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Practice NYS Assessment- Spring Break Assignment Math 8

Your brain is a muscle- if you don’t use it, you lose it! This packet should be completed over spring break. It will be graded as a take home test! This will help you prepare for the upcoming NYS assessment. (This year, the assessment will be on April 25, 26, and 27th. We will only have a few class sessions upon your return from the holiday!)

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1) Simplify: 13x + 9y – 2x + 11y

A. 15x + 20y

B. 31xy

C. 22x + 20y

D. 11x + 20y

2)

What is the measure of y?

A. 30 B. 60 C. 120 D. 150

3. Which situation would best describe the expression 2h + 5?

A. Marie is 5 years less than twice Henry’s age, h.

B. Marie is 5 years more than half of Henry’s age, h.

C. Marie is 5 years more than twice Henry’s age, h.

D. Marie is 5 years less than half of Henry’s age, h.

4. In Mr. Jenkin’s science class, the students heated a beaker of water on a burner. When the experiment began, the temperature of the water was 20oC. After 8 minutes, the temperature was 60oC. Sixteen minutes after the start of the experiment, the temperature was 100oC and remained at 100oC for the next eight minutes. Which graph shows the change in temperature of the water in the beaker, y, over time in minutes, x?

[pic]

5. What is the measure of “x” in the diagram below?

A. 23

B. 33

C. 113

D. 157

6. Solve for “x”: 3(x + 2) = 2x + 7

A. 0 B. 1 C. 9 D. -2

7. Which term BEST describes the transformation below?

A. Dilation

B. Reflection

C. Rotation

D. Translation

8. Jerome surveyed 643 skateboarders and found that 209 of them preferred wood skateboards to plastic or aluminum skateboards. Based on the number of people surveyed, what is the most reasonable estimation of the percent of skateboarders who preferred wood skateboards?

A. 10% B. 30% C. 40% D. 50%

9. In the diagram below, line “x” in parallel to line “y”, and “z” is a transversal. Which angles are alternate interior angles?

A. 1 and 5

B. 6 and 8

C. 1 and 2

D. 3 and 7

10. Kevin reflects square ABCD on a coordinate plan over the y-axis to create image A’B’C’D’. Which property changed when he created image A’B’C’D’?

A. The measure of angle ABC

B. The area of square ABCD

C. The position of figure ABCD

D. The perimeter of square ABCD

11. In the diagram below, lines “l” and “m” are parallel. Which equation could be used to solve for “x”?

A. 3x + 21 + 6x + 15 = 90

B. 3x + 21 + 6x + 15 = 180

C. 3x + 6x = 21 + 15

D. 3x + 21 = 6x + 15

12. Simplify the expression: (x2y3)(x4y2)

A. x6y5

B. x8y6

C. 2x8y6

D. 2x6y5

13. What is the equation of a line with a slope of -3 that goes through the point (0, 5)?

A. y = - 3x + 5

B. y = 5x – 3

C. y = 3x + 5

D. y = 5x + 3

14.

What is the measure of angle CPB?

A. 80

B. 90

C. 100

D. 105

15. The distance between two cities on a map was four inches. The map scale states that 1 inch = 40 miles. How far are the cities apart?

A. 10 miles

B. 16 miles

C. 80 miles

D. 160 miles

16. Which inequality represents the statement below?

One more than 2 times n is greater than 21.

A. 2n > 21

B. n + 1 > 21

C. 2n + 21 > 1

D. 2n + 1 > 21

17. Tasha had a coupon for 15% off her purchase. If her purchase was $38, how much money will she save with her coupon?

A. $3.80

B. $5.70

C. $2.53

D. $15.00

18. The following chart shows the package size and price of four different cereals. Which brand is the better buy?

|Brand |Price |Weight |

|Wheat-E-O’s |$1.68 |14 ounces |

|Wheat Rings |$1.80 |9 ounces |

|Yummy Wheat’s |$2.10 |10 ounces |

|Taste-y-wheats |$2.00 |12 ounces |

A. Wheat-E-O’s

B. Wheat Rings

C. Yummy Wheat’s

D. Taste-y-wheats

19. Which of the following equations would have the shape of a parabola when graphed?

A. y = 2x – 7

B. y = x2 + 7x + 12

C. 2x + 7y = 15

D. x2 + y2 = 25

20. Which of the following is a zero slope?

A. y = 3x – 2 B. y = - 4x + 1

C. y = 8 D. x = 2

21. Tony joined a book club. He received 8 free books when he joined. The table below shows the total number of books, n, he had each month, t, since joining the club. Which equation can be used to find the total number of books, n, Tony will have from the book club after t months?

A. n = 8t

B. n = 3t

C. n = 8t + 3

D. n = 3t + 8

22. What is the product of 6x3 and 2x7?

A. 8x10

B. 8x21

C. 12x10

D. 12x21

23. What is the slope between the points (-2, 1) and (1, 7)?

A. ½

B. 2

C. -6

D. – ½

24. In order to ride a roller coaster, you must be at least 48 inches tall. If h is height, which inequality could be used for this situation?

A. h > 48

B. h < 48

C. h > 48

D. h < 48

25. What equation is graphed below?

A. y = 2x + 4

B. y = -2x + 4

C. y = 4x + 2

D. y = - 4x + 2

26. Simplify: (4x3y7)2

A. 8x6y14

B. 8x5y9

C. 16x6y14

D. 16x9y49

27. Robert collects baseball cards. Last year, he had 1200 cards. This year, he has 1000. What is the percent of change of his collection?

A. 17 % decrease

B. 20% decrease

C. 55% decrease

D. 200% decrease

28. Simplify: 2(x – 5) > 18

A. x > 4

B. x > 9

C. x > 12.5

D. x > 14

29. Which situation is best represented by the graph below?

A. The height of a child from age ten to age fifteen.

B. The volume of a balloon as it is filled with air.

C. The amount of gasoline in a cars tank during a five hour trip.

D. The volume of water in a swimming pool as it is being filled.

30. Simplify: 4xy(2xy3 – 5)?

A. 6x2y4 – 9xy

B. 8x2y4 – 20xy

C. 8xy3 – 20xy

D. 6x2y3 – 9xy

31. Simplify:

[pic]

32. What is the greatest common factor of 18x3 and 12x5?

A 2x3

B 12x3

C 6x3

D 6x5

33. Lamar made a tabletop in his shop class. The diagram below shows how he cut the wood:

What is the measure of angle y?

A 45o

B 55o

C 135o

D 145o

34. Evaluate x2 + 3x – 1 for x = - 3.

A. – 19

B. – 17

C. – 1

D. 2

35. A pair of sandals is on sale for 20% off the original price. If the original price is $18, what is the sale price?

A. $3.60

B. $14.40

C. $16.00

D. $21.60

36. Multiply the following expression: - 4 (2x – 3)

A. – 8x – 7

B. – 8x – 12

C. – 8x + 12

D. 8x + 12

37. Andrew graphed the triangle on the coordinate plane below. If he reflects this triangle over the y-axis, what are the coordinates of its image?

A. (-1, -1), (4, -3), (-5, 1)

B. (-1, -1), (-4, -3), (-5, -1)

C. (-1, 1), (-4, 3), (5, -1)

D. (1, 1), (4, 3), (5, 1)

38. Simplify the following expression:

(3x2 + 7) + (2x2 – 4x – 3)

A. 5x2 + 3x – 3

B. 5x2 – 4x + 4

C. 5x2 + 4x + 10

D. 5x2 – 4x + 10

39. Sarah was solving the equation 3x + 12 = 5x. If she subtracts 3x from the left side of the equation, what should she write on the right side?

A. 2 B. 2x C. 8 D. 8x

40. Danielle has $612.83 in her bank account. If she withdraws 15% of her money, which of the following is the BEST ESTIMATE for the amount she withdraws?

A. $6 B. $60 C. $90 D. $150

41. On a map, two cities are 4.5 inches apart. If 0.5 inches = 20 miles, how many miles apart of the two cities in actuality?

A. 4.4 miles B. 18 miles C. 90 miles D. 180 miles

42. Ana drew the two figures on the coordinate plane below. What transformation occurred?

[pic]

43. What equation shows the relationship between x and y in the following table?

A. y = 3x

B. x = 3y

C. y = x + 4

D. x = y + 4

44. Carol wants to earn at least $150 for her charity while running a race. She will earn $20 for participating plus $7 for each mile she runs. If m represents the number of miles she runs, which inequality represents the money Carol wants to earn?

A. 7m + 20 < 150 B. 7m + 20 > 150

C. 20m + 7 < 150 D. 20m + 7 > 150

45. The cost of one burrito, b, and one taco, a, is less than the cost two burritos. Which inequality represents this relationship?

A. b + a < 2b B. b + a < b2

C. 2b < b + a D. b2 < b + a

46. Simplify: 3(x + 2) < 15

A. x < 3

B. x < 7

C. x < 5

D. x < 9

47.

What is the measure of x?

A. 40o B. 90o C. 140o D. 180o

48.

[pic]

What is the measure of angle MKL?

A. 30o B. 60o C. 120o D. 180o

49. What is 73 ( 74 equivalent to?

A. 77 B. 712 C. 497 D. 4912

50. The graph to the right shows the calories in different bagel spreads. How many calories are there in each ounce of cream cheese?

A. 25 cal/oz

B. 50 cal/oz

C. 100 cal/oz

D. ½ cal/oz

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