Grade 11 Unit 10
Grade 11 Unit 10
MATHEMATICS 1110 ALGEBRA II REVIEW CONTENTS
804 N. 2nd Ave. E., Rock Rapids, IA 51246-1759 © MM by Alpha Omega Publications, Inc. All rights reserved. LIFEPAC is a registered trademark of Alpha Omega Publications, Inc.
All trademarks and/or service marks referenced in this material are the property of their respective owners. Alpha Omega Publications, Inc. makes no claim of ownership to any trademarks and/or service marks other than their own and their affiliates’, and makes no claim of affiliation to any companies whose trademarks may be listed in this material, other than their own.
®
OBJECTIVES
Read these objectives: The objectives tell you what you will be able to do when you have successfully completed this LIFEPAC. When you have finished this LIFEPAC, you should be able to: 1.
Use set concepts and number properties to simplify and evaluate variable expressions.
2.
Solve and graph linear sentences and systems.
3.
Solve application problems that lead to a linear equation or to a system of linear equations.
4.
Perform basic operations with polynomials and factor polynomials completely.
5.
Perform basic operations with algebraic fractions and solve equations that involve fractions.
6.
Solve radical and quadratic equations.
7.
Distinguish between and use rational numbers, irrational numbers, and imaginary numbers.
8.
Use the distance formula, write equations, and graph all the conic sections.
9.
Use exponential functions and logarithms.
10.
Use matrices in computing and in solving linear equations.
11.
Find sums and general terms for an arithmetic or geometric series.
12.
Use formulas for permutations and combinations, and apply these formulas in determining probability.
1
Survey the LIFEPAC. Ask yourself some questions about this study. Write your questions here.
_______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________
OBJECTIVES
I. INTEGERS, OPEN SENTENCES, AND GRAPHS
1. Use set concepts and number properties to simplify and evaluate variable expressions. 2. Solve and graph linear sentences and systems. 3. Solve application problems that lead to a linear equation or to a system of linear equations.
2
INTEGERS
3
4
5
________ ________ ________ ________ ________
________
________ ________
________
________ ________ ________
________ ________ ________ ________ ________ ________ ________ ________
6
_____________________________________________________________________________________________
________________________________________ ________________________________________
____________________________________
____________________________________
____________________________________
____________________________________
_____________________________________________________________________________________________
_____________________________________________________________________________________________ _____________________________________________________________________________________________
_____________________________________________________________________________________________
_____________________________________________________________________________________ _____________________________________________________________________________________
7
_____________________________________ _____________________________________
_____________________________________ _____________________________________ _____________________________________ _____________________________________ _____________________________________ _____________________________________ OPEN SENTENCES
8
9
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
-3 -2 -1 0
10
1
2
3
4
5
6
7
11
________ ________
________ ________ ________ ________
-1
0
1
2
3
4
5
-2
-1
0
1
2
3
4
-2
-1
0
1
2
3
4
-2
-1
0
1
2
3
4
________ ________
________ ________ ________
________
________ ________
12
__________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________
13
14
GRAPHS
15
16
17
_________ _________ _________ _________ _________ _________ _________ _________ _________ _________
_________
_____________________________________________________________________________________________
_____________________________________________________________________________________________
_____________________________________________________________________________________________
18
______________________________________________________________________________________________
______________________________________________________________________________________________
y
x
y
x
19
y
x
y
x
y
x
20
SELF TEST 1
_____________________________________________________________________________________________ _____________________________________________________________________________________________
_____________________________________________________________________________________________
______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________
______________________________________ ______________________________________ ______________________________________ ______________________________________
21
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0
1
2
3
4
5
6
7
8
9 10 11 12
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0
1
2
3
4
5
6
7
8
9 10 11 12
y
x
y
x
22
________________________________
________________________________
________________________________
________________________________
________________________________
Score Teacher Check
82 102
23
_______________________ _______________________ Initial Date
MATHEMATICS 1110 ALGEBRA II REVIEW CONTENTS
804 N. 2nd Ave. E., Rock Rapids, IA 51246-1759 © MM by Alpha Omega Publications, Inc. All rights reserved. LIFEPAC is a registered trademark of Alpha Omega Publications, Inc.
All trademarks and/or service marks referenced in this material are the property of their respective owners. Alpha Omega Publications, Inc. makes no claim of ownership to any trademarks and/or service marks other than their own and their affiliates’, and makes no claim of affiliation to any companies whose trademarks may be listed in this material, other than their own.
®
OBJECTIVES
Read these objectives: The objectives tell you what you will be able to do when you have successfully completed this LIFEPAC. When you have finished this LIFEPAC, you should be able to: 1.
Use set concepts and number properties to simplify and evaluate variable expressions.
2.
Solve and graph linear sentences and systems.
3.
Solve application problems that lead to a linear equation or to a system of linear equations.
4.
Perform basic operations with polynomials and factor polynomials completely.
5.
Perform basic operations with algebraic fractions and solve equations that involve fractions.
6.
Solve radical and quadratic equations.
7.
Distinguish between and use rational numbers, irrational numbers, and imaginary numbers.
8.
Use the distance formula, write equations, and graph all the conic sections.
9.
Use exponential functions and logarithms.
10.
Use matrices in computing and in solving linear equations.
11.
Find sums and general terms for an arithmetic or geometric series.
12.
Use formulas for permutations and combinations, and apply these formulas in determining probability.
1
Survey the LIFEPAC. Ask yourself some questions about this study. Write your questions here.
_______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________ _______________________________________________________________________________________________________
OBJECTIVES
I. INTEGERS, OPEN SENTENCES, AND GRAPHS
1. Use set concepts and number properties to simplify and evaluate variable expressions. 2. Solve and graph linear sentences and systems. 3. Solve application problems that lead to a linear equation or to a system of linear equations.
2
INTEGERS
3
4
5
________ ________ ________ ________ ________
________
________ ________
________
________ ________ ________
________ ________ ________ ________ ________ ________ ________ ________
6
_____________________________________________________________________________________________
________________________________________ ________________________________________
____________________________________
____________________________________
____________________________________
____________________________________
_____________________________________________________________________________________________
_____________________________________________________________________________________________ _____________________________________________________________________________________________
_____________________________________________________________________________________________
_____________________________________________________________________________________ _____________________________________________________________________________________
7
_____________________________________ _____________________________________
_____________________________________ _____________________________________ _____________________________________ _____________________________________ _____________________________________ _____________________________________ OPEN SENTENCES
8
9
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
-3 -2 -1 0
10
1
2
3
4
5
6
7
11
________ ________
________ ________ ________ ________
-1
0
1
2
3
4
5
-2
-1
0
1
2
3
4
-2
-1
0
1
2
3
4
-2
-1
0
1
2
3
4
________ ________
________ ________ ________
________
________ ________
12
__________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________
13
14
GRAPHS
15
16
17
_________ _________ _________ _________ _________ _________ _________ _________ _________ _________
_________
_____________________________________________________________________________________________
_____________________________________________________________________________________________
_____________________________________________________________________________________________
18
______________________________________________________________________________________________
______________________________________________________________________________________________
y
x
y
x
19
y
x
y
x
y
x
20
SELF TEST 1
_____________________________________________________________________________________________ _____________________________________________________________________________________________
_____________________________________________________________________________________________
______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________
______________________________________ ______________________________________ ______________________________________ ______________________________________
21
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0
1
2
3
4
5
6
7
8
9 10 11 12
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0
1
2
3
4
5
6
7
8
9 10 11 12
y
x
y
x
22
________________________________
________________________________
________________________________
________________________________
________________________________
Score Teacher Check
82 102
23
_______________________ _______________________ Initial Date
