Wobridge Academy

SAT

Digital SAT Math Full Test 5A

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.

    1/4 × (x − 7) = 3. What value satisfies the equation?

    • A3
    • B7
    • C19
    • D28

Question group 22

  1. 2.

    If f(x) = 5x − 2, which expression is equivalent to f(x + 3)?

    • A5x + 1
    • B5x + 13
    • C5x + 15
    • D5x + 17

Question group 33

  1. 3.

    If 4b − 3 > 7, what is the greatest possible integer value of −2b + 4?

    • A−2
    • B−1
    • C0
    • D1

Question group 44

  1. 4.

    Which expression is equivalent to (x² + 6x + 9)/(x² + 7x + 12)?

    • A(6x + 9)/(7x + 12)
    • B(x + 4)/(x + 3)
    • C(x + 3)/(x + 4)
    • Dx + 3

Question group 55

  1. 5.If (x⁴y³)/(x²)² × y^m = 1, what is the value of m?

Question group 66

  1. 6.

    A certain type of floor tile covers an area of 7.75 square feet for every three tiles. How many tiles of this type are needed to cover an area of 186 square feet?

    • A24
    • B72
    • C186
    • D558

Question group 77

  1. 7.

    A square has a diagonal length of 12√2 inches. What is the area of the square in square inches?

    • A12
    • B24
    • C72
    • D144

Question group 88

  1. 8.(2y − (2y + 1))/(3y + 5) = (4y + (3 − 4y))/y. What is the value of y?

Question group 99

  1. 9.

    2y + x = 9 27 − 3x = 6y The system of equations shown has how many solutions?

    • A0
    • B1
    • C2
    • DInfinitely many

Question group 1010

  1. 10.

    An electrician charges a service call fee, plus an additional fee for every hour on the job. The graph shows the relationship between the hours worked and the total price of the job. Based on the graph, how much would the electrician charge for a job that takes 20 hours?

    • A$600
    • B$700
    • C$1,200
    • D$1,500

Question group 1111

  1. 11.

    The graph represents the change in price per share (in dollars) of a certain stock during two business weeks. If the coordinates of the maximum are (a, b) and the coordinates of the minimum are (c, d), what is the value of (d − b)/(c − a)?

    • A−17
    • B−19/3
    • C−17/3
    • D3

Question group 1212

  1. 12.

    Kush currently scores 400 on the SAT Math section. He sets a goal to improve this score by 1% each day. At this rate, approximately how many days will it take him to score an 800?

    • A40
    • B50
    • C60
    • D70

Question group 1313

  1. 13.The table gives values of f(x) and g(x), and h(x) = f(x)/g(x). For what value of x is h(x) undefined?

Question group 1414

  1. 14.

    The scatterplot shows planting time and crop yield. What is the approximate difference between the yield predicted by the line of best fit and the greatest outlier?

    • A10
    • B15
    • C20
    • D25

Question group 1515

  1. 15.

    Line a is parallel to line c. Which of the following statements is true?

    • Ax° + y° = 80°
    • Bx° + y° = 100°
    • Cx° = y°
    • Dx° + y° = 180°

Question group 1616

  1. 16.

    For the system of inequalities shown, what is the greatest possible value of x?

    • A2
    • B1
    • C0
    • D−1

Question group 1717

  1. 17.

    If 4 knives, 5 spoons, and 6 forks cost $7.90 and 2 knives, 2 spoons, and 5 forks cost $5.80, how much do 2 knives, 3 spoons, and 1 fork cost?

    • A$2.10
    • B$3.30
    • C$4.70
    • D$5.80

Question group 1818

  1. 18.

    If x ≠ 3, which of the following is equivalent to 1 / (1/(x − 3) + 1/(y + 5))?

    • A((x − 3)(y + 5))/(x + y + 2)
    • B(x + y + 2)/((x − 3)(y + 5))
    • C((x + 3)(y − 5))/(x + y + 2)
    • D(5x − 3y)/(x + y + 2)

Question group 1919

  1. 19.

    The range of the parabola shown in the graph above is y ≥ −4. If y = ax² + bx + c is used to represent the graph, what is the value of a?

    • A1/3
    • B2/3
    • C3/2
    • D3

Question group 2020

  1. 20.A thrift store prices a piece of used furniture at $100. The price is marked down an additional p percent every month until it is sold. If the piece of furniture is sold for $64 after two months, what is p?

Question group 2121

  1. 21.

    The graph shows restaurant wait times on Friday and Saturday. On average, how many minutes longer are people willing to wait on Saturday than on Friday?

    • A1.3
    • B11.3
    • C34
    • D68

Question group 2222

  1. 22.The figure shows a rodeo arena divided into 12 equal sections, 4 of which contain bulls. If 64 + 16π/3 yards are needed to reinforce all the edges of the 4 bull sections, what is the radius, in yards, of the arena?

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.

    A "pick your own" strawberry farm charges each customer a $10 entry fee, plus $3 per pound of strawberries picked. Which function describes a customer’s total cost in dollars, c, as a function of the number of pounds picked, p?

    • Ac(p) = 3p
    • Bc(p) = 3p + 10
    • Cc(p) = 10p + 3
    • Dc(p) = 10p

Question group 224

  1. 24.

    If 11x − 22 = 4(x − 2), what is the value of 2x?

    • A2
    • B20/7
    • C4
    • D40/7

Question group 325

  1. 25.

    An Internet service charges an initial membership fee plus a fixed monthly cost, as shown in the graph. What is the fixed cost per month, in dollars?

    • A10
    • B20
    • C30
    • D50

Question group 426

  1. 26.

    Which of the following is the equation of the line shown?

    • Ay = x + 2
    • By = (1/2)x
    • Cy = (1/2)x + 2
    • Dy = 2x + 2

Question group 527

  1. 27.The graph of y = x² − x − 2 is shown. What is the sum of the x-intercepts?

Question group 628

  1. 28.

    If x − y = 6, what is the value of x² − 2xy + y²?

    • A0
    • B6
    • C24
    • D36

Question group 729

  1. 29.

    If ∛x = 8, what is the value of x?

    • A2
    • B8/3
    • C24
    • D512

Question group 830

  1. 30.A delivery van travels at 30 miles per hour for 8 hours per day for 6 days. How many miles does it travel?

Question group 931

  1. 31.

    A puppy’s mass increases by 35% each month. If its initial mass is 10 pounds, approximately what is its mass after 4 months?

    • A13.5
    • B24
    • C33
    • D150

Question group 1032

  1. 32.

    In the figure, C is the center of the circle, angle B is 37°, and the hypotenuse is 15. Which expression gives the radius of the circle?

    • A15 sin 37°
    • B15 tan 37°
    • C15 cos 37°
    • D15 tan 53°

Question group 1133

  1. 33.

    A rectangle has width 2a and length 3.5 times its width. What is the perimeter of the rectangle?

    • A5.5a
    • B9a
    • C11a
    • D18a

Question group 1234

  1. 34.

    For the relationship shown in the source question, which of the following values is correct?

    • A1/4
    • B1/2
    • C2
    • D4

Question group 1335

  1. 35.−4x + 46 ≤ x − 4. What is the minimum possible value of x?

Question group 1436

  1. 36.

    A larva’s mass increases at a constant rate. If its mass is 14 grams after 48 hours and the source graph/model begins at 10 grams, what was its mass, in grams, at t = 6 hours?

    • A10.5
    • B12.5
    • C13
    • D14

Question group 1537

  1. 37.

    |3x − 6| = 2x. What is the product of the solutions to the equation shown?

    • A6
    • B36/5
    • C6/5
    • D36

Question group 1638

  1. 38.

    2x² + 16x + 2 = 0. Which of the following represents the solution(s) for x?

    • A±5√3 − 15
    • B√15 − 8
    • C3√5 − 8
    • D−4 ± √15

Question group 1739

  1. 39.

    The scatterplot shows BMI and LDL values for 12 observations. How many observations have an absolute residual of at least 10?

    • A1
    • B2
    • C3
    • D4

Question group 1840

  1. 40.The figure shows Max’s route between work and home. Based on the distances shown, how many gallons of fuel are saved by the expressway route at 20 miles per gallon?

Question group 1941

  1. 41.

    Which of the following is equivalent to (3x² + 5x − 7)/(x + 1)?

    • A3x + 5
    • B3x + 7
    • C3x + 1 + 2/(x + 1)
    • D3x + 2 − 9/(x + 1)

Question group 2042

  1. 42.

    2x² − x − 15 = 0. Which of the following is a possible value of x?

    • A3
    • B5/2
    • C−2/5
    • D−3

Question group 2143

  1. 43.

    Which of the following functions correctly models the data in the table?

    • Af(x) = 2x² − 1
    • Bf(x) = 2x³ − 1
    • Cf(x) = 2^(2x − 1)
    • Df(x) = 2^(x − 1)

Question group 2244

  1. 44.The triangles shown are similar. The ratio of the perimeter of the larger triangle to the smaller triangle is 7:4. What is the perimeter of the smaller triangle?