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    SAT Practice Test Sample Questions

    Try these free sample questions from the SAT Practice Test. Each one shows the correct answer and an explanation. The full practice tests covers: Reading and Writing, Math, Craft and Structure, Information and Ideas, Standard English Conventions, Expression of Ideas, Algebra, Advance Math, Problem-Solving and Data Analysis, Geometry and Trigonometry.

    Question 1

    What is the average (arithmetic mean) of 4x + 5, 7x-6,and -8x+2?

    1. x + 1
    2. x + 1/3
    3. 3x + 1
    4. 3x + 1/3
    5. 3x + 3 1/3

    Answer: x + 1/3

    Explanation: To find the average of three numbers—even if they’re alge- braic expressions—add them up and divide by 3. Thus, the average equals: Step 1: (4x+5) + (7x-6) + (-8x+2) 3 Step 2: 3x + 1 3 Step 3: x + 1/3

    Question 2

    In a classroom of 35 students, 14 are male. What percent of the classroom is male?

    1. 14%
    2. 20%
    3. 30%
    4. 40%
    5. 50%

    Answer: 40%

    Explanation: The solution is expressed as: Percent x Whole = Part. Step 1: Percent * 35 = 14. Step 2: Percent = 14/35. Step 3: .40 * 100 = 40%.

    Question 3

    If the area of a triangle is 24 and its base is 6, what is the length of the altitude to that base?

    1. 3
    2. 6
    3. 8
    4. 10
    5. unknown

    Answer: 8

    Explanation: The area of a triangle is equal to one-half the base times the height. Therefore: 24 = 1/2(6) * height Height = 24/3 Height = 8.

    Question 4

    Lenny's average score after 3 tests is 88. What score on the 4th test would bring Lenny's average up to exactly 90?

    1. 92
    2. 93
    3. 94
    4. 95
    5. 96

    Answer: 96

    Explanation: The best way to deal with changing averages is to use the sum. Use the old average to figure out the total of the first 3 scores: Sum of first 4 scores = (3)(88) = 264 Use the new average to figure out the total he needs after the 4th score: Sum of 4 scores (4)(90) = 360 To get his sum from 264 to 360, Lenny needs to score 360 - 264 = 96.

    Question 5

    A blender's rotation rate slows down the more liquid that is added to it. From empty, it goes at around 1,275 rotations per second. The slowdown rate is three rotations per second less than four times the liquid's square height (represented as h). Which of the following equations best represents the appliance's rotation rate B(h)?

    1. 3-4h2
    2. 1,275-(4-12h)
    3. 1,275-(12h-3)
    4. 1,275-(4h2-3)

    Answer: 1,275-(4h2-3)

    Explanation: 1,275 represents the starting rotation rate. That will have to be reflected, so you can remove Answer 1. A closer reading of the question will dismiss Answers 2 and 3. Answer 4 is the only one to reflect 1,275 as the starting rotation as well as the reduction in speed -- 3 less (-3) than four times the liquid's square height (4h2), or -3+4h2, which is the same as saying 4h2-3.

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