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1.2: Practice Questions

Difficulty Level: At Grade Created by: CK-12
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Directions: For this section, solve each problem and decide which is the best of the choices given. You may use any available space for scratchwork.

  1. (Numbers and Operations) — A racecar driver has completed \begin{align*}12\frac{1}{2}\end{align*} laps of a \begin{align*}50- \text{lap}\end{align*} race. What fractional part of the race remains?
    1. \begin{align*}1/4\end{align*}
    2. \begin{align*}1/5\end{align*}
    3. \begin{align*}3/4\end{align*}
    4. \begin{align*}4/5\end{align*}
    5. \begin{align*}75/2\end{align*}
  2. (Numbers and Operations) — If \begin{align*} \text{M}\end{align*} is the set of positive multiples of \begin{align*}2\end{align*} less than \begin{align*}150\end{align*} and \begin{align*} \text{N}\end{align*} is the set of positive multiples of \begin{align*}9\end{align*} less than \begin{align*}150\end{align*}, how many members are there in \begin{align*} \text{M \ n \ N}\end{align*}?
    1. \begin{align*}8\end{align*}
    2. \begin{align*}9\end{align*}
    3. \begin{align*}18\end{align*}
    4. \begin{align*}74\end{align*}
  3. (Algebra and Functions) — If \begin{align*}x \neq 2 y\end{align*}, then \begin{align*}\frac{x - 2y}{2y - x} + \frac{2y - x}{x - 2y} = \end{align*}
    1. \begin{align*}2(x - 2y)\end{align*}
    2. \begin{align*}2y - x\end{align*}
    3. \begin{align*}1\end{align*}
    4. \begin{align*}-2\end{align*}
  4. (Algebra and Functions) — If \begin{align*}2x = 10\end{align*}, what is the value of \begin{align*}\frac{625}{x}\end{align*}?
  5. (Algebra and Functions) — If Dave drove one-third of the distance of his trip on the first day, and \begin{align*}60 \text{miles}\end{align*} on the second day, he figured out that he still had \begin{align*}\frac{1}{2}\end{align*} of the trip to drive. What was the total length, in miles, of his trip?
    1. \begin{align*}360\end{align*}
    2. \begin{align*}180\end{align*}
    3. \begin{align*}120\end{align*}
    4. \begin{align*}60\end{align*}
    5. \begin{align*}90\end{align*}
  6. (Geometry) — What is \begin{align*}f(2)\end{align*} for the graph of \begin{align*}f(x)\end{align*} below?
    1. \begin{align*}1\end{align*}
    2. \begin{align*}\frac{1}{2}\end{align*}
    3. \begin{align*}2\end{align*}
    4. \begin{align*}-1\end{align*}
  7. (Geometry) — Find the perimeter of lsosceles triangle \begin{align*} \text{ABC}\end{align*} if \begin{align*} \text{mAD} = 3\end{align*} and \begin{align*}\text{m}<\text{BAC} = 55^\circ\end{align*}. Round to the nearest hundredth.
    1. \begin{align*}5.21\end{align*}
    2. \begin{align*}10.42\end{align*}
    3. \begin{align*}13.48\end{align*}
    4. \begin{align*}16.46\end{align*}
    5. \begin{align*}13.39\end{align*}
  8. (Geometry) — Which segment is congruent to \begin{align*}\overline{BE}\end{align*}?
    1. \begin{align*} \text{DE}\end{align*}
    2. \begin{align*} \text{AC}\end{align*}
    3. \begin{align*} \text{BD}\end{align*}
    4. \begin{align*} \text{CE}\end{align*}
    5. \begin{align*} \text{AE}\end{align*}
  9. (Probability and Statistics) According to the graph, the greatest change in the profit of the Sports Shack occurred between which two consecutive months?
    1. January and February
    2. February and March
    3. March and April
    4. April and May
    5. May and June
  10. (Probability and Statistics) — An automobile company made \begin{align*}36,000\end{align*} automobiles in the proportions shown in the table below. How many of the automobiles produced were either SUVs or vans?
    1. \begin{align*}39\end{align*}
    2. \begin{align*}9,000\end{align*}
    3. \begin{align*}5,040\end{align*}
    4. \begin{align*}14,040\end{align*}
    5. \begin{align*}18,000\end{align*}

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Date Created:
Feb 23, 2012
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Dec 20, 2015
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