Wobridge Academy

SAT

Digital SAT Math Full Test 2

70 min · 2 sections · 44 questions

Practise
Section

Module 1

Math · 35 min · 22 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 unless stated otherwise. - 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. For multiple-choice questions, solve each problem and choose the correct answer from the choices provided. Each multiple-choice question has a single correct answer. For student-produced response questions, solve each problem and enter your answer in the box. If a question has more than one correct answer, enter only one of them.

Question group 11

  1. 1.

    If x = 5, what is 3(x + 2) − 2x?

    • A5
    • B9
    • C11
    • D13

Question group 22

  1. 2.

    − 3 ( 𝑥 2 − 2 𝑥 + 4 ) is equivalent to which of the following expressions?

    • A− 3 𝑥 2 − 6 𝑥 + 1 2
    • B− 3 𝑥 2 − 6 𝑥 − 1 2
    • C− 3 𝑥 2 − 6 𝑥 + 1 2
    • D− 3 𝑥 2 + 6 𝑥 − 1 2

Question group 33

  1. 3.

    The table above presents the percentage of students in a class with particular letter grades. What letter grade is the median grade for the class?

    • AA
    • BB
    • CC
    • DD

Question group 44

  1. 4.

    What is the slope of the line in the above graph in the xy-coordinate plane?

    • A− 1 3 4
    • B− 1 0 1 3
    • C− 1 3
    • D7 4

Question group 55

  1. 5.

    What is the product of the solutions to the equation 0 = ( 𝑥 + 1 4 ) ( 𝑥 − 2 3 ) ?

    • A− 1 1 2
    • B− 1 6
    • C1 4
    • D5 1 2

Question group 66

  1. 6.

    At a certain college, 27% of all students majored in science or mathematics. If there were a total of 4,000 students at the college, how many of the students would have a science or mathematics major?

    • A1,080
    • B2,920
    • C14,815
    • D108,000

Question group 77

  1. 7.

    Mark consistently sleeps for 8 hours per day. Which expression gives the number of hours that Mark would sleep in W weeks?

    • A56 × W
    • B8 × W
    • C8 + W
    • D56 + W

Question group 88

  1. 8.

    If 𝑥 3 = 2 7 8 what is the value of x?

    • A1 3
    • B3 4
    • C3 2
    • D9 4

Question group 99

  1. 9.B = 2P + 3E A bagel store charges $2 for each plain bagel, P, and $3 for each everything bagel, E. The equation above represents the total amount, B, that Samantha paid for a box of bagels. If the box cost a total of $40 and Samantha purchased 4 everything bagels, how many plain bagels did she purchase?

Question group 1010

  1. 10.

    A circle with an original area of 16π units increases in area by 56.25%. What is the radius of the new circle?

    • A5 units
    • B6 units
    • C10 units
    • D25 units

Question group 1111

  1. 11.3x-4y=-2 x+y=11 Given that (x, y) is a solution to the above system of equations, what is the value of x?

Question group 1212

  1. 12.

    If the city of Detroit has a population of 4,900 persons per square mile, and there are 139 square miles of land within the city, what would most closely approximate the total population of the city?

    • A35,000
    • B47,000
    • C681,000
    • D1,240,000

Question group 1313

  1. 13.If 𝑥 2 − 4 3 and x − 2 = 3, what is the value of x + 2?

Question group 1414

  1. 14.

    The height in inches and weight in pounds for several female orangutans is graphed in the scatterplot above. Based on the data in the graph, which of these statements best summarizes the overall trend in the data?

    • AThe greater the height of the orangutan, the greater the weight.
    • BThe lower the height of the orangutan, the greater the weight
    • CThe greater the height of the orangutan, the lower the weight.
    • DThe height and the weight of the orangutan are equivalent throughout the set of data.

Question group 1515

  1. 15.

    A cylindrical tank has base with a diameter of 10 feet and a volume of 300π cubic feet. What is the height of this tank in feet?

    • A8
    • B10
    • C12
    • D16

Question group 1616

  1. 16.

    If the function 𝑓 ( 𝑥 ) = 𝑥 2 + 3 2 𝑥 when x ≠ 0, what is the value of f(6)?

    • A− 7 3
    • B2 9
    • C1
    • D7 4

Question group 1717

  1. 17.

    After a presidential debate, viewers could go to an online poll and vote for which of the two candidates they thought won the debate. Approximately 2,500 viewers chose to fill out responses. Would the results from the online poll provide an accurate representation of opinions of all likely voters as to whom they thought won the debate?

    • AYes, because the sample of viewers was random.
    • BYes, because the number of respondents was sufficiently large.
    • CNo, because the respondents were self-selected instead of randomly selected.
    • DNo, because the number of respondents was insufficient.

Question group 1818

  1. 18.The relationship between the values in the table above can be expressed as the function y = kx, in which k is a constant value. What is the value of k?

Question group 1919

  1. 19.

    In the xy-plane, which of these equations would represent the graph of 𝑦 = 𝑥 2 − 4 shifted upward five units?

    • A𝑦 = 𝑥 2 − 5
    • B𝑦 = 𝑥 2 − 1
    • C𝑦 = 𝑥 2 + 1
    • D𝑦 = 5 𝑥 2 − 4

Question group 2020

  1. 20.

    y ≥ x + n When the ordered pair (2, 5) is a solution for (x, y) in the inequality above, what is the greatest possible value for n?

    • A3
    • B5
    • C8
    • D12

Question group 2121

  1. 21.

    If a randomly selected patient who participated in the study with the results given above has a positive test result (i.e., the test indicates that someone has an illness), what is the probability that the result is a false positive?

    • A0.5
    • B0.8
    • C0.9
    • D1.2

Question group 2222

  1. 22.

    Triangles ABC and DEF both have sides of length 6 and 7 as shown above. Which of the following would, if true, be sufficient to prove that the triangles are congruent?

    • AThat angle BAC equals angle DEF
    • BThat angle CBA equals angle EDF
    • CThat angle BAC equals angle DFE
    • DThat angle ABC equals angle FED

Module 2

Math · 35 min · 22 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 unless stated otherwise. - 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. For multiple-choice questions, solve each problem and choose the correct answer from the choices provided. Each multiple-choice question has a single correct answer. For student-produced response questions, solve each problem and enter your answer in the box. If a question has more than one correct answer, enter only one of them.

Question group 123

  1. 23.

    If 5x + 2 = 4(x − 3), what is the value of x?

    • A− 14
    • B-11
    • C-7
    • D3

Question group 224

  1. 24.

    Tyrese takes a walk around his neighborhood. The distance he is in miles from his house at a particular number of minutes after beginning his walk is represented in the graph above. At what interval of time in his walk did the distance he is from his house decrease most rapidly?

    • A0–5 minutes
    • B15–20 minutes
    • C25–30 minutes
    • D30–35 minutes

Question group 325

  1. 25.If 1 3 ( 𝑥 − 2 ) = 𝑦 and x = 5, what is the value of y?

Question group 426

  1. 26.

    If a line has a slope of 5 and a y-intercept of k, what is the value of k if the points (1, 8) and (3, 18) are in the line?

    • A3
    • B5
    • C9
    • D24

Question group 527

  1. 27.

    𝑥 2 − 9 𝑥 − 3 Which of the following is equivalent to the above expression, in which x ≠ 3?

    • A𝑥 2 − 2
    • B𝑥 3 − 1
    • Cx-9
    • Dx+3

Question group 628

  1. 28.How many units is the perimeter of the above trapezoid?

Question group 729

  1. 29.

    A fruit stand charges a different amount depending on the number of pieces of fruit in a box: What function could be used to determine the total cost, C, of a box that has x pieces of fruit?

    • AC(x) = − x + 2.40
    • BC(x) = 2x + 1.40
    • CC(x) = 1.4x + 3
    • DC(x) = 2.8x + 1

Question group 830

  1. 30.

    Kinetic energy, K, is calculated using the following formula, in which m = mass, and v = velocity 𝐾 = 1 2 𝑚 𝑣 2 What is the velocity in terms of the other variables?

    • A𝑣 = 2 𝐾 𝑚
    • B𝑣 = √ 2 𝐾 𝑚
    • C𝑣 = √ 2 𝑚 𝐾
    • D𝑣 = 2 𝑚 2 √ 𝐾

Question group 931

  1. 31.

    A data set of 15 different numbers has a median of 25 and a mean of 30. If the smallest member of the set has 5 subtracted from it and the largest member has 20 added to it, while all the other elements remain the same, which of these is a correct statement?

    • AThe standard deviation of the set changes more than the range of the set
    • BThe range of the set changes more than the standard deviation of the set.
    • CThe range of the set remains the same
    • DThe standard deviation of the set remains the same

Question group 1032

  1. 32.

    Consider the sum of the expressions − 𝑥 2 + 4 𝑥 − 3 and 5 𝑥 2 − 2 𝑥 + 8 . If the sum is written in the form 𝑔 𝑥 2 + ℎ 𝑥 + 𝑘 , where g, h, and k are constants, what is the value of k?

    • A1
    • B3
    • C4
    • D5

Question group 1133

  1. 33.In the xy-plane, a line passes through the points (5, 0) and (0, 3). Another line is perpendicular to this line. What would be this perpendicular line’s slope?

Question group 1234

  1. 34.

    Triangle EFG is equilateral. If ̅ ̅ ̅ ̅ ̅ ̅ ̅ ̅ ̅ ̅ ̅ ̅ ̅ ̅ 𝐸 𝐹 is 10 units long, and ∠EFZ is 30°, what is the length of ̅ ̅ ̅ ̅ ̅ ̅ ̅ ̅ ̅ ̅ ̅ ̅ ̅ ̅ 𝐹 𝑍 ?

    • A5 √ 3
    • B5 √ 2
    • C10
    • D1 0 √ 2

Question group 1335

  1. 35.

    A particular multivitamin provides 300 mg of calcium, giving 23% of the recommended daily value of calcium for an adult. If another multivitamin provides 210 mg of calcium, approximately what percentage of a recommended daily value of calcium for an adult would it provide, to the nearest whole percent?

    • A8%
    • B16%
    • C20%
    • D44%

Question group 1436

  1. 36.The measure of an angle is 2 3 π radians. How many angles of this measure would be equivalent to 360 degrees?

Question group 1537

  1. 37.

    For the system of inequalities y ≤ x + 2 and y ≤ − x + 4, when y is at its greatest possible value, what is the corresponding value of x?

    • A-6
    • B-2
    • C1
    • D4

Question group 1638

  1. 38.

    Which function expresses the relationship between x and y?

    • A𝑦 = 2 𝑥 2
    • B𝑦 = 4 𝑥 2
    • C𝑦 = 1 2 𝑥 2
    • D𝑦 = 1 6 𝑥 3

Question group 1739

  1. 39.

    What is the result when 4 𝑥 2 − 3 𝑥 + 2 is divided by x − 3?

    • A4x-9
    • B1 2 𝑥 2 + 9
    • C2 𝑥 − 3 + 1 𝑥 − 3
    • D4 𝑥 + 9 + 2 9 𝑥 − 3

Question group 1840

  1. 40.

    𝑦 = 𝑥 ( 𝑥 − 4 ) 2 ( 𝑥 + 3 ) 2 In the above equation, how many unique x-intercepts does the graph of the function have?

    • A0
    • B1
    • C3
    • D5

Question group 1941

  1. 41.

    Consider the information in the table above with the variables representing numerical values. There are twice as many elementary school students as there are middle school students, and 60% of elementary school students take the bus. How many middle school students walk to school?

    • A20
    • B30
    • C40
    • D60

Question group 2042

  1. 42.

    What values of x would make the product of 2 𝑥 and 3 𝑥 − 1 undefined?

    • A0 only
    • B− 1 only
    • C0 and 1 only
    • D− 1 and 0 only

Question group 2143

  1. 43.For a parabola with the equation y = 7(x − 5)(x + 2), what is the distance between the x intercepts of the parabola?

Question group 2244

  1. 44.If ( 𝑥 + 5 ) ( 𝑥 + 3 ) = 𝑎 𝑥 2 + 𝑏 𝑥 + 𝑐 , in which a, b, and c are all constants, what is the value of c?