8th grade GMAS Practice I

A randomly selected person from Ari’s survey is not camping overnight. What is the probability, rounded to the nearest whole percentage, the randomly selected person is attending the music festival on Sunday?

• 41%

• 50%

• 57%

• 69%

A company takes care of cats and dogs overnight when their owners are out of town. The company charges $18 per cat per night and $30 per dog per night. On Saturday night, the company took care of a total of 16 cats and dogs. The system of equations shows the total amount the company charged on Saturday night for the number of cats, x, and the number of dogs, y, that were taken care of.

x + y = 16

18x + 30y = 432

How many cats did the company take care of on Saturday night?

• 12

• 8

• 5

• 4

What is the solution to the system of equation?

x + 4y = 10

3x + 12y = 20

• (3, 12)

• (5, 1¼)

• No solution

• Infinite solutions

Which series of transformation can be used to create the image E′F′G′ from the pre-image EFG?

• a translation 1 unit to the right and a rotation of 180° around the origin

• a rotation of 180° around the origin and a translation 1 unit to the right

• a reflection across the y-axis and a translation 11 units to the left

• a translation 11 units to the left and a reflection across the x-axis

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

What is the value of y in the system of equations?

3x + 4y = 30

3x + 5y = 33

• y = 3

• y = 4

• y = 5

• y = 6

Solve the following equation for y.

y - 3y + 6 = -8

• -7

• 7

• -1

• 0

Which statement describes the transformation that could have been made to the line segment?

• The line segment was dilated by a factor of ½

• The line segment was rotated 180° about the origin.

• The line segment was reflected over the x-axis.

• The line segment was translated 6 units down and 1 unit left.

What are the endpoints after the series of transformations?

• (–3, –4) and (3, 4)

• (–3, –1) and (3, –1)

• (–3, –6) and (3, –6)

• (–3, 4) and (3, 4)

Which two transformations map figure A onto figure B?

• a reflection across the x-axis and a translation 5 units to the right

• a reflection across the x-axis and a translation 1 unit to the right

• a reflection across the y-axis and a translation 1 unit to the right

• a reflection across the y-axis and a translation 5 units to the right

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Which system of equations has exactly one solution?

• 5x – y = –3

  5x – y = –2

• 8x – 3y = –12

  x – 3y = 9

• 2x – 6y = 18

  x – 3y = 9

• x – y = 3

  2x – y = –4