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ACT Math — Integrating Essential Skills — Drill 4

Drill 4 · Math · Integrating Essential Skills

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About This Drill

ACT Math — Integrating Essential Skills — Drill 4 is a Math practice drill covering Integrating Essential Skills. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

This ACT Integrating Essential Skills drill covers volume calculations in real-world contexts, distance-speed-time problems, computing tax and tip on a purchase, interpreting linear equations in applied settings, and applying the compound interest formula.

Questions in This Drill

  1. A fish tank is shaped like a rectangular prism with a length of 24 inches, a width of 12 inches, and a height of 16 inches. The tank is currently filled to 75% of its capacity. How many cubic inches of water are in the tank?
  2. Two cyclists start from the same location and ride in opposite directions. Cyclist A rides at 14 mph and Cyclist B rides at 18 mph. After how many hours will they be 128 miles apart?
  3. A restaurant meal costs $48.00 before tax and tip. Sales tax is 7% and the customer wants to leave an 18% tip on the pre-tax amount. What is the total amount the customer pays?
  4. A cell phone plan charges a monthly base fee plus a per-minute rate for calls. The total monthly cost C (in dollars) for m minutes of calls is given by C = 0.05m + 25. Which of the following correctly interprets this equation?
  5. An investment of $5,000 earns 4% interest compounded annually. What is the value of the investment after 3 years, rounded to the nearest dollar? (Use the formula A = P(1 + r)t)