Practice Test GeeksBluebook SAT Practice Test
← All Bluebook SAT Test Flashcard Decks

Linear Inequalities in One or Two Variables 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 Inequalities in One or Two Variables flashcards as text

  1. Solve for x: −3x + 6 > 15

    Answer: x < −3

    −3x > 9 → x < −3 (flip when dividing by −3).

  2. What is the graph of 2x + 1 < 7 on a number line?

    Answer: Open circle at 3, arrow left

    2x < 6 → x < 3; strict inequality uses open circle, arrow pointing left.

  3. Jacob can spend no more than $50. He picks up one book at $14. Each additional book costs $9. What is the maximum number of additional books he can buy?

    Answer: 4

    14 + 9b ≤ 50 → 9b ≤ 36 → b ≤ 4.

  4. Solve: 4 < 2x + 2 ≤ 12

    Answer: 1 < x ≤ 5

    Subtract 2 from all parts: 2 < 2x ≤ 10; divide by 2: 1 < x ≤ 5.

  5. The sum of a number and 6 is at most 10. Which inequality represents this?

    Answer: n + 6 ≤ 10

    'At most 10' means ≤ 10, so n + 6 ≤ 10.

  6. Which value of y does NOT satisfy 3y − 2 < 10?

    Answer: y = 4

    3y < 12 → y < 4; y = 4 does not satisfy y < 4.

  7. At a carnival, rides cost $2.50 each and food costs $8. Leila has $28. After buying food, how many rides can she go on at most?

    Answer: 8

    8 + 2.50r ≤ 28 → 2.50r ≤ 20 → r ≤ 8.

How this page was made: written with AI tools and published by Nathan Beja, founder of Practice Test Geeks, who is responsible for its content. Exam facts are checked against the official sources listed below. Not reviewed by a subject-matter expert. Editorial policy

Sources & references

Exam facts on this page (fees, format, dates, passing scores) are checked against these official sources; the date is our last check. Editorial policy

  1. satsuite.collegeboard.org — Score release, test delivery, time limit, test dates, fees, registration, retake policy · verified Oct 2026
  2. bluebook.collegeboard.org — Test delivery · verified Oct 2026