Pre-Calculus Honors
Semester 1 Midterm Review
Mrs. Iverson
Name ___________________________
Date ______________ Period _______
Some things to remember when studying for the midterm:
1.
This midterm is designed to be taken during one class period and is considered a normal test grade as a percentage out of 100 points.
2.
This midterm will be both multiple choice and short answer. In addition there will be a calculator section and a non-calculator section.
3.
In addition to these example problems, you should also review all previous tests, quizzes, and winks.
4.
This midterm will cover the topics in Unit 1, Unit 2 Part A, and Unit 2 Part B.
Learning Targets covered through October 24, 2013
These are all of the LTs that have appeared in Unit 1, Unit 2 Part A, and Unit 2 Part B. They are all fair game, though it would be impossible for all LTs to appear on the midterm. I would recommend using this as a checklist of
skills to help you identify the topics you need help on, and the topics in which you are confident.
UNIT 1 – PREREQUESITE
P.1
1.1.1: Find the slope given two points
1.1.2: Find the slope given an equation of a line.
1.1.3: Determine the y-intercept from a graph and from the equation of a line.
1.1.4: Interpret what the slope and y-intercept mean in a real life situation
P.2
1.1.5: Write the equation of a line in point slope form and slope intercept form.
1.1.6: Write the equation of a parallel line.
1.1.7: Write the equation of a perpendicular line.
P.3
1.1.8: Write and graph the equation of a vertical line and a horizontal line.
1.2
1.1.9: Identify a function using a set of ordered pairs.
1.1.10: Identify a function using a graph.
1.1.11: Identify domain and range using a set of ordered pairs.
1.1.12: Identify domain and range using a graph.
1.1.13: Use function notation to find the value of y.
1.1.14: Evaluate difference quotients.
1.4
1.1.15: Graph parent functions of a quadratic, cubic, absolute value, and square root.
1.1.16: Shift parent functions (rigid transformations).
1.1.17: Identify non-rigid transformations. (stretch/shrink)
1.1.18: Reflect parent functions
1.1.19: Write the equation given the characteristics or graph of a function.
1.5
1.1.20: Evaluate functions using all operations.
1.1.21: Simplify composite functions. ( ( )) & ( g f )( )
1.1.22: Use function notation to find the value of y given a graph.

1.1.23: Combine functions using all operations.
1.7
1.1.24: Find the regression line equation given a set of points.
1.1.25: Analyze, interpret, and predict using the regression line.
1.6
1.1.26: Find the inverse of the function.
1.1.27: Determine if 2 functions are inverses of one another.
1.1.28: Determine if a function has an inverse function.
1.1.29: Apply an inverse function to a real life example.
1.3
1.1.30: Graph piecewise functions.
1.1.31: Identify the increasing, decreasing, and constant intervals
1.1.32: Determine relative and absolute maximum/minimum
1.1.33: Use function notation to find the value of y given a piecewise function.
UNIT 2 – SPECIAL FUNCTIONS
Unit 2 Part A: Polynomial and Rational Functions
2.1
2.2.1: Convert a quadratic function from standard form to vertex form.
2.2.2: Find the vertex and y-intercept from vertex form.
2.2.3: Find the y-intercept from the standard form.
2.2.*: Write a quadratic equation in standard and vertex form given the vertex and a point.
2.2.**: Apply quadratic equations to real life problems.
2.2
2.2.4: Determine the end behavior given a function.
2.2.5: Determine the degree of the polynomial given the graph.
2.2.6: Solve polynomials using GCF.
2.2.7: Solve polynomials functions by factoring using ABC Method.
2.2.8: Solve polynomials functions by factoring using grouping.
2.2.9: Apply polynomial functions to real life situations.
2.2.***: Write the equation of a polynomial function given the graph.
2.2.****: Write the equation of a polynomial function given the zeros.
2.3
2.2.10: Solve polynomials functions by long division.
2.2.11: Solve polynomials functions by synthetic division.
2.2.12: Use long division to find factors and x-intercepts.
2.2.13: Use synthetic division to find factors and x-intercepts.
2.2.14: Use the graphing calculator to solve polynomial functions
2.4
2.2.15: Add, subtract, multiply, and divide complex numbers.
2.2.16: Simplify expressions with imaginary numbers.
2.2.17: Write complex problems in standard form.
2.5
2.2.18: Determine the number of zeros of a polynomial function.
2.2.19: Find ALL real and imaginary zeros of a polynomial function.
2.2.20: Find conjugate pairs of complex zeros.
2.6/2.7
2.2.21: Use rational functions to model and solve real-life problems.
2.2.22: Find the hole(s) in rational functions.
2.2.23: Find the vertical asymptotes.
2.2.24: Find the horizontal asymptotes.
2.2.25: Find the slant asymptote.
2.2.26: Find the x-intercepts.
2.2.27: Sketch a graph of the rational function.

Unit 2 Part B: Exponential and Logarithmic Functions
3.1
2.3.1: Graph exponential functions.
2.3.2: Evaluate exponential functions.
2.3.3: Use exponential functions to model and solve real-life problems.
3.2
2.3.4: Evaluate logarithmic functions.
2.3.5: Graph logarithmic functions.
2.3.6: Evaluate and graph natural logarithmic functions.
2.3.7: Use logarithmic functions to model and solve real-life problems.
2.3.8: Write the logarithmic equation in exponential form.
2.3.9: Write the exponential equation in logarithmic form.
2.3.10: Solve logarithmic equations using the properties of logarithms and natural logarithms.
3.3
2.3.11: Change bases to evaluate logarithms.
2.3.12: Expand logarithmic expressions.
2.3.13: Condense logarithmic expressions.
2.3.14: Use logarithmic functions to model and solve real-life problems.
3.4
2.3.15: Solve exponential equations.
2.3.16: Solve logarithmic equations.
3.5
2.3.17: Use exponential growth and decay functions to model and solve real-life problems.
2.3.18: Use logarithmic functions to model and solve real life problems.
3.6
2.3.19: Use scatter plots and a graphing utility to find models for data.
Book Problems for Review – please note: only the odd numbered questions will have answers in the back of your textbook. p. 82 – 85: # 1, 2, 23, 25, 27, 35, 37, 46, 47, 48, 49, 50, 52-66, 69-72, 85-94, 97-99, 105-109 p. 169 – 173: # 7-10, 19-23, 25, 27, 35-49, 51-54, 57-60, 69, 71-80, 95-104, 109-118, 121, 123, 125, 129,
133-134, 137-141, 143, 144 p. 239-243: # 5-12, 31, 33-44, 55-60, 65-77, 79-108, 110, 117-121, 123, 125, 127-133, 135-138