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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 the system: x + y = 8 and x - y = 2

    Answer: x = 5, y = 3

    Adding the equations gives 2x = 10, so x = 5; substituting back gives y = 3.

  2. Which inequality is equivalent to -3x ≥ 9?

    Answer: x ≤ -3

    Dividing both sides by -3 requires flipping the inequality sign, giving x ≤ -3.

  3. What value of x makes the equation x² = 49 true (positive solution)?

    Answer: 7

    Taking the square root of both sides gives x = ±7; the positive solution is x = 7.

  4. A number increased by 15 is at most 40. Which inequality models this?

    Answer: n + 15 ≤ 40

    'At most 40' means less than or equal to 40, so the inequality is n + 15 ≤ 40.

  5. Solve for y: 3y/5 = 9

    Answer: y = 15

    Multiply both sides by 5 to get 3y = 45, then divide by 3 to get y = 15.

  6. If 2(3x + 1) = 20, what is x?

    Answer: x = 3

    Dividing both sides by 2 gives 3x + 1 = 10, then 3x = 9, so x = 3.

  7. Graph of which inequality shades to the left on a number line?

    Answer: x < 4

    x < 4 includes all values less than 4, which are to the left of 4 on a number line.