What is the length of the shortest side of the triangle

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Reference no: EM131072413

Math Exam-

1. Which answer BEST describes the solution for x if -3 < x + 4 ≤ 7?

A. x > -7

B. x > -7 and x < 3

C. x ≥ -7 and x ≤ 3

D. x > -7 and x ≤ 3

2. If x equals 9, find the perimeter, P, of the triangle below:

A. P = 94

B. P = 110

C. P = 388.5

D. P = 756

3. Solve for x: 3(x - 2) = 9

A. -5

B. -4

C. 4

D. 5

4. Which of the following is NOT a valid Triangle Congruence Theorem?

A. SSS

B. ASA

C. SAS

D. SSA

5. Solve.

w - 2(8 - w) = -31

A. -5

B. -3

C. 15

D. 47

6. The lengths of the sides of a triangle are three consecutive odd integers. The perimeter of the triangle is 45 cm. What is the length of the SHORTEST side of the triangle?

A. 13 cm

B. 14 cm

C. 15 cm

D. 21 cm

7. In this diagram where is the line of reflection?

A. x = 0

B. x = 1

C. y = 2

D. y = 3.5

8. If two lines have the same slope, what can be said about the lines?

A. they are perpendicular

B. they are parallel

C. they will intersect at right angles

D. their slopes equal zero

9. Solve the equation for y: 28 - 4y - 5y = 37

A. 9

B. 1

C. -1

D. -9

10. The vertices of ?ABC are A(-4, 2), B(6, 6), C(2, 7). A translation maps point A to the point A'(6, -3). If B and C are mapped by the same translation, what are the coordinates of B' and C'?

A. B'(-4, 11), C'(-8, -12)

B. B'(8, 5), C'(4, 6)

C. B'(12, 3), C'(8, 4)

D. B'(16, 1), C'(12, 2)

11. In this diagram, what is the BEST description of the transformation shown?

A. Reflection

B. Rotation

C. Translation

D. Dilation

12. Triangle ABC is reflected over the line y = x to produce triangle A'B'C'.

What will be the coordinates of A'?

A. (2 , -1)

B. (-2 , -1)

C. (2 , 1)

D. (1 , 2)

13. Suppose ƒ(x) = 3x² - 2x: Find ƒ(-4).

A. -56

B. -40

C. 40

D. 56

14. Mrs. Jennings wants to take her class on a fieldtrip to the museum. The bus will cost a total of $100 and the museum will charge $2 per student. What is the maximum number of students that Mrs. Jennings can take to the museum without exceeding her budget of $150?

A. 20

B. 25

C. 50

D. 100

15. If ƒ(x) = 4x - 11, what is the value of ƒ(5)?

A. 20x - 55

B. 34

C. 9

D. 4

16. The Gaussian lens formula is 1/u + 1/v = 1/f, where u is the distance from the lens to the object, v is the distance from the lens to the image, and f is the focal length of the lens. Which of these is the equation solved for f?

A. f = 1/u + v

B. f = uv/u + v

C. f = u + v/uv

D. f = u + v

17. The principle of conservation of momentum states that m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂, where m₁ and m₂ are the masses of two objects colliding, u₁ and u₂ are the initial velocities of the objects, and v₁ and v₂ are the final velocities of the objects. Which of these is the equation solved for m₁?

A. m₁ = m₂u₂ - m₂v₂/u₁ - v₁

B. m₁ = m₂v₂ - m₂u₂/u₁ - v₁

C. m₁ = m₂u₂ - m₂v₂/u₁ + v₁

D. m₁ = m₂v₂ - m₂u₂/u₁ + v₁

18. The inflation rate can be calculated by dividing the difference between the Consumer Price Index of today and the Consumer Price Index of one year ago by the Consumer Price Index of one year ago. Suppose you know the inflation rate and the Consumer Price Index of one year ago. How can you find the Consumer Price Index of today?

A. Multiply the Consumer Price Index of one year ago by the inflation rate.

B. Multiply the Consumer Price Index of one year ago by the difference between the inflation rate and Consumer Price Index of one year ago.

C. Multiply the Consumer Price Index of one year ago by the difference between Consumer Price Index of one year ago and the inflation rate.

D. Multiply the inflation rate by the Consumer Price Index of one year ago and add the Consumer Price Index of one year ago to the product.

19. Twenty babies were born in one week in the maternity ward of a hospital. The weight of each baby to the nearest pound is listed below.

5, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10

Which of the following dot plots represents the distribution of the babies' weights that week?

20. The distribution of the gas mileage of a fleet of cars is shown in the following chart.

Miles per Gallon	Number of Cars
28	2
29	3
30	8
31	5
32	2

Which box-and-whisker plot corresponds to this distribution?

21. Given the scatterplot below, which of the following functions is the best approximation for the least-squares regression line?

A. y = 9x + 22

B. y = 3.5x + 17

C. y = 1.5x + 15

D. y = 4.5x + 13

22. A circle is defined as

A. a flat surface extending in all directions.

B. all points between and including two given points.

C. a closed plane figure in which all sides are line segments.

D. the set of all points that are a fixed distance from a given point.

23. Perpendicular lines are two distinct coplanar lines that intersect to form what type of angle?

A. acute angle

B. corresponding angle

C. obtuse angle

D. right angle

24. What is the definition of an angle?

A. a part of a line starting at a particular point and extending infinitely in one direction

B. the set of all points that are a fixed distance from a given point

C. all points between and including two given points

D. two rays sharing a common endpoint

25. How many times do parallel lines intersect?

A. 0

B. 1

C. 2

D. 3

26. "Two rays sharing a common endpoint" is the definition of which term?

A. angle

B. chord

C. line segment

D. secant

27. Determine which figure below has been rotated 270° clockwise about the origin.

28. William needs to translate ΔLMN by the rule (x, y) → (x - 4, y + 7). Which of the following graphs represents that translation?

29. The number of math homework problems given each night for 18 nights is shown below.

8, 9, 9, 9, 10, 11, 11, 11, 11, 14, 14, 15, 15, 16, 17, 17, 17, 18

Which box plot correctly displays the given data?

30. A scientist is studying bacteria and records the number of bacteria over time. The scientist determines that the function N(t) = 300(1.30)^t models the number of bacteria, N, after t hours.

Which statement correctly interprets this model?

A. The number of bacteria is originally 30 and increases by 300 every hour.

B. The number of bacteria is originally 300 and increases by 30 every hour.

C. The number of bacteria is originally 30 and increases by 300% every hour.

D. The number of bacteria is originally 300 and increases by 30% every hour.

31. A store manager records the price and number of TVs sold in a store. The data is shown in the scatter plot below.

Which of the following scatter plots shows a line of best fit for these data?

32.

In order to predict future housing needs the population of two towns, Appletown and Callwood, have been monitored and plotted on a graph for the past four years. The results are shown on the graph above.

If both towns continue to grow at their current rates, which town will have the largest population at year 10 of the study?

A. Appletown because it is increasing linearly.

B. Appletown because it is increasing exponentially.

C. Callwood because it is increasing linearly.

D. Callwood because it is increasing exponentially.

33. A college professor surveyed his class to see how many hours each student studied. The professor used each student's grade with how many hours they studied to create a scatter plot of the data. He determined that the correlation coefficient was 0.90.

Select the true statement based on the professor's correlation coefficient.

A. There is a weak correlation between the number of hours studied and the student's grade.

B. There is no correlation between the number of hours studied and the student's grade.

C. There is a strong correlation between the number of hours studied and the student's grade.

D. There is a negative correlation between the number of hours studied and the student's grade.

34. A triangle with coordinates A(1, 1), B(4, 2), C(3, 5) is translated three units down and five units to the left. What are the coordinates of the new triangle?

A. A'(-2, -4), B'(1, -3), C'(0, 0)

B. A'(-4, -2), B'(-1, -1), C'(-2, 2)

C. A'(-4, -2), B'(-7, -3), C'(-6, 0)

D. A'(-4, -2), B'(-1, -3), C'(-2, -6)

35. Which of the following methods correctly shows how to solve the system of equations below?

x + y = -1

2x + y = 5

A. Multiply x + y = -1 by 5 to make an equivalent equation and add the equation 2x + y = 5.

B. Multiply x + y = -1 by -1 to make an equivalent equation and add the equation 2x + y = 5.

C. Multiply 2x + y = 5 by 5 to make an equivalent equation and add the equation x + y = -1.

D. Multiply 2x + y = 5 by -2 to make an equivalent equation and add the equation x + y = -1.

36. What is the solution to the system of equations shown below?

2x + 3y = 6

4x + 6y = 4

37. A right circular cylinder is shown below.

Which of the following could be a two-dimensional figure that results when a plane intersects this right circular cylinder? Select three that apply.

A. circle

B. ellipse

C. triangle

D. rectangle

Reference no: EM131072413

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