Full-length Linear (non adaptive) SAT Practice Test 2

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Full-length Linear SAT Practice Test 2

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Content:
  1. Full-length Linear SAT Practice Test 2 (non adaptive)
  2. Answer Sheet Full-length Linear SAT Practice Test 2
  3. Answer Explanations for Full-length Linear SAT Practice Test 2

Full-length Linear SAT Practice Test 2 (non adaptive)

Cuestionario

Reading and Writing - Module 1

39 minutes 33 questions

Directions: 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:

As Mexico’s first president from an Indigenous community, Benito Juarez became one of the most ______ figures in his country’s history: among the many significant accomplishments of his long tenure in office (1858–1872), Juarez consolidated the authority of the national government and advanced the rights of Indigenous peoples.

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

A) unpredictable
B) important
C) secretive
D) ordinary

Reading and Writing - Module 2:

39 minutes 33 questions

Directions: 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 Mule Bone, a 1930 play written by Zora Neale Hurston and Langston Hughes, is perhaps the best-known of the few examples of ______ in literature. Most writers prefer working alone, and given that working together cost Hurston and Hughes their friendship, it is not hard to see why.

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

A) characterization
B) interpretation
C) collaboration
D) commercialization

Math Test - Module 1

43 minutes 27 questions

DIRECTIONS: 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.

The number of degrees of arc in a circle is 360. The number of radians of arc in a circle is 2π. The sum of the measures in degrees of the angles of a triangle is 180.


Question 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?
A) 2012
B) 2013
C) 2014
D) 2015
Question 2: For a particular machine that produces beads, 29 out of every 100 beads it produces have a defect. A bead produced by the machine will be selected at random. What is the probability of selecting a bead that has a defect?
A) \(\frac{1}{2,900}\)
B) \(\frac{1}{29}\)
C) \(\frac{29}{100}\)
D) \(\frac{29}{10}\)

Question 3: In the figure, line m is parallel to line n, and line t intersects both lines. What is the value of x?
A) 33
B) 57
C) 123
D) 147

Question 4: What is the y-intercept of the graph shown?
A) (-8,0)
B) (-6,0)
C) (0,6)
D) (0,8)
Question 5: The total cost f(x), in dollars, to lease a car for 36 months from a particular car dealership is given by f(x) = 36x + 1,000, where x is the monthly payment, in dollars. What is the total cost to lease a car when the monthly payment is $400?
A) $13,400
B) $13,000
C) $15,400
D) $37,400
Question 6: Each side of a square has a length of 45. What is the perimeter of this square?
A) 90
B) 120
C) 160
D) 180
\(\frac{55}{x+6} = x\)
Question 7: What is the positive solution to the given equation?
A) 15
B) 20
C) 5
D) 10
Question 8: An object travels at a constant speed of 12 centimeters per second. At this speed, what is the time, in seconds, that it would take for the object to travel 108 centimeters?
A) 9
B) 96
C) 120
D) 972
Data set X: 5, 9, 9, 13
Data set Y: 5, 9, 9, 13, 27
Question 9: The lists give the values in data sets X and Y. Which statement correctly compares the mean of data set X and the mean of data set Y?
A) The mean of data set X is greater than the mean of data set Y
B) The mean of data set X is less than the mean of data set Y.
C) The means of data set X and data set Y are equal.
D) There is not enough information to compare the means.
Question 10: A rocket contained 467,000 kilograms (kg) of propellant before launch. Exactly 21 seconds after launch, 362,105 kg of this propellant remained. On average, approximately how much propellant, in kg, did the rocket burn each second after launch?
A) 4,995
B) 17,243
C) 39,481
D) 104,895
Question 11: If 4x + 2 = 12, what is the value of 16x + 8?
A) 40
B) 48
C) 56
D) 60
Question 12: An object is kicked from a platform. The equation h = -4.9t2 + 7t + 9 represents this situation, where h is the height of the object above the ground, in meters, t seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?
A) 0
B) 4.9
C) 7
D) 9
f(x) = 4x2 -50x + 126
Question 13:The given equation defines the function f. For what value of x does f(x) reach its minimum?
A) 25/4; 6.25
B) 25/2; 6.20
C) 4/25; 6.15
D) 2/25; 6.10
Question 14: A small business owner budgets $2,200 to purchase candles. The owner must purchase a minimum of 200 candles to maintain the discounted pricing. If the owner pays $4.90 per candle to purchase small candles and $11.60 per candle to purchase large candles, what is the maximum number of large candles the owner can purchase to stay within the budget and maintain the discounted pricing?
A) 182
B) 162
C) 180
D) 172
Question 15: In the linear function f, f(0) = 8 and f(1) = 12. Which equation defines f?
A) f(x) = 12x + 8
B) f(x) = 4
C) f(x) = 4x + 12
D) f(x) = 4x + 8
Question 16: The function f(w) = 6w2 gives the area of a rectangle, in square feet (ft2), 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 ft2
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 ft2.

Question 17: The circle shown has center O, circumference 144π, and diameters \(\overline{PR}\) and \(\overline{QS}\). The length of arc PS is twice the length of arc PQ. What is the length of arc QR?
A) 24π
B) 48π
C) 72π
D) 96π
Question 18: A company that provides whale-watching tours takes groups of 21 people at a time. The company’s revenue is 80 dollars per adult and 60 dollars per child. If the company’s revenue for one group consisting of adults and children was 1,440 dollars, how many people in the group were children?
A) 3
B) 9
C) 12
D) 18
Question 19: The function h is defined by h(x) = 4x + 28. The graph of y = h(x) in the xy-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 20: One of the factors of 2x3 + 42x2 + 208x is x + b, where b is a positive constant. What is the smallest possible value of b?
A) 16
B) 8
C) 18
D) 6
y = −1.5
y = x2 + 8x + a
Question 21: In the given system of equations, a is a positive constant. The system has exactly one distinct real solution. What is the value of a?
A) 14.5; 29/2
B) 15.5; 29/2
C) 13.5; 29/2
D) 16.5; 29/2
f(x) = (x + 6)(x + 5)(x − 4)
Question 22: The function f is given. Which table of values represents y = f(x) −3 ?
A)
B)
C)
D)
Question 23: For the function q, the value of q(x) decreases by 45% for every increase in the value of x by 1. If q(0) = 14, which equation defines q?
A) q(x) = 0.55(14)x
B) q(x) = 1.45(14)x
C) q(x) = 14(0.55)x
D) q(x) = 14(1.45)x

Question 24: The graph of y = f(x) + 14 is shown. Which equation defines function f?
A) \(f(x) = -\frac{1}{4}x - 12\)
B) \(f(x) = -\frac{1}{4}x + 16\)
C) \(f(x) = -\frac{1}{4}x + 2\)
D) \(f(x) = -\frac{1}{4}x - 14\)
RS = 20
ST = 48
TR = 52
Question 25: The side lengths of right triangle RST are given. Triangle RST is similar to triangle UVW, where S corresponds to V and T corresponds to W. What is the value of tan W?
A) 5/13
B) 5/12
C) 12/13
D) 12/5
Question 26: One gallon of paint will cover 220 square feet of a surface. A room has a total wall area of w square feet. Which equation represents the total amount of paint P, in gallons, needed to paint the walls of the room twice?
A) \(P = \frac{w}{110}\)
B) P = 440w
C) \(P = \frac{w}{220}\)
D) P = 220w
Question 27: The number a is 110% greater than the number b. The number b is 90% less than 47. What is the value of a?
A) 6.87
B) 7.87
C) 9.87
D) 8.87

Math Test - Module 2:

43 minutes 27 questions

DIRECTIONS: 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.

The number of degrees of arc in a circle is 360. The number of radians of arc in a circle is 2π. The sum of the measures in degrees of the angles of a triangle is 180.

Question 1: There are 55 students in Spanish club. A sample of the Spanish club students was selected at random and asked whether they intend to enroll in a new study program. Of those surveyed, 20% responded that they intend to enroll in the study program. Based on this survey, which of the following is the best estimate of the total number of Spanish club students who intend to enroll in the study program?
A) 11
B) 20
C) 44
D) 55
Question 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?
A) 3w + 5r = 14
B) \(\frac{1}{3}w + \frac{1}{5}r = 14\)
C) \(\frac{1}{3}w + \frac{1}{5}r = 112\)
D) 3w + 5r = 112
Question 3: 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?
A) y = 2.8 + 1.7x
B) y = 2.8 - 1.7x
C) y = -2.8 + 1.7x
D) y = -2.8 - 1.7x

Question 4: The graph of y = f(x) is shown in the xy-plane. What is the value of f(0) = 0?
A) -3
B) 0
C) 3/5
D) 3
Question 5: Which expression is equivalent to (m4q4z-1)(mq5z3), where m,q and z are positive?
A) m4q20z-3
B) m5q9z2
C) m6q8z-1
D) m20q12z-2
Question 6: 73, 74, 75, 77, 79, 82, 84, 85, 91 What is the median of the data shown?
A) 79
B) 69
C) 89
D) 99
x + 40 = 95
Question 7: What value of x is the solution to the given equation?
A) 44
B) 55
C) 66
D) 77
5x = 15
-4x + y = -2
Question 8: The solution to the given system of equations is (x,y). What is the value of x + y?
A) -17
B) -13
C) 13
D) 17
g(m) = −0.05m + 12.1
Question 9: The given function g models the number of gallons of gasoline that remains from a full gas tank in a car after driving m miles. According to the model, about how many gallons of gasoline are used to drive each mile?
A) 0.05
B) 12.1
C) 20
D) 242.0
\(\frac{1}{7b} = \frac{11x}{y}\)
Question 10: The given equation relates the positive numbers b, x, and y. Which equation correctly expresses x in terms of b and y?
A) \(x = \frac{7by}{11}\)
B) x = y − 77b
C) \(x = \frac{y}{77b}\)
D) x = 77by
y = 76
y = x2 - 5
Question 11: The graphs of the given equations in the xy-plane intersect at the point (x,y). What is a possible value of x?
A) \(-\frac{76}{5}\)
B) -9
C) 5
D) 76

y > 14
4x + y < 18

Question 12: The point (x, 53) is a solution to the system of inequalities in the xy-plane. Which of the following could be the value of x?

A) -9
B) -5
C) 5
D) 9
Question 13: Out of 300 seeds that were planted, 80% sprouted. How many of these seeds sprouted?
A) 200
B) 220
C) 240
D) 260
Question 14: The function f is defined by f(x) = 4x. For what value of x does f(x) = 8?
A) 2
B) 6
C) 10
D) 22
Question 15: Which expression is equivalent to \(\frac{8x(x-7)-3(x-7)}{2x-14}\) where x > 7?
A) \(\frac{x-7}{5}\)
B) \(\frac{8x-3}{2}\)
C) \(\frac{8x^2 - 3x - 14}{2x - 14}\)
D) \(\frac{8x^2 - 3x - 77}{2x - 14}\)
Question 16: Line p is defined by 2y + 18x = 9. Line r is perpendicular to line p in the xy-plane. What is the slope of line r?
A) -9
B) -1/9
C) 1/9
D) 9
f(t) = 8,000(0.65)t
Question 17: The given function f models the number of coupons a company sent to their customers at the end of each year, where t represents the number of years since the end of 1998, and 0 ≤ t ≤ 5. If y = f(t) is graphed in the ty-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?
A) The minimum estimated number of coupons the company sent to their customers during the 5 years was 1,428.
B) The minimum estimated number of coupons the company sent to their customers during the 5 years was 8,000.
C) The estimated number of coupons the company sent to their customers at the end of 1998 was 1,428.
D) The estimated number of coupons the company sent to their customers at the end of 1998 was 8,000.
Question 18: 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° and 2XY = RS. What is the measure of \(\angle\)T?
A) 2°
B) 10°
C) 20°
D) 40°
y = 6x + 18
Question 19: One of the equations in a system of two linear equations is given. The system has no solution. Which equation could be the second equation in the system?
A)-6x + y = 18
B) -6x + y = 22
C) -12x + y = 36
D) -12x + y = 18
Question 20: What is the area, in square centimeters, of a rectangle with a length of 34 centimeters (cm) and a width of 29 cm?
A) 986
B) 988
C) 984
D) 988
y = 4x + 1
4y = 15x - 8
Question 21: The solution to the given system of equations is (x,y). What is the value of x − y?
A) 15
B) 25
C) 35
D) 45
5x2 + 10x + 16 = 0
Question 22: How many distinct real solutions does the given equation have?
A) Exactly one
B) Exactly two
C) Infinitely many
D) Zero
Question 23: A certain park has an area of 11,863,808 square yards. What is the area, in square miles, of this park? (1 mile = 1,760 yards)
A) 1.96
B) 3.83
C) 3,444.39
D) 6,740.8
Question 24: Which of the following equations represents a circle in the xy-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) x2 + (y-9)2 = 16
Question 25: In triangles ABC and DEF, angles B and E each have measure 27° and angles C and F each have measure 41°. Which additional piece of information is sufficient to determine whether triangle ABC is congruent to triangle DEF?
A) The measure of angle A
B) The length of side AB
C) The lengths of sides BC and EF
D) No additional information is necessary.

Question 26: 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 27: 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?
A) 112
B) 111
C) 113
D) 114

Answer Sheet Full-length Linear SAT Practice Test 2

Reading and Writing Module 1 and 2

Module 1CorrectModule 2Correct
1B1C
2C2B
3C3D
4B4B
5D5C
6C6C
7B7A
8D8D
9D9B
10A10A
11A11B
12A12A
13A13C
14D14D
15C15C
16B16B
17B17B
18A18B
19A19C
20A20A
21B21D
22A22A
23C23C
24C24C
25C25A
26D26B
27C27A
28C28B
29B29D
30C30D
31C31A
32D32C
33D33B

Math Module 1 and 2

Module 1CorrectModule 2Correct
1C1A
2C2A
3D3A
4D4D
5C5B
6D6A
7C7B
8A8C
9B9A
10A10C
11B11B
12D12A
13A13C
14A14A
15D15B
16A16C
17B17D
18C18C
19A19B
20B20A
21A21C
22B22D
23C23B
24A24C
25B25C
26A26B
27C27C

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Answer Explanations for Full-length Linear SAT Practice Test 2

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