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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 y: 7y + 3 = 5y + 11

    Answer: y = 4

    Subtract 5y from both sides to get 2y + 3 = 11, then subtract 3 and divide by 2 to get y = 4.

  2. If 3x + 2 = 17, what is the value of 6x?

    Answer: 30

    Solving gives 3x = 15, so x = 5, and 6x = 30.

  3. A rectangle has length (2x + 3) and width 4. If the perimeter is 38, find x.

    Answer: x = 6

    Using P = 2l + 2w: 2(2x+3) + 2(4) = 38 gives 4x + 14 = 38, so 4x = 24 and x = 6.

  4. Solve the inequality: 2x - 3 < 7. What is the boundary value?

    Answer: x = 5

    Adding 3 to both sides gives 2x < 10, then dividing by 2 gives x < 5, so the boundary is 5.

  5. Which equation is equivalent to 4(x - 2) = 12?

    Answer: 4x = 20

    Distributing gives 4x - 8 = 12, and adding 8 to both sides gives 4x = 20.

  6. At a car wash, each car costs $8. Revenue must exceed $120 to cover costs. What is the minimum number of cars needed?

    Answer: 16

    The inequality 8c > 120 gives c > 15, so at least 16 cars (the next whole number) are needed.

  7. Which of the following is NOT a solution to the inequality x ≥ -5?

    Answer: x = -6

    x = -6 is less than -5 and does not satisfy x ≥ -5; all other values are greater than or equal to -5.