text is adapted from Amy Lowell’s 1912 poem “Summer.”**

It is summer, glorious, deep-toned summer,

The very crown of nature’s changing year

When all her surging life is at its full.

To me alone it is a time of pause,A voidand silent space between two worlds,

When inspiration lags, and feeling sleeps,

Gathering strength for efforts yet to come.

**As used in the text, what does the phrase “a void” most nearly mean?**

### Reading and Writing Test Module 2:

**33 questions**

The questions in this section address a number of important reading and writing skills. Each question includes one or more passages, which may include a table or graph. Read each passage and question carefully, and then choose the best answer to the question based on the passage(s). All questions in this section are multiple-choice with four answer choices. Each question has a single best answer.

**Question 1:**Archaeologists studying an ancient amphitheater in Switzerland believe that it dates back to the fourth century CE. Their discoveries of a coin made between 337 and 341 CE and era-appropriate building materials _______ evidence for this theory.

**Which choice completes the text with the most logical and precise word or phrase?**

### Math Test Module 1

**27 questions**

The questions in this section address a number of important math skills. Use of a calculator is permitted for all questions.

**NOTES:** Unless otherwise indicated:

- All variables and expressions represent real numbers.
- Figures provided are drawn to scale.
- All figures lie in a plane.
- The domain of a given function fis the set of all real numbers x for which f(x) is a real number.

**Question 1:**How many

__teaspoons__are equivalent to 44 tablespoons? (3 teaspoons = 1 tablespoon)

**Question 2:**The function f is defined by \(f(x) = \frac{1}{6}x\). What is the value of f(x) when x = 3?

**Question 3:**If x = 40, what is the value of x + 6 ?

**Question 4:**What is 23% of 100?

**Question 5:**Which expression is equivalent to 50x

^{2}+ 5x

^{2}?

**Question 6:**The population density of Cedar County is 230 people per square mile. The county has a population of 85,100 people. What is the area, in square miles, of Cedar County?

**Question 7:**\(\frac{-54}{x} = 6\)

What is the solution to the given equation?

**Question 8:**For the function f, the graph of y = f(x) in the xy-plane has a slope of 3 and passes through the point (0,−8). Which equation defines f ?

**Question 9**: The triangle shown has a perimeter of 22 units. If x = 9 units and y = 7 units, what is the value of z, in units?

**Question 10**: The function h is defined by h(x) = 3x -7. What is the value of h(-2)?

**Question 11:**In the triangle shown, what is the value of tan x° ?

**Question 12**: The scatterplot shows the relationship between x and y. A line of best fit is also shown.

**Which of the following is closest to the slope of the line of best fit shown?**

**Question 13:**The y-intercept of the graph of 12x + 2y = 18 in the xy-plane is (0, y). What is the value of y?

**Question 14:**

A model predicts that a certain animal weighed 241 pounds when it was born and that the animal gained 3 pounds per day in its first year of life. This model is defined by an equation in the form f(x) = a + bx, where f(x) is the predicted weight, in pounds, of the animal x days after it was born, and a and b are constants. What is the value of a ?

**Question 15:**

The graph shows the height above ground, in meters, of a ball x seconds after the ball was launched upward from a platform. Which statement is the best interpretation of the marked point (1.0,4.8) in this context?

**Question 16:**

Based on a random sample from a population, a researcher estimated that the mean value of a certain variable for the population is 20.5, with an associated margin of error of 1. Which of the following is the most appropriate conclusion?

**Question 17:**

**7m = 5(n + p)**

The given equation relates the positive numbers m, n, and p. Which equation correctly gives n in terms of m and p ?

**Question 18:**

A rectangle has a length that is 15 times its width. The function y = (15w)(w) represents this situation, where y is the area, in square feet, of the rectangle and y > 0. Which of the following is the best interpretation of 15w in this context?

**x + 2y = 6**

**x - 2y = 4**

**Question 19**: The solution to the given system of equations is (x, y). What is the value of x ?

**Question 20:**What is the minimum value of the data set?

**Question 21:**A number x is at most 17 less than 5 times the value of y. If the value of y is 3, what is the greatest possible value of x ?

**5x**

^{2}- 37x - 24 = 0**Question 22:**What is the positive solution to the given equation?

**Question 23:**In the figure shown, lines r and s are parallel, and line m intersects both lines. If y < 65, which of the following must be true?

**Question 24:**In the given function f, a is a constant. The graph of function f in the xy-plane, where y = f(x), is translated 3 units down and 4 units to the right to produce the graph of y = g(x). Which equation defines function g ?

**Question 25:**

A machine launches a softball from ground level. The softball reaches a maximum height of 51.84 meters above the ground at 1.8 seconds and hits the ground at 3.6 seconds. Which equation represents the height above ground h, in meters, of the softball t seconds after it is launched?

**Question 26:**In triangle ABC, the measure of angle B is 90° and \(\overline{BD}\) is an altitude of the triangle. The length of \(\overline{AB}\) is 15 and the length of \(\overline{AC}\) is 23 greater than the length of \(\overline{AB}\). What is the value of \(\frac{BC}{BD}\)

**f(x) = (x + 7)**

^{2}+ 4**Question 27:**The function f is defined by the given equation. For what value of x does f(x) reach its minimum?

### Math Test Module 2

**27 questions**

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions.

**NOTES:** Unless otherwise indicated:

- All variables and expressions represent real numbers.
- Figures provided are drawn to scale.
- All figures lie in a plane.
- The domain of a given function f is the set of all real numbers x for which f(x) is a real number.

**Question 1**: The box plot summarizes 15 data values. What is the median of this data set?

**Question 2: What is the x-intercept of the graph shown?**

**Question 3:**Henry receives a $60.00 gift card to pay for movies online. He uses his gift card to buy 3 movies for $7.50 each. If he spends the rest of his gift card balance on renting movies for $1.50 each, how many movies can Henry rent?

**x = 49**

\(y = \sqrt{x} + 9\)

**Question 4:**The graphs of the given equations intersect at the point (x,y) in the xy-plane. What is the value of y ?

**Question 5:**A cherry pitting machine pits 12 pounds of cherries in 3 minutes. At this rate, how many minutes does it take the machine to pit 96 pounds of cherries?

**Question 6: If 2x = 12, what is the value of 9x?**

**Question 7:**Line k is defined by \(y = \frac{1}{4}x + 1\). Line j is parallel to the line k in the xy-plane. What is the slope of j ?

**6,6,8,8,8,10,21**

**Question 8:**Which of the following lists represents a data set that has the same median as the data set shown?

**Question 9:**The length of the base of a certain parallelogram is 89% of the height of the parallelogram. Which expression represents the length of the base of the parallelogram, where h is the height of the parallelogram?

**Question 10:**For a camping trip a group bought x one-liter bottles of water and y three-liter bottles of water, for a total of 240 liters of water. Which equation represents this situation?

**y = -4x + 40**

**Question 11:**Which table gives three values of x and their corresponding values of y for the given equation?

**Question 12:**The shaded region shown represents solutions to an inequality. Which ordered pair (x, y) is a solution to this inequality?

**Question 13:**In triangle JKL, the measures of \(\angle\)K and \(\angle\)L are each 48°. What is the measure of \(\angle\)J, in degrees? (Disregard the degree symbol when entering your answer.)

**y = x**

^{2}+ 14x + 48**x + 8 = 11**

**Question 14:**The solution to the given system of equations is (x, y). What is the value of y ?

**Question 15:**A cleaning service that cleans both offices and homes can clean at most 14 places per day. Which inequality represents this situation, where f is the number of offices and h is the number of homes?

**Question 16:**Which expression is a factor of 2x

^{2}+ 38x + 10?

**Question 17:**The equation 40x + 20y = 160 represents the number of sweaters, x, and number of shirts, y, that Yesenia purchased for $160. If Yesenia purchased 2 sweaters, how many shirts did she purchase?

**y = 0.25x**

^{2}- 7.5x + 90.25**Question 18:**The equation gives the estimated stock price y, in dollars, for a certain company x days after a new product launched, where \(0 \leq x \leq 20\). Which statement is the best interpretation of (x, y) = (1, 83) in this context?

**f(x) = 39**

**Question 19:**For the given linear function f, which table gives three values of x and their corresponding values of f(x)?

**Question 20:**A triangular prism has a height of 8 centimeters (cm) and a volume of 216 cm

^{3}. What is the area, in cm

^{2}, of the base of the prism? (The volume of a triangular prism is equal to Bh, where B is the area of the base and h is the height of the prism.)

**Question 21:**The graph shows the momentum y, in newton-seconds, of an object x seconds after the object started moving, for \(0 \leq x \leq 8\). What is the average rate of change, in newton‑seconds per second, in the momentum of the object from x = 2 to x = 6 ?

**-15x + 25y = 65**

**Question 22:**One of the two equations in a system of linear equations is given. The system has infinitely many solutions. Which of the following could be the second equation in the system?

**Question 23:**A bus traveled on the highway and on local roads to complete a trip of 160 miles. The trip took 4 hours. The bus traveled at an average speed of 55 miles per hour (mph) on the highway and an average speed of 25 mph on local roads. If x is the time, in hours, the bus traveled on the highway and y is the time, in hours, it traveled on local roads, which system of equations represents this situation?

**Question 24:**Quadrilateral P′Q′R′S′ is similar to quadrilateral PQRS, where P, Q, R, and S correspond to P′, Q′, R′, and S′, respectively. The measure of angle P is 30°, the measure of angle Q is 50°, and the measure of angle R is 70°. The length of each side of P′Q′R′S′ is 3 times the length of each corresponding side of PQRS. What is the measure of angle P′ ?

**f(x) = 2x + 244**

**Question 25:**The given function f represents the perimeter, in centimeters (cm), of a rectangle with a length of x cm and a fixed width. What is the width, in cm, of the rectangle?

**Question 26:**The functions f and g are defined by the given equations, where x ≥ 0. Which of the following equations displays, as a constant or coefficient, the maximum value of the function it defines, where x ≥ 0 ?

I. f(x) = 33(0.4)

^{x+3}

II. g(x) = 33(0.16)(0.4)

^{x-2}

**64x**

^{2}- (16a + 4b)x + ab = 0**Question 27:**In the given equation, a and b are positive constants. The sum of the solutions to the given equation is k(4a + b), where k is a constant. What is the value of k ?

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## Respuestas explicadas del PSAT/NMSQT Practice Test 1

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