Potencias

Exam Parcial 1 MATEMÁTICAS 1 Name___________________________________PROFESOR RUBÉN DARÍO LOZANO RUBIANO MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the decimal form for the rational number. If it repeats, then so indicate with a bar. 9 1) 2 A) 4.55 2) 22 3

1) D) 4.5 2)

B) 4.6

C) 4.5

A) -7.33

B) -7.34

C) -7.33D) -7.3

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Describe and graph the interval of real numbers. 3) (0, ) 3)

4) (-7, -2)

4)

5) x is greater than -2 and less than or equal to 5.

5)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use an inequality to describe theinterval of real numbers. 6) [-8, 4) A) -8 x 4 B) x < 4 6)

C) -8 < x 4

D) -8

x -4

7)

Simplify the expression. Assume that the variables in the denominator are nonzero. x4 y8 8) x9 y2 A)
y6 x5

8) D)
x5 y6

B)

x6 y5

C)

x5 y5

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9)

(5x4)2 z3 5z 5

9) B)
5x8 z2

A)

x8 z2

C) 5x8 z 2

D)

x8 5z 2

10)

4 2 y8

10)
16 y8 -2 9 2 y4x
2b2 6a 3b9

A)

B)

4 y16

C)

y8 16

D)

16 y16

11)

xy2

3

11) B)
x2 y4 3

A)

C)

x2 y4 9

D)

x2 y2 9

12)

30a 7 b7 ab4

12) B) 10a 3b4 C)
10a 3 b4

A)

5a 3 b4

D)

1 10a 3 b4

Match the numerical model to the corresponding model. 13) x 1 3 5 7 9 11 y 2 0 6 20 42 72 A) y = (x+2)(x+3) B) y = x2-5x-6 14) x 2 4 6 8 10 12 y 10 20 30 40 5060 A) y = 5x B) y = 5x + 1

13) C) y = (x-2)(x-3) D) y = x2+5x +6 14) C) y = x + 5 D) y =
1 x 5

15) x 3 5 7 9 11 13 y 14 26 38 50 62 74 A) y = 7x-7

15) B) y = 5x-1 C) y = 6x-4 D) y = 3x+5

Solve the problem. 16) The following data set gives the average home value, in dollars, for a city at 5-year intervals.
Year Value 1970 104,395 1975 112,445 1980 116,845 1985 129,685 1990 143,395 1995162,815

16)

Determine where f is increasing or decreasing. A) f is constant for the given x-values. B) f is increasing until 1980, then f is decreasing for remainder of x-values. C) f is decreasing for the given x values. D) f is increasing for the given x-values.

2

17) The results of an analysis, on the makeup of garbage, done by the Environmental Protection Agency was published in1990. Some of the results are given in the following table, which for various years gives the number of pounds per person per day of various types of waste materials.
Waste materials Glass Plastics Metals Paper 1960 .20 .01 .32 .91 1970 .34 .08 .38 1.19 1980 .36 .19 .35 1.32 1988 .28 .32 .34 1.60

17)

For glass, calculate the average rate of change between 1970 and 1980. Then interpret whatthis value means. A) From 1970 to 1980, the number of pounds of glass per person per day increased by .11 per year. B) From 1970 to 1980, the number of pounds of glass per person per day decreased by .11 per year. C) From 1970 to 1980, the number of pounds of glass per person per day decreased by .002 per year. D) From 1970 to 1980, the number of pounds of glass per person per day increased by.002 per year.

18) The results of an analysis, on the makeup of garbage, done by the Environmental Protection Agency was published in 1990. Some of the results are given in the following table, which for various years gives the number of pounds per person per day of various types of waste materials.
Waste materials Glass Plastics Metals Paper 1960 .20 .01 .32 .91 1970 .34 .08 .38 1.19 1980 .36.19 .35 1.32 1988 .28 .32 .34 1.60

18)

For plastics, calculate the average rates of change between consecutive data points in the table. Interpret the meaning of your results. A) The rate of increase increases during the 1970's, but then decreases during the 1980's. B) The rate of increase decreases from each decade to the next. C) The rate of increase increases from each decade to the next....