Georgia Online Formative Assessment Resource (GOFAR)
8th Grade Spring Break Packet
Name:____________________________
Date: ____________________________
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1. Which expression equals(4xy2z3)2?
A)4x2y4z6
B)8x2y4z6
C)16x2y4z6
D)16x3y4z5
2. What does
equal?
A)
B)
C)
D)
3. What is another way to express 4 ?
A)
B)
C)
D)
4.
Joanne has 2a3 number of animals. Ronnie has 3a3 number of animals. Odessa has a4 number of animals.
How many animals do Joanne, Ronnie, and Odessa have altogether?
A)5a10
B)6a
10
C)5a3 + a4
D)6a3 + a4
5. If
what is the value of x?
A)2
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B)4
C)6
D)8
6. If
what does
equal?
A)10x
B)
C)
D)
7. Find the value of 3x-2x2 when x = -3.
A)-27
B)-18
C)0
D)9
8.
A square-shaped playground has an area of 290 ft2. Approximately, how long is one side of the
playground?
A)12 ft
B)17 ft
C)36 ft
D)73 ft
9.
Why is one of the square roots of any positive number less than zero?
A)because a negative number times a negative number is a positive number
B)because a negative number times a negative number is a negative number
C)because a negative number times a positive number is a negative number
D)because a negative number times a positive number is a positive number
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10.
Jordan drove a3 miles per hour for a5 hours. How far did Jordan drive?
A)a2 miles
B)a8 miles
C)a12 miles
D)a15 miles
11. Which of the following best represents
? A number between —
A)3 and 4
B)6 and 7
C)7 and 8
D)8 and 10
12. Write .063 x 10-6 in scientific notation.
A)6.3 x 10-4
B)6.3 x 10-8
C)63,000
D).000000063
13.
Alyssa estimated that there are five hundred twenty billion grains of sand on a beach. How is this number
written in scientific notation?
A)5.2 × 109
B)5.2 × 1010
C)5.2 × 1011
D)5.2 × 1012
14.
China has a population of approximately 1.3 x 109 people. The United states has a population of
approximately 3 x 108 people. How many more people live in China than in the United States?
A)107 people
B)108 people
C)109 people
D)1010 people
15.
A water tower holds 2,340,000 gallons of water. Express this number in correct scientific notation.
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A)2.34 × 10-6
B)23.4 × 105
C)2.34 × 106
D)2.34 × 107
16.
Which expression below represents 456.8 in scientific notation?
A)4.568 × 102
B)45.68 × 101
C)456.8 × 100
D)4568.0 × 101
17. Which of the following is the graph of a line with a slope of 1?
A)
B)
C)
D)
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18. The slope of the line through points (1, 1) and (1, 2) is:
A)zero
B)negative
C)positive
D)undefined
19. A city has set up a committee to estimate the area's population growth. Below is a graph of the
population increase in recent years.
What will be the population in 2005 if this growth rate continues?
A)290,000
B)300,000
C)320,000
D)340,000
20.
What is the slope of the line on the graph below?
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A)-
B)-
C)
D)
21.
Which algebraic expression corresponds to “half of the sum of 3x and 4”?
A)6x
B)3x + 2
C)
(3x) + 4
D)
(3x + 4)
22. Which of these sets of ordered pairs would define a line with a negative slope?
A)(5, 5) (0, 1)
B)(2 ,3) (-4, -1)
C)(3, 6) (5, 1)
D)(2, 3) (7, 6)
23.
Michael runs 3.5 miles in 30 minutes. If he continues at this rate for 2 hours, determine his rate of change.
A)3.5 miles/hour
B)7 miles/hour
C)14 miles/hour
D)10 miles/hour
24. Use this figure to answer the question.
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Which line in the figure above has a y-intercept of 3 and a slope of
?
A)j
B)k
C)l
D)m
25. The balance below shows the equation
. What is the value of x?
A)
B)2
C)
D)3
26.
Simplify:
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A)
B)
C)
D)
27. Linda is one year less than twice as old as her brother Paul. Which formula below correctly represents this situation?
A)L = 1 – 2P
B)L = 2(P – 1)
C)L = 2P – 1
D)L =
(P – 1)
28. If the equations y = 3x + 5 and y = 3x – 5 were graphed, which statement below would be true?
A)The two lines will be parallel.
B)The two lines would intersect at the origin.
C)The two lines would intersect at right angles.
D)The two lines would intersect at the point (5,-5).
29. In the equations below,ais the price, in dollars, of an adult ticket to a school play, andsis the
price of a student ticket.
5a + 3s = 42
3a + s = 22
What is the price of an adult ticket to the play?
A)$4
B)$5
C)$6
D)$10
30. What value of x satisfies the system of equations below?
A)9
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B)6
C)3
D)–2
31. In a game, the two players scored a total of 121 points. One player had 13 more points than
the other player. How many points did the player with the fewer points score?
A)52
B)54
C)67
D)108
32.
Given the system of the following two linear equations:
x + 2y =
7
3x-y = 2
What would be the first step in eliminating the variable y?
A)Multiply the second equation by 2.
B)Add the two equations.
C)Add 5 to both sides of the second equation.
D)Rewrite the equations so that y is on the right side.
33. Given the system of the following linear equations:
2x – 3y =
12
5x + 4y =
7
Solve for x and y.
A)(-2, 3)
B)(-2, -3)
C)(3, 2)
D)(3, -2)
34. The solution set for a pair of equations is (3,-1). One of the equations is
2y = x – 5. Which of the following could be the other equation?
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A)4y = 2x
B)y = x + 2
C)y = x – 4
D)2y = x+3
35.
What are the x and y values in this system of equations?
2x + 4y = 8
2y = x + 8
A)(-2, 1)
B)(-2, 3)
C)(-4, 2)
D)(-4, 4)
36.
Amy needed to rent a car for a day so she researched two rental companies. Company A charges a flat rate of $25 plus $0.15 for every
mile she drove the car. Company B charges a flat rate of $50 plus $0.05 for every mile she drove the car. If Amy had to drive a total of
370 miles, which rental car company would be a better deal and by how much?
A) Company A by $12
B) Company A by $80.50
C) Company B by $12
D) Company B by $68.50
37.
Sophia has 8 books in her locker. All the books are either school books or personal books. She has three
times as many school books than personal books. How many school books does Sophia have in her locker?
A)2
B)3
C)6
D)7
38. Which list of ordered pairs is NOT a function?
A){ (1, 1), (2, 3), (3, 4), (4, 5) }
B){ (1, 1), (2, 2), (3, 3), (4, 4) }
C){ (1, 1), (3, 1), (4, 2), (5, 3) }
D){ (1, 1), (1, 3), (2, 3), (3, 4) }
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39. What is the equation of the line passing through the points (5, 5) and (5, 10)?
A)x= 5
B)y= 5
C)y = x+ 5
D)y = x+ 10
40.
When graphed, which situation's data would be linear?
A)The temperature of the roof of a house every hour for 24 hours.
B)A person's body temperature every hour for a year.
C)The temperature of water rising 3°F every hour.
D)The daily temperature of a city for a year.
41. Jerald created the following chart to track the amount of dog food his dog ate. Use his chart
to answer this question.
Day Number Amount of Dog Food Used
(x)
(y)
0
0
3
2
6
4
If Jerald starts out with 20 pounds of dog food, which equation represents how much dog food (y) wil
A)
B)
C)
D)
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42. In the table below,fis a linear function.
Whenx= 8,what is the value off( x)?
A)19
B)20
C)22
D)26
43. Which graph shows the line that goes through the point (3,- 1) and has ay-intercept of- 4?
A)
B)
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C)
D)
44.
The percentage of wheat grain eaten by mice in a farmer's field is shown below.
Which of the following is the most likely percentage in
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2005?
A)0
B)14
C)25
D)45
45.
Fill in the blank. All ___________ are either similar or congruent to each other.
A)circles
B)triangles
C)rectangles
D)parallelograms
46.
The triangles shown are congruent. Which of the following two sides MUST be proportional?
A)CM and SV
B)CM and MT
C)CT and VU
D)CT and MT
47. Look at the triangles below.
Which of these triangles are most likely similar?
A)1 and 2
B)1 and 3
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C)2 and 3
D)3 and 4
48.
Susan has two boxes. Each box is 12 cm high, 12 cm long, and 12 cm wide. Which statement describes
Susan's boxes?
A)The boxes are congruent, but not similar.
B)The boxes are similar, but not congruent.
C)The boxes are similar and congruent.
D)The boxes are only similar.
49.
Alyssa is building a birdhouse. She needs a right triangle for the roof. Which triangle should Alyssa use?
A)
B)
C)
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D)
50.
A right triangle is shaded in the diagram. The area of two squares is shown. What is the area of the third
square?
A)21 ft2
B)35 ft2
C)441 ft2
D)1,241 ft2
51. What is the measure of the missing side of the sail?
A)18 feet
B)20 feet
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C)22 feet
D)24 feet
52. What is the length of a diagonal of a rectangle with length 12 and width 5?
A)7
B)13
C)17
D)60
53. Using the measures shown in the sketch, what is the length of the section of the ladder from the point
where it rests on the ground to the point where it touches the house?
A)4.8 ft.
B)7 ft.
C)17 ft.
D)23 ft.
54. To secure a telephone pole, a steel cable will be attached to a ring on the pole 12 feet above the ground.
If the cable is 15 feet long, how far from the base of the pole will the other end of the cable be anchored?
A)3 feet
B)9 feet
C)12 feet
D)15 feet
55.
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Sue left her house traveling due west towards the store. After 50 yards she traveled due north 120 yards to
the store. When she left the store she cut across the field and traveled along a straight path. How much
shorter was the path Sue took home then the path she took to the store?
A)40 yards
B)61 yards
C)70 yards
D)109 yards
56. Seth can either ride his bike or walk to school. He can ride at 5 mph for 0.6 miles on Elm
Street and then 0.8 miles on Maple Street, or he can walk at 2 mph on the walking trail.
How much longer should it take Seth to walk to school than to ride his bike?
A)0.2 hours
B)0.22 hours
C)0.28 hours
D)0.4 hours
57. The locations of a student's house and two markets are shown on this coordinate plane.
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Each unit represents one mile. To the nearest 0.1 mile, how much closer is Farmer's Garden than Prod
A)0.4 mile
B)0.7 mile
C)1.8 miles
D)2.9 miles
58. This coordinate plane shows the locations of two campsites.
The campground owner plans to install a water tap at a location that is equidistant from the two camp
A)
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B)
C)
D)
59. Quadrilateral
is shown on this coordinate plane.
What is the length, to the nearest unit, of diagonal
A)8
B)10
C)12
D)14
60. On this coordinate plane, line
represents a bike path.
Each unit represents 2 yards.
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A deer is grazing at point
What is the shortest distance between the deer and the bike path?
A)8 yards
B)10 yards
C)12 yards
D)16 yards
61.
Ryan's house lies 6 miles due east of Adrian's house. Adrian's house is
8 miles due south of Frank's house.
What is the shortest distance from Frank's house to Ryan's house?
A)8 miles
B)10 miles
C)14 miles
D)24 miles
62.
The shape of the moon is most like
a
A)cone.
B)cylinder.
C)pyramid.
D)sphere.
63.
A tennis ball is most like
a
A)circle.
B)cone.
C)cylinder.
D)sphere.
64.
Which of the following items is best described as a
sphere?
A)pizza
B)soda can
C)cereal box
D)tennis ball
65. What is the volume of the cylinder?
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A)138.16 cm3
B)276.32 cm3
C)552.64 cm3
D)2,210.56 cm3
66. The height of this tennis ball can is 26 cm, and its radius is about 4.2 cm.
What is the BEST estimate for the volume of this can?
A)400 cm3
B)900 cm3
C)1,500 cm3
D)1,800 cm3
67.
If you wanted to find out how much water you could pour into a cylindrical bucket, which type of
measurement would you want to calculate?
A)perimeter of the bucket
B)area of the bucket
C)volume of the bucket
D)circumference of the bucket
68.
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Four friends bought ice cream cones. Gabriella's cone had a radius of 2.5 inches, and a height of 3.5
inches. Julie's cone had a radius of 2.5 inches, and a height of 4 inches. Robert's cone had a radius of 2.2
inches, and a height of 5 inches. Luke's cone had a radius of 2.2 inches, and a height of 6 inches. Whose
cone could hold the most ice cream?
A)Gabriella
B)Julie
C)Robert
D)Luke
69.
Leonardo is making gift packages. He has a cone shaped package and a cylindrical package. The cone and
cylinder have the same radius and height. He wants to use the package with the greatest volume. Which
package should Leonardo use?
A)the cone
B)the cylinder
C)The cone and cylinder have equal volumes.
D)There is not enough information to tell.
70.
A beverage company wants to see if a new cylinder can design will hold more juice than the old rectangu
lar prism design. They know that the radius of the new can is 2 inches and the height is 5 inches. The
length of the old carton is 4 inches, the width is 3.2 inches and the height is 7.7 inches. Which container
holds more juice?
A)The containers hold equal amounts of juice.
B)The volume of the new container is 62.8 cubic inches
C)The new container holds more juice than the old container.
D)The old container holds more juice than the new container.
71.
A cylindrical container has a radius of 6cm. The container is holding 255 cm3 of water. Rounded to the
nearest quarter inch, what is the MINIMUM height of the container?
A) cm
B)7 cm
C)
cm
D)
cm
72.
Mary needs to buy a cylindrical trashcan liner that will fit into her trashcan. She knows that her trashcan
has a volume of 300 cubic units and the diameter of her trashcan is 16 units. How high does the liner need
to be to fit into her trashcan. Round your answer to the nearest whole number.
A)0 units high
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B)1 unit high
C)2 units high
D)5 units high
73.
Jenny wanted to know if people were more likely to beep their horns at a certain time during the day. One
night she recorded the number of times she heard a car horn during one hour intervals. What should be the
value of the missing y-coordinate so that the data can be modeled with a linear function?
A)24
B)25
C)26
D)27
74. Which equation describes the line through pointsAandB?
A)
B)
C)
D)3x + y = 5
75.
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Jane charges $15 for each lawn she mows plus $5 per hour she works. Which graph models how much Jane
charges for any one lawn?
A)
B)
C)
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D)
76. Ashley is making a skateboard ramp in the shape of a triangular prism. The figure shows three dimensions of the ramp.
What is the missing dimension in inches, x, of Ashley’s skateboard ramp?
A)22
B)26
C)27
D)34
77. Argentina has a population of approximately
people, and Switzerland has a population of
approximately
people. How many times greater is Argentina’s population than Switzerland’s?
A)2
B)4
C)5
D)7
78. The figure shows part of a stepladder with two steps. Each step is parallel to the ground and attached to a diagonal rod.
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Which conclusion is true based on the given information and angle relationships?
A)The value of x is 80 because vertical angles are congruent.
B)The value of x is 80 because adjacent angles are congruent.
C)The value of y is 100 because vertical angles are supplementary.
D)The value of y is 100 because alternate exterior angles are supplementary.
79. Which expression is equivalent to
A)
B)
C)
D)
80. If
what is the value of x?
A)
B)
C)1
D)3
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