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- Basic Math and Science Algebraic Equations and Inequalities Questions and Answers Flashcards

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

Read the first 6 - Basic Math and Science Algebraic Equations and Inequalities Questions and Answers flashcards as text

  1. Solve for y: 4y - 3 = 2(y + 5)

    Answer: y = 6.5

    Distribute: 4y - 3 = 2y + 10. Subtract 2y: 2y - 3 = 10. Add 3: 2y = 13. Divide: y = 6.5.

  2. Which value of x satisfies both x ≥ -2 and x < 5?

    Answer: 3

    The value 3 is in the interval [-2, 5). The value -3 is less than -2, 5 is not less than 5, and 7 is greater than 5.

  3. What is the slope of the line represented by 3x + 6y = 18?

    Answer: -1/2

    Rewrite in slope-intercept form: 6y = -3x + 18, y = -1/2 x + 3. The slope is -1/2.

  4. Solve: |2x - 6| = 10

    Answer: x = 8 or x = -2

    Set up two equations: 2x - 6 = 10 gives x = 8, and 2x - 6 = -10 gives x = -2.

  5. If f(x) = 2x² - 3x + 1, what is f(2)?

    Answer: 3

    f(2) = 2(4) - 3(2) + 1 = 8 - 6 + 1 = 3.

  6. Solve the inequality: -3x + 12 ≤ 0

    Answer: x ≥ 4

    Subtract 12: -3x ≤ -12. Divide by -3 and flip the inequality: x ≥ 4.