Practice Test GeeksMath Practice Test
← All Math Flashcard Decks

Linear Equations, Inequalities, and Systems Flashcards

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

Read the first 6 Linear Equations, Inequalities, and Systems flashcards as text

  1. Solve for x: 3(x − 2) + 4 = 2x + 7

    Answer: x = 9

    3x − 6 + 4 = 2x + 7 → 3x − 2 = 2x + 7 → x = 9.

  2. Which value of x satisfies the inequality 2x − 5 > 3?

    Answer: x = 5

    2x − 5 > 3 → 2x > 8 → x > 4. Only x = 5 is greater than 4.

  3. Solve the system: x + y = 10 and 2x − y = 5

    Answer: x = 5, y = 5

    Add the equations: 3x = 15 → x = 5. Substitute: 5 + y = 10 → y = 5.

  4. What is the slope of the line passing through (2, 3) and (6, 11)?

    Answer: 2

    Slope = (y₂ − y₁)/(x₂ − x₁) = (11 − 3)/(6 − 2) = 8/4 = 2.

  5. A line has equation y = −3x + 7. What is the y-intercept?

    Answer: 7

    In slope-intercept form y = mx + b, b is the y-intercept. Here b = 7.

  6. If −4 < 2x ≤ 8, which of the following is a valid solution set for x?

    Answer: −2 < x ≤ 4

    Divide all parts of the compound inequality by 2: −4/2 < 2x/2 ≤ 8/2 → −2 < x ≤ 4.

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. We have not yet matched this exam's facts to an official source, so confirm fees, dates and rules with the exam body. Not reviewed by a subject-matter expert. Editorial policy