Grade 81Common Core Assessment Readiness

Name______Date______Class______

8.EE.4

Name______Date______Class______

SELECTED RESPONSE

Select the correct answer.

1.Write the sum 3.75  107 7.1  106in scientific notation.

2.Write the difference 0.073  5.1  103 in scientific notation.

3.Write the product (8.4  104)(9.5  103) in scientific notation.

4.Write the quotientin scientific notation.

5.When you use a calculator to find
(4.1  103)(3.2  106), what result
does the calculator display?

1.312E81.312E10

1.312E61.312E12

Select all correct answers.

6.Identify all of the following values that are equivalent to 0.35  1.5  103.

1.853.515  101

0.35151.85E3

1.85  1033.515E1

7.Identify all of the following values that are equivalent to

3  10730,000,000

3  1073E7

0.00000033E7

Match each number with its calculator notation equivalent.

____ 8.9.8  104
____ 9.0.000098
____ 10.9.8 106
____ 11.9.8 107
____ 12.980,000,000 / A9.8E6
B9.8E8
C9.8E4
D9.8E7
E9.8E9
F9.8E5

CONSTRUCTED RESPONSE

13.An electronic component measures
1.2105 m by 1.5104 m. Find the area of this component in square millimeters, and express your answer using scientific notation. Show your work.

______

14.Simplify Show
your work.

______

15.A company produces plastic discs for use in other products. The company produces 2  107 discs daily, each 1.55 mm thick.

a.If the discs from one day’s production were stacked one on top of the other, how tall would the stack be?

______

b.Use the results from part a and the facts that 1 km  1000 m and
1 m  1000 mm to find the height of the stack in meters and kilometers.

______

c.Which unit is most appropriate to use for the height of the stack? Explain.

______

16.Suppose a grain of dust is in the shape of a sphere with a radius 2  107 m. What is the volume of the dust grain? Use the volume formula with 3.14 as an approximation for . Write your answer in scientific notation rounded to two decimal places.

______

17.Suppose a person drinks 8 glasses of water per day and each glass contains
3  102mL of water.

a.How many milliliters of water does the person drink in 10 years? Use 365 days per year and express your answer using scientific notation.

______

b.Of the units milliliters and liters, which is the more appropriate unit for this measurement? Explain your answer.

______

18.A computer store sells a flash drive that stores 2 gigabytes of data and another that stores 750 megabytes. Which flash drive should you purchase if you need to store a file that uses 9.65  107 bytes of storage space as well as 12 files that use 7.5  107 bytes each? Show your work. Use the facts that 1 gigabyte 109 bytes and 1 megabyte 106 bytes.

______

19.On a recent math test, Alessandro was asked to simplify and write his answer in standard form. Alessandro used a calculator and determined the answer to be 1.15E6, which he wrote as 0.000000115. His answer was marked incorrect.

a.Simplify .
Write your answer in standard form.

______

b.Compare your result from part a to Alessandro’s answer and describe his likely error.

______

20.The Sun has a mass of 1.989 1030 kg and a diameter of 1,390,000 km. Earth has a mass of 5.972  1024 kg and a diameter of 12,756 km. Assuming the Sun and Earth are spheres, determine which has greater average density. Justify your answer. (Use the volume formula with 3.14 as an approximation for . Also use the average density formula where m is the mass and V is the volume.)

8.G.1a

Grade 81Common Core Assessment Readiness

Name______Date______Class______

SELECTED RESPONSE

Select the correct answer.

1.Point A is located at (4, 2), and point B is located at (1, 2). What is the length of the image of when is translated 5 units right and 2 units down?

2.Point A is located at (5, 5), and point B is located at (0, 5). is rotated counterclockwise 90 about the origin. What are the coordinates of points A and B, the images of points A and B after the rotation?

A(5, 0); B(5, 5)

A(5, 5); B(5, 0)

A(5, 5); B(5, 0)

A(5, 0); B(5, 5)

3.The graph below shows What is the length of which is the reflection of across the y-axis?

Grade 81Common Core Assessment Readiness

Name______Date______Class______

has endpoints A(2, 4) and B(7, 4). Match each transformation of with the endpoints of the corresponding image.

____ 4.Reflection across x-axis
____ 5.Reflection across y-axis
____ 6.Clockwise rotation 90 about the origin
____ 7.Translation 4 units to the right
____ 8.Translation 2 units down / AA(2, 4) and B(7, 4)
BA(2, 4) and B(3, 4)
CA(2, 4) and B(7, 4)
DA(2, 4) and B(7, 4)
EA(4, 2) and B(4, 7)
FA(2, 2) and B(7, 2)
GA(2, 4) and B(7, 4)
HA(4, 2) and B(4, 7)

Grade 81Common Core Assessment Readiness

Name______Date______Class______

CONSTRUCTED RESPONSE

9.The endpoints of are A(8, 3) and B(5, 3). The segment is translated right 3 units, then down 5 units, then left
3 units, and finally up 5 units.

a.Find the coordinates of the endpoints for each translation using different consecutive letters of the alphabet to name each translated endpoint.

______

b.What do you notice about the coordinates after the last translation?

______

10.The graph below shows Gale rotates clockwise 90 about the origin and then translates the result 2 units down. He calls this which is also shown on the coordinate plane. Is Gale’s work correct? If not, state what transformations Gale must have performed, and then draw the correct transformed segment. What do you notice about the orientation and length of the transformed segment?

______

11. is a horizontal line passing through the point (0, 3). If is reflected across the x-axis, what point on the y-axis, if any, will it pass through? Is the image of horizontal, vertical, or neither?

______

12.The equation of is x2.

a.If is rotated 90 clockwise about the origin, what is the equation of the resulting line?

______

b.If is rotated 180 clockwise about the origin, what is the equation of the resulting line?

______

13.The endpoints of are A(a, b) and B(a, c) for positive numbers a, b, and c.

a.What are the endpoints of the image of after a reflection across the
y-axis?

______

b.What are the endpoints of the transformed segment from part a after a 90 counterclockwise rotation about the origin?

______

c.What are the endpoints of the transformed segment from part b after a translation 2a units down?

______

d.For what rotation of is the image the same as the transformed segment from part c?

______

Grade 81Common Core Assessment Readiness

Name______Date______Class______

Grade 81Common Core Assessment Readiness