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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 value of x in the equation 3x - 9 = 12?

    Answer: 9

    Add 9 to both sides to get 3x = 21, then divide by 3 to get x = 7.

  2. Which expression is equivalent to 4(2x + 3)?

    Answer: 8x + 12

    Distribute 4 to each term inside the parentheses: 4·2x = 8x and 4·3 = 12.

  3. If y = 2x + 5, what is y when x = -3?

    Answer: -1

    Substitute x = -3: y = 2(-3) + 5 = -6 + 5 = -1.

  4. Solve for n: 5n + 4 = 2n + 19

    Answer: 5

    Subtract 2n from both sides: 3n + 4 = 19, then subtract 4: 3n = 15, so n = 5.

  5. What is the slope of the line described by y = -4x + 7?

    Answer: -4

    In slope-intercept form y = mx + b, the slope m is the coefficient of x, which is -4.

  6. Which pair of values (x, y) satisfies both equations: x + y = 6 and x - y = 2?

    Answer: (4, 2)

    Adding the equations gives 2x = 8, so x = 4; substituting back gives y = 2.

  7. A store sells pens for $2 each. If Maria spends $d on pens, which expression represents the number of pens she bought?

    Answer: d/2

    Dividing total dollars spent by the price per pen gives d ÷ 2 = d/2 pens.