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Linear Equations and Systems Flashcards

8 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 8 Linear Equations and Systems flashcards as text

  1. If 6x − 4 = 2x + 12, what is x?

    Answer: 4

    6x − 2x = 12 + 4 → 4x = 16 → x = 4.

  2. Which ordered pair satisfies both equations: x + y = 6 and 2x − y = 3?

    Answer: (3, 3)

    Add equations: 3x = 9 → x = 3. Then y = 6 − 3 = 3. Solution: (3, 3).

  3. A plumber charges $50 for a house visit plus $40 per hour. If the total bill is $210, how many hours did the plumber work?

    Answer: 4

    50 + 40h = 210 → 40h = 160 → h = 4.

  4. What is the y-intercept of the line 5x + 2y = 10?

    Answer: 5

    Set x = 0: 2y = 10 → y = 5. The y-intercept is 5.

  5. If 2/3 x = 8, what is x?

    Answer: 12

    Multiply both sides by 3/2: x = 8 × (3/2) = 12.

  6. A system has equations x = 2y and x + y = 9. What is x?

    Answer: 6

    Substitute x = 2y into x + y = 9: 2y + y = 9 → 3y = 9 → y = 3. Then x = 2(3) = 6.

  7. Which equation represents a line parallel to y = 4x − 3?

    Answer: y = 4x + 7

    Parallel lines have equal slopes. The slope is 4, so y = 4x + 7 is parallel.

  8. Jonah earns $12 per hour and has already saved $40. After working h hours, he has $100. How many hours did he work?

    Answer: 5

    40 + 12h = 100 → 12h = 60 → h = 5.