Semester 2 Final Exam Review Packet Name Algebra 1 – _____ Hour Final Exam Review Days Assigned on Assignment Complete and On Time 5 points Complete and Late 4 points At Least 50% Complete 2.5 points Less Than 50% Complete 1 point 6/6 Final Exam Review Chapters 11 and 12 Problems 54 – 73 6/7 Final Exam Review Chapters 10 Problems 44 – 53 6/8 Final Exam Review Chapters 8 and 9 Problems 1 – 43 6/9 Final Exam Review – Practice Exam Problems 74 – 98 Category Totals Homework Grade ________ / 20 Points This sheet is due Monday, June 12 th Other Things You Need to Know: There are 31 Multiple Choice and 6 Free Response questions on the exam. The Multiple Choice portion is an Illuminate bubble sheet You will be provided with a note sheet and you will use one of my calculators. You may use a calculator on the entire exam. If you would like to estimate your semester grade, use the formula below. Semester Grade = 0.8(S2 percentage) + 0.2(Exam percentage take a guess) Your exam is on ___________________
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Semester 2 Final Exam Review Packet Name
Algebra 1 – _____ Hour Final Exam Review Days
Assigned
on
Assignment
Complete and On Time
5 points
Complete and Late 4 points
At Least 50%
Complete
2.5 points
Less Than 50%
Complete
1 point
6/6 Final Exam Review Chapters 11 and 12
Problems 54 – 73
6/7 Final Exam Review Chapters 10
Problems 44 – 53
6/8 Final Exam Review Chapters 8
and 9 Problems 1 – 43
6/9 Final Exam Review – Practice Exam Problems 74 – 98
Category Totals
Homework Grade ________ / 20 Points This sheet is due Monday, June 12th
Other Things You Need to Know:
There are 31 Multiple Choice and 6 Free Response questions on the exam.
The Multiple Choice portion is an Illuminate bubble sheet
You will be provided with a note sheet and you will use one of my calculators.
You may use a calculator on the entire exam.
If you would like to estimate your semester grade, use the formula below. Semester Grade = 0.8(S2 percentage) + 0.2(Exam percentage take a guess)
Chapter 8: Exponents and Exponential Functions In #1-4 simplify the expression. Write your answer using exponents.
1) 52 )2)(2()2( 2) 53 )6(
3) 7
11
4
4 4)
8
127
6
66
In #5-7 simplify the expression
5) 85
1
6) 22 )4( nm 7)
33
r
In #8-11, Simplify the expression. Write your answer using only positive exponents.
8)
2
3
22
yz
x 9)
2
23
2
1
c
ab
a
10) 432 )2()6( mm 11) 4
32 )2(
4
)3(
n
m
m
mn
12) In the following, use the function y = 3x
a) Complete the table for the function b) Graph the function c) Identify the domain and range. Domain: Range:
13) Write 0.00384 in scientific notation 14) Write 1,308,000 in scientific notation 15) A company is offering its employees a retirement benefit of $24,000 per year and guarantees an annual cost of living increase of 2% of the benefit.
a) Write a function that models the retirement benefit over time. Assume that the retirement benefit only increases by the cost of living increase.
tray 1
b) Use the function to find the amount of the retirement benefit after 6 years. 16) You buy a new car for $32,000. It depreciates at the rate of 12% per year.
a) Write a function that models the value of your car over time.
tray 1
b) Use the function to find the amount the car is wroth after 5 years. In 17 and 18, Tell whether the graph represents exponential growth or exponential decay. Then write a rule for the function. 17) 18)
In 19 and 20, simplify the expression.
19) 22 2x when x = 5 20) 32 12 x when x = 3
Chapter 9: Polynomials and Factoring In 21 and 22, find the sum of the polynomials.
21) )3()3573( 323 xxxxx 22) )119()1437( 22 aaaa
In 23 and 24, find the difference of the polynomials.
23) )8211()5617( 22 yyyy 24) )113()162( 323 bbbbb
In #25-28, find the product of the polynomials. (double-distribute/FOIL)
25) )12)(39( rr 26) )35)(27( 22 ttt
27) 2)53( ba 28) )29)(29( zz
In #29- 34, factor the polynomial.
29) 21102 xx 30) 6234 2 yy
31) 20205 2 xx 32) 1212 x
33) 3072 2 xx 34) 121669 2 yy
In #35-36, what are the x-intercepts? (Also called Zeros/Roots/Solutions) 35) ( 7)( 3)x x y 36) (5 2)( 11)x x y
In #37-42, solve the equation.
37) 0562 xx 38) zz 261692
39) 01512 2 x 40) 453114 2 xxx
41) 5523 xxx 42) 1226 23 mmm
x
y
43) A rectangle has the length of (3x+2) inches, a width of (x+4) inches, and an area of 153 square inches. Find the value of x. (hint: draw a picture!) Chapter 10: Quadratic Equations and Functions Find the vertex of the following quadratics:
44) 2 4 1x x 45) 22 8 5x x 46) Given the following information about the parabola, answer the questions.
382 2 xxy
a) a = b = c = b) Does the parabola open up or down? c) Does the parabola have a maximum or minimum? d) Find and draw the axis of symmetry ( Also known as the x coordinate of the vertex) e) Find a plot the vertex. Find more points on the graph and graph the parabola Vertex
x
y
47) Given the following information about the parabola, answer the questions.
342 xxy
a) a = b = c = b) Does the parabola open up or down? c) Does the parabola have a maximum or minimum? d) Find and draw the axis of symmetry ( Also known as the x coordinate of the vertex) e) Find a plot the vertex. Find more points on the graph and graph the parabola Vertex
In 48-49 solve the equation. Round to the nearest hundredth, if necessary
48) 02252 x 49) 71881 2 x
50) Use the Quadratic Formula to solve. 527 2 xx
Use the discriminant to tell whether the equation has two, one, or zero solutions.
51) 09124 2 xx 52) 4292 2 www
53) The discriminant of 2 5x x c is -7. What is the value of c?
Chapter 11: Radicals and Geometry Connections In # 54-61, simplify the expression
54) 24
108
x 55) 3218 xx 56) 5232
57) 4275 npm 58) 5
108 59)
6
5
49
81
d
k
60) 2723515 61) 500253
x
y
Und.
In #62-64, solve for x.
62) 2463 x 63) 124 xx 64) 034 xx
Chapter 12: Rational Equations and Functions 65) Given that y varies inversely with x, use the specified values to write an inverse variation equation that relates x and y. Then find y when x = 6.
x = 4, y = 3 66) Given that y varies inversely with x, use the specified values to write an inverse variation equation that relates x and y. Then find y when x = 18.