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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. What is the solution to 2x + 5 = 13?

    Answer: x = 4

    Subtracting 5 from both sides gives 2x = 8, and dividing by 2 gives x = 4.

  2. Solve for x: 3x − 7 = 2x + 5

    Answer: x = 12

    Subtracting 2x from both sides gives x − 7 = 5, and adding 7 to both sides gives x = 12.

  3. Which value satisfies −4x + 8 = 0?

    Answer: x = 2

    Adding 4x to both sides gives 8 = 4x, and dividing both sides by 4 gives x = 2.

  4. What is the slope of the line y = 3x − 5?

    Answer: 3

    In slope-intercept form y = mx + b, the coefficient of x is the slope, so m = 3.

  5. Solve: x/4 + 3 = 7

    Answer: x = 16

    Subtracting 3 from both sides gives x/4 = 4, and multiplying both sides by 4 gives x = 16.

  6. Which inequality represents 'x is at most 5'?

    Answer: x ≤ 5

    'At most 5' means x cannot exceed 5, including 5 itself, which is written as x ≤ 5.

  7. If 5x = 35, what is x?

    Answer: 7

    Dividing both sides by 5 gives x = 35 ÷ 5 = 7.