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Algebraic Concepts Flashcards

7 cards from real BSEP 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 Concepts flashcards as text

  1. What is the solution to the inequality 4x < 20?

    Answer: x < 5

    Divide both sides by 4: x < 5.

  2. Which ordered pair lies on the line y = 2x - 1?

    Answer: (0, -1)

    When x = 0: y = 2(0) - 1 = -1, confirming (0, -1) is on the line.

  3. Evaluate the expression 2a² - 3b when a = 3 and b = 4.

    Answer: 6

    Substitute: 2(3²) - 3(4) = 2(9) - 12 = 18 - 12 = 6.

  4. Which property is used to rewrite 5(x + 3) as 5x + 15?

    Answer: Distributive property

    The distributive property states a(b + c) = ab + ac, used here to expand 5(x + 3).

  5. Solve for x: x/4 + 3 = 7

    Answer: 16

    Subtract 3 from both sides: x/4 = 4, then multiply both sides by 4: x = 16.

  6. Two numbers have a sum of 20 and a difference of 6. What are the two numbers?

    Answer: 7 and 13

    If x + y = 20 and x - y = 6, adding gives 2x = 26, so x = 13 and y = 7.

  7. What does it mean when two linear equations have no solution?

    Answer: The lines are parallel

    Parallel lines never intersect, so a system of two parallel lines has no solution.