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Algebraic Equations and Inequalities 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 Algebraic Equations and Inequalities flashcards as text

  1. Solve for x: 3x - 7 = 2x + 5

    Answer: x = 12

    Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.

  2. Which value of x satisfies the inequality 4x + 1 > 13?

    Answer: x = 4

    Solving 4x > 12 gives x > 3, so x = 4 is the only choice greater than 3.

  3. What is the solution to 2(x + 3) = 14?

    Answer: x = 4

    Distribute to get 2x + 6 = 14, subtract 6 to get 2x = 8, then divide by 2 to get x = 4.

  4. Solve the equation: x/5 = 9

    Answer: x = 45

    Multiply both sides by 5 to get x = 45.

  5. Which inequality represents 'five less than twice a number is at most 11'?

    Answer: 2n - 5 ≤ 11

    'Twice a number' is 2n and 'five less than' means subtract 5, giving 2n - 5 ≤ 11.

  6. If 5y = 35, what is the value of y + 3?

    Answer: 10

    Dividing 35 by 5 gives y = 7, and 7 + 3 = 10.

  7. Solve for x: -3x ≤ 12

    Answer: x ≥ -4

    Dividing both sides by -3 requires flipping the inequality sign, giving x ≥ -4.