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THEA Algebra & Problem Solving Flashcards

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

Read the first 6 THEA Algebra & Problem Solving flashcards as text

  1. A car travels 240 miles in 4 hours. What is its average speed in miles per hour?

    Answer: 60 mph

    Average speed = distance ÷ time = 240 ÷ 4 = 60 mph.

  2. What is the value of x in the proportion 3/5 = x/20?

    Answer: 12

    Cross-multiplying: 5x = 60, so x = 12.

  3. If a shirt originally costs $40 and is on sale for 25% off, what is the sale price?

    Answer: $30

    25% of $40 = $10 discount, so the sale price is $40 - $10 = $30.

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

    Answer: x = 7, y = 3

    Adding the equations: 2x = 14, so x = 7; substituting back: 7 + y = 10, so y = 3.

  5. What is the value of |-15|?

    Answer: 15

    The absolute value of any number is its distance from zero on the number line, so |-15| = 15.

  6. Which of the following is a solution to the equation x² - 9 = 0?

    Answer: x = 3

    x² = 9, so x = ±3; both 3 and -3 are solutions, and x = 3 is among the choices.

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Sources & references

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  1. highered.texas.gov — Test delivery, eligibility, fees, score validity · verified Oct 2026
  2. accuplacer.collegeboard.org — Exam format, retake policy, score release, time limit · verified Oct 2026