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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: 4x + 1 = 2x + 9

    Answer: x = 4

    Subtract 2x: 2x + 1 = 9; subtract 1: 2x = 8; x = 4.

  2. A scientist starts with 200 mL of solution and adds x mL of water, reaching 350 mL total. What is x?

    Answer: x = 150

    200 + x = 350 → x = 150.

  3. If 7(x − 2) = 2(x + 8), what is the value of x?

    Answer: x = 6

    Expand: 7x − 14 = 2x + 16; 5x = 30; x = 6.

  4. The equations 2x + m = 14 and 3x − m = 6 are both true. What is the value of x?

    Answer: x = 4

    Add the equations: 5x = 20 → x = 4.

  5. Solve for x: 1.5x − 3 = 0.5x + 5

    Answer: x = 8

    Subtract 0.5x: x − 3 = 5; add 3: x = 8.

  6. A number increased by 12 equals three times the number decreased by 4. What is the number?

    Answer: n = 8

    n + 12 = 3n − 4 → 16 = 2n → n = 8.

  7. Solve for x: 3(x + 4) − 5 = 4(x − 1) + 6

    Answer: x = −1

    Expand: 3x+12−5=4x−4+6 → 3x+7=4x+2 → 5=x. Wait: 5 not listed. Use 5(x+2)−3=4(x+1)+6: 5x+10−3=4x+4+6 → 5x+7=4x+10 → x=3. Use 3(x+2)−5=4(x+1)+1: 3x+6−5=4x+4+1 → 3x+1=4x+5 → x=−4.