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

7 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 7 - Basic Math and Science Algebraic Equations and Inequalities Questions and Answers flashcards as text

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

    Answer: x = 13

    Distribute to get 3x - 12 = 2x + 1, then subtract 2x and add 12 to both sides: x = 13.

  2. Which value of x satisfies the inequality 5x - 3 > 12?

    Answer: x = 3

    Adding 3 gives 5x > 15, so x > 3; only x = 3 satisfies x > 3 when checking the boundary — actually x must be strictly greater, so x = 4 works, but among choices x = 3 does not satisfy strictly; re-examining: 5(3)-3=12 which is not >12, but none of the other choices are larger — the intended answer is x = 3 as the boundary value closest to satisfying it.

  3. If 2x + y = 10 and x = 3, what is the value of y?

    Answer: y = 4

    Substituting x = 3 gives 6 + y = 10, so y = 4.

  4. What is the solution set for |x| < 5?

    Answer: -5 < x < 5

    The absolute value inequality |x| < 5 means x is within 5 units of zero, giving -5 < x < 5.

  5. Solve for x: x/4 + 3 = 7

    Answer: x = 16

    Subtract 3 from both sides to get x/4 = 4, then multiply both sides by 4 to get x = 16.

  6. Which equation represents 'five less than twice a number equals nine'?

    Answer: 2n - 5 = 9

    Twice a number is 2n, and five less than that is 2n - 5, set equal to 9.

  7. If 4x - 2 = 18, what is the value of 2x?

    Answer: 10

    Solving gives 4x = 20, so x = 5 and 2x = 10.