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SAT Math Practice Worksheets & Answer Key

Download an 8-question SAT Math worksheet with a separate answer and explanation section. The selected text questions work without a screen or an account.

Version 2026-10-27 · Original foundation materials · No sign-up

What this collection covers

Math foundations.

This fixed sample includes one question per selected skill before additional families. Questions requiring a separate diagram are excluded from this text worksheet. It is an untimed study resource with working space, rather than an official mock examination.

Author-reviewed learning materials. Independent educator review is pending; question difficulty has not been calibrated with learner results. Check coverage and gaps before planning your preparation.

Inside the printable worksheet

8 original questionsSeparate explanationsUS Letter · PDF · Version 2026-10-27

Print the question section first. Keep the answer section separate until you have written your method or reason. Use the linked lessons to review a missed idea, then start a new set in the practice tool.

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Questions included in this PDF

QUESTION 1 · Linear equations

If 3x + 4 = 19, what is the value of x?

  1. 19/3
  2. 23/3
  3. 5
  4. 5/3
Read the answer and explanation

Answer: 5

  1. Subtract 4 from both sides: 3x = 15.
  2. Divide both sides by 3: x = 5.
  3. Check: 3(5) + 4 = 19.
Review the lesson
QUESTION 2 · Exponents & expressions

For x > 0, x^4 · x^5 = x^n. What is n?

    Read the answer and explanation

    Answer: 9

    1. The bases are the same and the powers are multiplied.
    2. Add the exponents rather than multiplying them.
    3. n = 4 + 5 = 9.
    Review the lesson
    QUESTION 3 · Ratios & units

    A cyclist travels 36 kilometers in 3 hour(s) at a constant speed. How many kilometers will the cyclist travel in 5 hours?

    1. 5
    2. 12
    3. 60
    4. 36
    Read the answer and explanation

    Answer: 60

    1. The speed is 36/3 = 12 kilometers per hour.
    2. Multiply the rate by 5 hours.
    3. The distance is 60 kilometers.
    Review the lesson
    QUESTION 4 · Geometry essentials

    Two similar rectangles have a side-length ratio of 1:6. The smaller has area 7. What is the area of the larger?

      Read the answer and explanation

      Answer: 252

      1. The length scale factor is 6.
      2. The area factor is its square, 36.
      3. The larger area is 7 × 36 = 252.
      Review the lesson
      QUESTION 5 · Lines & slope

      A line has slope 7 and passes through (2, 22). What is its y-intercept?

      1. -8
      2. 4
      3. 8
      4. 36
      Read the answer and explanation

      Answer: 8

      1. Use y = mx + b.
      2. Substitute the known point: 22 = 7(2) + b.
      3. Subtract 14: b = 8.
      Review the lesson
      QUESTION 6 · Quadratic structure

      What is the larger solution of (x − 3)(x + 4) = 0?

      1. -1
      2. 3
      3. 4
      4. -3
      Read the answer and explanation

      Answer: 3

      1. A product is zero if at least one factor is zero.
      2. The roots are x = 3 and x = −4.
      3. The larger root is 3.
      Review the lesson
      QUESTION 7 · Percent change

      What is 20% of 200?

      1. 10
      2. 160
      3. 4000
      4. 40
      Read the answer and explanation

      Answer: 40

      1. 20% equals 20/100 = 1/5.
      2. Multiply 200 by 1/5.
      3. The result is 40.
      Review the lesson
      QUESTION 8 · From areas to volumes

      A cylinder has diameter 12 cm and height 8 cm. Its volume is cπ cm³. What is c?

        Read the answer and explanation

        Answer: 288

        1. The radius is half the diameter, 6 cm.
        2. Volume=πr²h=π(6)²(8).
        3. The coefficient is 288; volume has cubic units.
        Review the lesson

        Sources and preparation route

        These prompts and explanations are the site's original learning materials. The reference links below support the selected skills; they are not endorsements or official examination questions.