Unit 7 Test Review – Exponents and Scientific Notation Name__________________ Class_____ Date______
Find the mistake - The following problems have been solved HOWEVER there could be a mistake.
Each question is worth 3 points: 1pt – Circle the mistake, 1pt-explain what the mistake is, 1pt – solve the
problem correctly
1. Identify the base(s) and exponents(s). Then, write each in expanded form and evaluate.
Circle
Explain
Correct
Explain
Correct
Bases are 3 and 4
Exponents are 2 and 7
2. Simplify the expression
Circle
3. Write the following in scientific notation
Circle
Explain
Correct
Multiple Choice
4. Which shows the expression
expanded notation
a.
b.
c.
d.
in
5. What is the value of the expression
a.
b.
c.
d.
6. Which shows the expression
simplified.
a.
b.
c.
d.
7. The National Park Service manages
approximately 84,000 acres of federal land.
How would you express this number using
scientific notation?
a.
b.
c.
d.
8. Which shows the expression
simplified?
a.
b.
c.
d.
9. How do you write the expression
using exponents?
a.
b.
c.
d.
Free Response
10. Simplify each expression
a.
b.
c.
d.
11. Rewrite the given expression as power without a negative exponent. Then determine the value of the
expression.
a.
c.
b.
d.
12. Write the number in either scientific notation or standard notation
a. The least distance of the dwarf planet from the Sun is
b. The diameter of a bacterial cell called a mycoplasma is about
c.
=
d. 3,024,000 =
13. Simplify each using the properties of powers.
a.
b.
c.
c.
d.
14. Identify the property that justifies each step to simplify the expression.
15. Simplify each expression using the properties of powers. Express your answers using only positive
exponents.
a.
b.
Review
16. Solve the following equation
16. Graph the following equation
17. State the domain and range of the following relations and state whether it is a function
a.
b.
x
y
-2
1
3
4
2
6
-2
1
4
-4
18. Given the piece of information fill in the rest of the table
Equation:
Story:
Admission to a zoo costs $8 for Adults and $5 for children. A group of 32 people attending the zoo
paid a total of $196 in admission fees.
Table:
Graph
x
y
Solution
Solve the system.
x
y
Interpret you solution in the context of the problem.
19. Describe the pattern in the sequence. And write the next term.
5, 25, 625, 390625
20. For the following graph describe the story that could have created the graph. Include intervals in increase,
decrease, constant and what they mean in context of the story.
21. Convert the following into either a fraction or a decimal
a.
b.