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HiSET Practice Test Math 3 Flashcards

6 cards from real HISET practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 HiSET Practice Test Math 3 flashcards as text

  1. Factor completely: x² − 9

    Answer: (x + 3)(x − 3)

    x² − 9 is a difference of squares. The formula is a² − b² = (a + b)(a − b). Here a = x and b = 3, so x² − 9 = (x + 3)(x − 3).

  2. A store sells a shirt for $45.00, which is a 20% markup over the wholesale price. What was the wholesale price?

    Answer: $37.50

    Let w = wholesale price. w × 1.20 = $45.00. w = $45.00 / 1.20 = $37.50.

  3. What is the value of |−15| + |−8| − |6|?

    Answer: 17

    Absolute value gives the non-negative value: |−15| = 15, |−8| = 8, |6| = 6. So 15 + 8 − 6 = 17.

  4. On a coordinate plane, the equation y = −2x + 4 is graphed. What is the y-intercept?

    Answer: 4

    In slope-intercept form y = mx + b, b is the y-intercept. In y = −2x + 4, the y-intercept is 4 (where the line crosses the y-axis, at x = 0).

  5. A right triangle has legs of length 9 and 12. What is the length of the hypotenuse?

    Answer: 15

    Using the Pythagorean theorem: c² = a² + b² = 9² + 12² = 81 + 144 = 225. c = √225 = 15.

  6. Simplify: (3x²y)(4xy³)

    Answer: 12x³y⁴

    Multiply coefficients: 3 × 4 = 12. Multiply x terms: x² × x¹ = x³. Multiply y terms: y¹ × y³ = y⁴. Result: 12x³y⁴.