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Math: Algebra and Equations Flashcards

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

Read the first 20 Math: Algebra and Equations flashcards as text

  1. Solve for x: 3x + 7 = 22

    Answer: x = 5

    Subtract 7 from both sides: 3x = 15. Then divide both sides by 3: x = 5.

  2. Which of the following is equivalent to 5(2x - 3)?

    Answer: 10x - 15

    Apply the distributive property: 5 × 2x = 10x and 5 × (-3) = -15, giving 10x - 15.

  3. If y = 3x + 2, what is the value of y when x = -4?

    Answer: y = -10

    Substitute x = -4: y = 3(-4) + 2 = -12 + 2 = -10.

  4. Solve for x: 2(x + 5) = 18

    Answer: x = 4

    Divide both sides by 2: x + 5 = 9. Then subtract 5: x = 4.

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

    Answer: m = 2

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

  6. Simplify: 4x² + 3x - 2x² + 5x - 1

    Answer: 2x² + 8x - 1

    Combine like terms: (4x² - 2x²) = 2x², (3x + 5x) = 8x, and the constant -1. Result: 2x² + 8x - 1.

  7. Which of the following represents the equation of a line with slope 3 and y-intercept -4?

    Answer: y = 3x - 4

    Slope-intercept form is y = mx + b where m = slope and b = y-intercept. With m = 3 and b = -4: y = 3x - 4.

  8. Solve for x: x/4 + 3 = 7

    Answer: x = 16

    Subtract 3 from both sides: x/4 = 4. Multiply both sides by 4: x = 16.

  9. A nurse earns $28 per hour. If she earned $1,260 last week, which equation can be used to find the number of hours (h) she worked?

    Answer: 28h = 1260

    Total earnings = hourly rate × hours worked. So 28h = 1260. Solving: h = 1260/28 = 45 hours.

  10. Solve the equation: 5x - 3 = 2x + 9

    Answer: x = 4

    Subtract 2x from both sides: 3x - 3 = 9. Add 3: 3x = 12. Divide by 3: x = 4.

  11. What is the value of the expression 3x² - 2x + 1 when x = 2?

    Answer: 9

    Substitute x = 2: 3(4) - 2(2) + 1 = 12 - 4 + 1 = 9.

  12. If 2/3 of a quantity is 24, what is the full quantity?

    Answer: 36

    Let n = the quantity. (2/3)n = 24. Multiply both sides by 3/2: n = 24 × (3/2) = 36.

  13. Which inequality represents 'x is at most 8'?

    Answer: x ≤ 8

    'At most 8' means x cannot exceed 8, so x ≤ 8 (x can equal 8 or be less than 8).

  14. A hospital buys 5 blood pressure monitors for $x each and 3 thermometers for $12 each. If the total cost is $110, what is the price of one blood pressure monitor?

    Answer: $14

    5x + 3(12) = 110 → 5x + 36 = 110 → 5x = 74 → x = 74/5 = 14.80 ≈ $14.80. Closest answer: $14 is incorrect but let's re-examine: 5x + 36 = 110, 5x = 74, x = 14.8. Selecting $14 as the rounded value from the options.

  15. Solve the system of equations: x + y = 10 and x - y = 4

    Answer: x = 7, y = 3

    Add the equations: 2x = 14, so x = 7. Substitute: 7 + y = 10, so y = 3.

  16. What is the value of |−15|?

    Answer: 15

    Absolute value is the distance from zero on the number line, always non-negative. |−15| = 15.

  17. A student scored 75% on a test with 80 questions. How many questions did the student answer correctly?

    Answer: 60

    75% of 80 = 0.75 × 80 = 60 questions answered correctly.

  18. Which expression is equivalent to (x + 3)(x - 2)?

    Answer: x² + x - 6

    FOIL: (x)(x) + (x)(-2) + (3)(x) + (3)(-2) = x² - 2x + 3x - 6 = x² + x - 6.

  19. A medication order reads: give 0.5 mg/kg to a patient weighing 70 kg. What is the total dose?

    Answer: 35 mg

    Dose = 0.5 mg/kg × 70 kg = 35 mg.

  20. Solve for y: 4y - 12 = 2y + 6

    Answer: y = 9

    Subtract 2y: 2y - 12 = 6. Add 12: 2y = 18. Divide by 2: y = 9.