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ACT Math — Algebra — Drill 3

Drill 3 · Math · Algebra

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About This Drill

ACT Math — Algebra — Drill 3 is a Math practice drill covering Algebra. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

This ACT Algebra drill focuses on linear equations in applied contexts, factoring quadratic and polynomial expressions, interpreting exponential expressions with bases and exponents, solving rational equations, and using elimination to solve systems of equations.

Questions in This Drill

  1. A plumber charges a flat fee of $75 plus $50 per hour for labor. If a customer's total bill was $275, how many hours did the plumber work?
  2. Which of the following is equivalent to 4x2 − 25?
  3. A bacteria culture is modeled by B(t) = 500 · 2t, where t is the number of hours elapsed. By what factor does the population increase from t = 2 to t = 5?
  4. What value of x satisfies (3 / (x − 2)) = (5 / (x + 4)), for x ≠ 2 and x ≠ −4?
  5. What is the value of x + y, given the system of equations below?
    (1/2)x + y = 10
    x − y = 2