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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. A number increased by 8 equals 23. What is the number?

    Answer: 15

    The equation n + 8 = 23 gives n = 15 when you subtract 8 from both sides.

  2. Solve for a: 2a + 5 = a - 3

    Answer: a = -8

    Subtract a from both sides to get a + 5 = -3, then subtract 5 to get a = -8.

  3. What is the solution set for |x| = 6?

    Answer: x = 6 or x = -6

    Absolute value equations have two solutions: x = 6 and x = -6, since both have an absolute value of 6.

  4. Solve: 3(2x - 1) = 15

    Answer: x = 3

    Distribute to get 6x - 3 = 15, add 3 to get 6x = 18, then divide by 6 to get x = 3.

  5. On a number line, which description correctly shows x < -2?

    Answer: Open circle at -2, shading to the left

    A strict inequality uses an open circle, and x < -2 means values less than -2, so shading goes left.

  6. If 4t - 9 = 3, what is 2t?

    Answer: 6

    Solving gives 4t = 12, so t = 3, and 2t = 6.

  7. Which of the following is a solution to the compound inequality -1 < x ≤ 4?

    Answer: x = 0

    x = 0 satisfies -1 < 0 ≤ 4; x = -1 is excluded by the strict <, and x = 5 and x = -2 are out of range.