3rd Nine Weeks Review

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3rd Nine WeeksReview

• MATH 7

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Problem 1

• Which answer is an example of a dilation of the
  figure below?
• a. b.
• c. d.

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Problem 2

• A picture of a star is placed on a coordinate
  plane. It undergoes a 150 dilation with respect
  to the origin. One point of the star originally
  had coordinates of (2,4). What are the
  coordinates of the dilated image of this point?
• a.( 2,6) b. (3,4)
• c. (3,6) d. (152, 154)

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Problem 3

• What kind of transformation is represented on the
  coordinate plane?
• a. dilation b. reflection
• c. rotation d. translation

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Problem 4

• Given coordinates (1,3), (-2,6), and (4,5), what
  would be the new coordinates with a scale factor
  of ?
• a. (1,1.5), (-2,3), (4,2.5)
• b. (0.5,3), (-1,6), (2,5)
• c. (0.5,1.5), (-1,3), (2,2.5)
• d. (2,6), (-4,12), (8,10)

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Problem 5

• A triangle has an area of 4 square
• cm. and a similar triangle has an
• area of 36 square cm. What is the
• scale factor for these similar
• triangles?
• a. 36 b. 9
• c. 4 d. 3

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Problem 6

• Stacey decides to dilate the area
• of her garden. The original length
• of the garden is 12 feet and the
• area is 78 square feet. The length
• of the new garden will be 18 feet.
• What will be the area of the new
• garden?
• a. 2.7ft² b. 52ft²
• c. 84ft² d. 117ft²

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Problem 7

• A 4 by 6 photograph was
• reduced to a 2 by 3 photograph
• for a wallet. What scale factor was
• used to reduce the photograph?
• a. 2 b. 1.5
• c. 1 d. ½

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Problem 8

• A triangle has 2 congruent sides
• that are x centimeters long. The third
• side measures 3 centimeters more
• than each of the congruent sides.
• Which expression could be used to
• represent the perimeter in centimeters
• of this triangle?
• a. 4x6 b. 3x6
• c. 3x3 d. 2x3

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Problem 9

• If ?DEF is congruent to ?ABC,
• which angles are corresponding
• angles?
• a. lta and ltd b. ltb and ltf
• c. lta and ltf d. lta and lte

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Problem 10

• If ?GHI?JKL, you could
• conclude that
• a. b.
• c. d.

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Problem 11

• A land lot has an area of 50 sq.ft.
• A similar land lot has an area of
• 200 sq.ft. What is the scale factor
• for these similar land lots?
• a. 150 b. 16
• c. 4 d. 2

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Problem 12

• Two rectangles are similar to each
• other. The length of one rectangle is
• 32cm. The length of the similar
• rectangle is 40cm. What is the ratio of
• the area of the smaller length rectangle
• to the similar larger length rectangle?
• a. 1.5625 b. 1.25
• c. 0.8 d. 0.64

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Problem 13

• Choose the phrase that would
• complete the statement
• Two figures are similar if
• they_________.
• a. have the same size, but not the same shape
• b. have neither the same size nor the same shape
• c. have the same shape, but not the same size
• d. none of the above

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Problem 14

• The pentagons below are similar.
• If the area of the larger pentagon
• is 100sq.ft., what is the area of the
• smaller pentagon?20ft12ft
• a. 36ft² b. 60ft²
• c. 92ft² d. The area cannot be determined

12ft
20ft
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Problem 15

• In the diagram below,
• What is the ratio of the area of PQR to the area
  of
• LMN?
• a. 1 b. 0.25
• c. 0.5 d. 4

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Problem 16

• If y6 and x4, what is the value
• of y when x varies inversely and is
• equal to 8?
• a. 12 b. 8
• c. 4 d. 3

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Problem 17

• Which graph shows the solution to
• the equation y ?
• a. b.
• c. d.

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Problem 18

• Mr. Scotts garden measures
• 20yds by 15yds. If fertilizer comes
• in 5 lb. bags and 1 bag covers 300
• square feet, how many bags will
• he need to fertilize the entire
• garden?
• a. 54 b. 18
• c. 9 d. 1

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Problem 19

• Which statement best represents the
• equation y ?
• a. The equation is a direct proportion, but not
  an inverse proportion.
• b. The equation is an inverse proportion, but
  not direct proportion.
• c. The equation is both a direct proportion and
  an inverse proportion.
• d. The equation is neither a direct nor inverse
  proportion.

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Problem 20

• Which graph represents an inverse
• proportion?
• a. b.
• c. d.

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Problem 21

• Given the equation y4x, which of
• the following statements is correct?
• a. The equation represents a direct
  proportion.
• b. The equation represents an inverse
  proportion.
• c. The equation represents both a direct and
  inverse proportion.
• d. The equation represents neither a direct or
  inverse proportion.

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Problem 22

• y varies directly with x. If y6 and
• x2, what is the value of y when
• x5?
• a. 60 b. 15 c. 2.4 d. 1.67

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Problem 23

• Alex rides his bike from school to
• home in 30 minutes traveling
• 20mph. Today he needs to get
• home 5 minutes faster. How fast
• must he ride his bike?
• a. 37.5mph b. 28mph
• c. 24mph d. 16.67mph

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Problem 24

• Tim and Angie are working together on
• a research paper. Tim can type 30
• words per minute and can finish the
• paper in 2.6 hours. Angie can type 22
• words per minute. How long will it take
• to the two of them working together to
• type the paper?
• a. 6.76hrs b. 1.9hrs c.1.5hrs d. 0.3hrs

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Problem 25

• The following 4 coordinates are
• connected points on a coordinate
• plane (2,3), (1,6), (3,2), (6,1). Which of
• the following answers best represents
• the connected points?
• a. inverse proportion
• b. direct proportion
• c. neither a direct nor inverse proportion
• d. both a direct and inverse proportion