Download Unit 4 Cumulative Assessment Study Guide

Unit 4 Honors Study Guide Cumulative Exam
100 points – Thursday, October 29, 2015
Unit 1 Tools of Algebra
1.1 Variables and Expressions
o
o
Translate from words to algebra
Translate from algebra to words
1.2 Exponents and Order of Operations
o
o
PEMDAS
Evaluating Expressions
1.3 Exploring Real Numbers System
o
Rational/Irrational, Integer, Whole, Natural,
1.4 Adding Real Numbers
1.5 Subtracting Real Numbers
1.6 Multiplying and Dividing Real Numbers
o
Matrix operations
1.7 The Distributive Property
o
Simplifying expressions using the distributive property.
1.8 Properties of Real Number
o
Identify the Algebraic Properties including;
 Commutative Property of Addition/Commutative Property of Multiplication
 Associative Property of Addition/Associative Property of Multiplication
 Identity Property of Addition/Identity Property of Multiplication
 Inverse Property of Addition/ Inverse Property of Multiplication
 Distributive Property
 Zero Property
2.1 Solving One Step Equations
2.2 Solving Two-Step Equations
2.3 Solving Multi-Step Equations
**Make sure you can combine like terms**
**Always Express your answers in standard form (LEFT to RIGHT: highest exponent first, alphabetical order, constants always
last)
Unit 2 Equations and Inequalities
EQUATIONS
2.3 Solving Two Step and Multi-Step Equations


Clearing fractions and decimals.
Translate word problems and verbal expressions into an equation.
2.4 Solving Equations with Variables on Both Sides


REMEMBER: Simplify each side first, then collect all the variables on one side to solve!
Special Cases: (All Real Solutions/ No Solution/ One Solution)
2.6 Solving Absolute Value Equations


YOU SHOULD HAVE 2 SOLUTIONS UNLESS IT’S A SPECIAL CASE
Remember: Isolate your absolute value, check for special cases, if it’s not a special case, split into two equation and
remove your absolute value signs and solve separately, Don’t forget to check your answers.
INEQUALITIES – Remember to ALWAYS reverse the inequality symbol when multiplying or dividing through by a
negative!!!
3-4 Multi-Step Inequalities



Clearing fractions and decimals.
Translate word problems and verbal expressions into an inequality
Special Cases:
o all real numbers – yields a true statement
ex: 2𝑥 + 2 > 2𝑥 + 1
o no solution - yields a false statement
ex: 2𝑥 + 2 > 2𝑥 + 2
3-5 Inequalities with Variables on Both Sides

Be aware of special cases (All Real Solutions/No Solutions)
3-6 Compound Inequalities
 Model real world situations using compound inequalities.
 Solve and graph simple compound inequalities using “and” and “or”.
 Translate between an in between statement and an “and” inequality.
o ex: 𝑥 > −2 𝑎𝑛𝑑 𝑥 < 5 is the same as … −2 < 𝑥 < 5
 Special Cases: (All real solutions, no solution, infinite solutions)
3.7 Solving Absolute Value Inequalities:



Isolate absolute value, then break into two cases, solve both inequalities, graph
Final answer should be written as an “AND” or “OR”
Recall: GreatOR and LessthAND
Unit 3 Applications of Equations and Inequalities
2-5 Equations and Problem Solving (Number; Age; Geometry; Break-even; Consecutive)
2-6 Formulas/ Literal Equations
Unit 4 Functions
5-1 Relating Graphs to Events
5-2 Relations and Functions
5-3 Graphing Functions
5- 4 Function Rules, Tables, and Graphs
TIPS FOR SUCCESS




Study vocabulary words, quizzes, tests and previous study guides.
Check out my website for supplemental material
On the day of the test come prepared with a pencil and calculator!! I will provide scrap paper.
The test will take the FULL class period, so be punctual!