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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 x: 3(x - 4) = 2x + 5

    Answer: x = 17

    Distribute 3 to get 3x - 12 = 2x + 5. Subtract 2x from both sides: x - 12 = 5. Add 12: x = 17.

  2. Which inequality represents 'a number decreased by 8 is at most 15'?

    Answer: x - 8 ≤ 15

    'Decreased by 8' means subtract 8, and 'at most' means less than or equal to.

  3. What is the solution to the system: x + y = 10 and x - y = 4?

    Answer: x = 7, y = 3

    Adding both equations eliminates y: 2x = 14, so x = 7. Then y = 10 - 7 = 3.

  4. Simplify: 5x² + 3x - 2x² + 7x

    Answer: 3x² + 10x

    Combine like terms: 5x² - 2x² = 3x² and 3x + 7x = 10x.

  5. If 2x + 9 > 25, what is the solution set?

    Answer: x > 8

    Subtract 9 from both sides: 2x > 16. Divide by 2: x > 8.

  6. Factor the expression: x² - 9

    Answer: (x + 3)(x - 3)

    This is a difference of squares: a² - b² = (a + b)(a - b), where a = x and b = 3.