Download Unit 4 Self-Efficacy Assessment Listed below are types of math

Unit 4 Self-Efficacy Assessment
Listed below are types of math problems which you will be exposed to during the fourth
unit of this course. We would like you to quickly look at each problem (don’t actually solve
it) and then, using the rating scale described below, circle then number on the scale next to
each problem that accurately describes how confident you are in your ability to solve that
type of problem.
Scale:
0-----1-----2-----3-----4-----5-----6-----7-----8-----9
no confidence
some confidence
Complete
at all
confidence
1. Solving Logarithmic Equations
Ex: Solve this equation:
log6 (x2 - 5x) = 1
0
1
2
3
4
5
6
7
8
9
2. Express the sum of Two Logarithms as a Single Logarithm
Ex: Express as a single logarithm:
3 log 6 x + 5 log 6 (x - 6)
0 1 2 3 4
5
6
7
8
9
3. Change of Base Formula
Ex: Use the Change-of-Base Formula and a calculator to evaluate the logarithm.
Round your answer to three decimal places:
log 7 13.35
0
1
2
3
4
5
6
7
8
9
4. Solving Real-World Problems Modeled Using Exponents
Ex: The half-life of a radioactive element is 130 days, but your sample will not be
useful to you after 80% of the radioactive nuclei originally present have
disintegrated. About how many days can you use the sample?
0
1
2
3
4
5
6
7
8
9
5. Sum and Difference of Logarithms
Ex: Write as the sum and/or difference of logarithms. Express powers as factors.
Log6
0
1
2
3
4
5
6
7
8
9
6. Determine an Exponential Function From a Graph
Ex: Determine the exponential function whose graph is given.
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
7. Solving Exponential Equations
Ex: Solve this equation:
2x2 - 3= 64
8. Changing Exponential Expressions to Logarithmic Expressions
Ex. Change the exponential expression to an equivalent expression involving a
logarithm:
4-2 =
0
1
2
3
4
5
6
7
8
9
9. Changing a Logarithmic Expression to an Exponential Expression
Ex: Change the logarithmic expression to an equivalent expression involving an
exponent:
log4 x = 2
0 1 2 3 4 5 6 7 8 9
10. Graphing an Exponential Function
Ex: Graph this function: f(x) = 2(x - 3) + 1
0
1
2
3
4
5
6
7
8
9