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Linear Equations and Inequalities Flashcards

7 cards from real ALEKS 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 and Inequalities flashcards as text

  1. Solve for y: 2y + 6 = 18

    Answer: y = 6

    Subtracting 6 from both sides gives 2y = 12, and dividing by 2 gives y = 6.

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

    Answer: 4

    In slope-intercept form y = mx + b, the y-intercept is the constant b = 4.

  3. Solve: 3(x − 2) = 12

    Answer: x = 6

    Distributing gives 3x − 6 = 12, then adding 6 yields 3x = 18, so x = 6.

  4. Which value is a solution to 2x − 3 > 7?

    Answer: x = 6

    Adding 3 gives 2x > 10, so x > 5; only x = 6 satisfies this condition.

  5. What is the x-intercept of y = 2x − 8?

    Answer: (4, 0)

    Setting y = 0 gives 2x = 8, so x = 4, making the x-intercept the point (4, 0).

  6. Solve: −3x + 9 = 0

    Answer: x = 3

    Subtracting 9 gives −3x = −9, and dividing both sides by −3 gives x = 3.

  7. Which compound inequality represents 'n is greater than −2 and less than 6'?

    Answer: −2 < n < 6

    'Greater than −2 and less than 6' uses strict inequalities (not including endpoints), written as −2 < n < 6.