HONORS DISCRETE 3RD QUARTER TEST



HONORS DISCRETE PRACTICE MULTIPLE CHOICE

DMTA: MATRICES

Pick the MOST ACCURATE Answer Choice

1) The Baltic Sea covers 147,500 square miles of area and has an average depth of 180 feet. The North Sea covers 164,900 square miles of area and has an average depth of 308 feet. The Red Sea has an area of 174,900 square miles and has an average depth of 1,764 feet. The East China Sea has an area of 256,600 square miles and an average depth of 620 feet. Which matrix displays this information organized by area and depth of each sea?

A. [pic] B. [pic]

C. [pic] D. [pic]

2) On Tuesday, a store sold 12 compact discs, 5 cassettes, and 9 videos. On Wednesday, the store sold 19 compact discs, 3 cassettes, 9 videos, and 35 concert tickets. Which matrix shows the number of items sold, organized by day and product?

A. [pic] B. [pic] C. [pic] D. [pic]

3) A survey was done asking students what type of athletic shoes they wear and which type they would buy the next time they bought shoes. The results are shown in the chart below. Which matrix represents these data?

|Type of Shoe Worn |Type of Shoe Students Would Buy |

|Tennis Shoes (T) |40% Tennis Shoes (T) |

| |25% Running Shoes (R) |

| |35% Basketball Shoes (B) |

|Running Shoes (R) |60% Running Shoes (R) |

| |15% Tennis Shoes (T) |

| |25% Basketball Shoes (B) |

A. [pic] B. [pic]

C. [pic] D. [pic]

4) Given the matrices: [pic] and [pic], What is 4J – 2K?

A. [pic] B. [pic] C. [pic] D. [pic]

5) Given the matrices: [pic] and [pic], What is 3E – F?

A. [pic] B. [pic] C. [pic] D. [pic]

6) Which of the following matrix operations is impossible?

A. [pic] B. [pic] C. [pic] D. [pic]

7) Terri buys a bag of chips for 25 cents, two candy bars at 45 cents each, two packs of gum at 30 cents each, and a medium drink for 75 cents. Which of the following matrix multiplication statements would accurately find how much money Terri paid in dollars?

A. [pic] B. [pic] C. [pic] D. [pic]

8) What is the dimension of the matrix [pic] ?

A. 3 by 5 B. 5 by 3 C. 15 D. None

For #9 – 11: The students at Central High are planning to hire a band (A, B, or C)for the prom. They survey the Sophomore, Junior, and Senior classes .

The following percentages of students prefer the each band:

[pic]

The student population by class and sex is:

[pic]

9) In the Preference Matrix, what does P23 mean?

A. The percentage of 11th graders that like band C.

B. To multiply all the percentages by 23.

C. The percentage of 12th graders that like band B.

D. To add the 2nd and 3rd row percentages together.

10) How many male students were surveyed?

A. 630 B. 1245 C. 460 D. 615

11) What matrix multiplication statement would give you the number of students who like each band by gender?

A. [pic] B. [pic]

C. [pic] D. [pic]

| |Jazz Band |Symphonic Band |Orchestra |

|Almond Bars |300 |220 |250 |

|Chocolate Chews |240 |330 |400 |

|Sour balls |175 |150 |160 |

12) Three music classes at are selling candy as a fundraiser. The profit is sour balls = 30 cents; chocolate chews = 50 cents and almond bars = 25 cents. The number of each kind of candy sold is shown in the following table. Which matrix multiplication would compute the profit made by each class?

A. [pic] B. [pic]

C. [pic] D. [pic]

For #13 – 15: Consider the given survival and birth rates for a specific population of lizards

|Age Groups (yrs) |Birth Rate |Survival Rate |

|0 – 5 |0 |0.4 |

|5 – 10 |0.6 |0.7 |

|10 – 15 |1.2 |0.8 |

|15 – 20 |1.3 |0.9 |

|20 – 25 |0.4 |0.6 |

|25 – 30 |0 |0 |

13) Which matrix would accurately represent the Leslie Matrix for this table?

A. [pic] B. [pic]

C. [pic] D. [pic]

14) Suppose the initial population distribution is given by[pic], What is the approximate population distribution of P6?

A. [pic] B. [pic]

C. [pic] D. [pic]

15) Suppose the initial population distribution is given by[pic], what is the approximate total population after 10 years?

A. 182 B. 150 C. 118 D. 137

HONORS DISCRETE PRACTICE MULTIPLE CHOICE

DMTA MATRIX SOLUTIONS

1. C

2. C

3. A

4. B

5. A

6. D

7. A

8. B

9. C

10. D

11. C

12. B

13. A

14. C

15. B

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