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7.10: Chapter 7 Test

Difficulty Level: At Grade Created by: CK-12
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  1. True or false? A shorter way to write a permutation is \begin{align*}\binom {n}{k} \end{align*}.
  2. Is (–17, 17) a solution to \begin{align*}\begin{cases} y=\frac{1}{17} x+18\\ y=-\frac{21}{17} x-4 \end{cases}\end{align*}?
  3. What is the primary difference between a combination and a permutation?
  4. An airplane is traveling a distance of 1,150 miles. Traveling against the wind, the trip takes 12.5 hours. Traveling with the wind, the same trip takes 11 hours. What is the speed of the plane? What is the speed of the wind?
  5. A solution set to a system of inequalities has two dashed boundary lines. What can you conclude about the coordinates on the boundaries?
  6. What does \begin{align*}k\end{align*} have to be to create a dependent-consistent system? \begin{align*}\begin{cases} 5x+2y=20\\ 15x+ky=60 \end{cases}\end{align*}
  7. Joy Lynn makes two different types of spring flower arrangements. The Mother’s Day arrangement has 8 roses and 6 lilies. The Graduation arrangement has 4 roses and 12 lilies. Joy Lynn can use no more than 120 roses and 162 lilies. If each Mother’s Day arrangement costs $32.99 and each Graduation arrangement costs $27.99, how many of each type of arrangement should Joy Lynn make to make the most revenue?
  8. Solve the system \begin{align*}\begin{cases} -6x+y=-1\\ -7x-2y=2 \end{cases}\end{align*}.
  9. Solve the system\begin{align*}\begin{cases} y=0\\ 8x+7y=8 \end{cases}\end{align*}.
  10. Solve \begin{align*}\begin{cases} y=x+8\\ y=3x+16 \end{cases}\end{align*}.
  11. How many solutions does the following system have? \begin{align*}\begin{cases} y=-2x-2\\ y=-2x+17 \end{cases}\end{align*}
  12. The letters to the word VIOLENT are placed into a bag.
    1. How many different ways can all the letters be pulled from the bag?
    2. What is the probability that the last letter will be a consonant?
  13. Suppose an ice cream shop has 12 different topping choices for an ice cream sundae. How many ways can you choose 5 of the 12 toppings?
  14. A saleswoman must visit 13 cities exactly once without repeating. In how many ways can this be done?

Texas Instruments Resources

In the CK-12 Texas Instruments Algebra I FlexBook, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9617.

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