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ACT Math Number and Quantity: exponents, roots, complex numbers, ratios, percentages, vectors and matrices quiz quiz

12questions. Pick an answer and you'll see why right away.

  1. Which expression is equivalent to x6β‹…x2x^{6} \cdot x^{2}?

  2. What is 48\sqrt{48} in simplest radical form?

  3. Compute (4Γ—105)(2Γ—103)(4 \times 10^{5})(2 \times 10^{3}) in scientific notation.

  4. If i=βˆ’1i = \sqrt{-1}, what is (5+3i)βˆ’(2+7i)(5 + 3i) - (2 + 7i)?

  5. What is i6i^{6}?

  6. A recipe uses sugar and flour in the ratio 2 to 5. If 10 cups of sugar are used, how many cups of flour are needed?

  7. A car travels 180 miles in 3 hours. At this rate, how far does it travel in 5 hours?

  8. A \90$ item is discounted 40%. What is the sale price?

  9. After a 25% increase, a price is \75$. What was the original price?

  10. If uβƒ—=⟨4,βˆ’3⟩\vec{u} = \langle 4, -3 \rangle and vβƒ—=⟨1,5⟩\vec{v} = \langle 1, 5 \rangle, what is uβƒ—+vβƒ—\vec{u} + \vec{v}?

  11. What is the magnitude of the vector ⟨8,15⟩\langle 8, 15 \rangle?

  12. What is 82/38^{2/3}?