Name______________________________________________________________
7ACC Math
Growing, Growing, Growing
Summative Assessment (Test #1)
No Calculator
I can apply the properties of integer exponents to generate equivalent numerical expressions.
I can evaluate small perfect squares and small perfect cubes.
Directions: Simplify the following expressions. ( 1 point each)
1.
27
24
=_______________
2. 50 = _______________
3. 4−3 = ______________
4. 72 ● 73 =________________
5.
42
45
= __________________
6. 54 ● 24 = _________________
7. (22 )3 = _________________
3
8. √1000 = _______________
2
9. √121 = _______________
1
2
10.
25 = ________
1
3
11.
8 = ______
Mayfield City School District 7ACC Math
2014-2015
12. Explain why the number of zeros in 10𝑛 = n. ( 2 points)
13. Explain why
1
𝑎
= 𝑎−1 (3 points)
I can use scientific notation for measurement of very large and very small quantities.
Write the following in scientific notation. (1 point each)
14.
478,000,000 ____________________
15. 0.0002489____________________
Write the following in standard form. (1 point each)
16.
2.07 x106 ____________________
Mayfield City School District 7ACC Math
17. 1.23 x10-2 ____________________
2014-2015
I can perform operations with numbers expressed in scientific notation, including problems where
both decimal and scientific notation are used.
Solve the following problems. Write your final answer in scientific notation. (1 point each)
18.
3.5×105
7×10−2
= _______________
19. (0.0025)(5.2 × 104 ) = _________________
20. 2.86 × 103 + 4.81 × 103 = _______________
21. 7.92 × 105 − 3.64 × 105 = _______________
22. Through research, scientists found that the body of a 200 lb person consists of 3.2 ×
10−5 lbs of zinc. In the bodies of 1,500 such people, how much zinc is present?
Write your final answer in standard form. Show all work. (3 points)
23. Lake Superior has a volume of approximately 3.05 × 105 km3. Lake Erie has a volume of
approximately 1.22 × 104 km3. How much larger is Lake Superior? Write your final
answer in standard form. Show all work. (3 points)
Mayfield City School District 7ACC Math
2014-2015
I can determine the exponential function that models the situation.
(10 points)
24.
Mayfield City School District 7ACC Math
2014-2015