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Linear Equations in One Variable Flashcards

7 cards from real Bluebook SAT Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Linear Equations in One Variable flashcards as text

  1. Solve for x: 2(3x − 4) = 4x + 6

    Answer: x = 7

    Expand: 6x − 8 = 4x + 6; subtract 4x: 2x = 14; x = 7.

  2. A number is 3 more than twice another number. The sum of the two numbers is 21. What is the larger number?

    Answer: 15

    Let n = smaller; larger = 2n + 3. Then 3n + 3 = 21 → n = 6; larger = 15.

  3. If 5x − 2 = 3x + 10, what is the value of x + 1?

    Answer: 7

    2x = 12 → x = 6; x + 1 = 7.

  4. The perimeter of a rectangle is 38 cm. The length is 5 cm more than the width. What is the width?

    Answer: 7 cm

    2(w + w + 5) = 38 → 2(2w + 5) = 38 → 4w + 10 = 38 → 4w = 28 → w = 7.

  5. Solve for x: 10 − (2x + 3) = 1

    Answer: x = 3

    Distribute the negative: 7 − 2x = 1 → 2x = 6 → x = 3.

  6. A store prices jeans at $45 after a 10% markdown. What was the original price?

    Answer: $50.00

    0.90p = 45 → p = 50.

  7. If (x + 3)/2 = (2x − 1)/3, what is x?

    Answer: x = 11

    Cross-multiply: 3(x+3) = 2(2x−1) → 3x+9 = 4x−2 → 11 = x.