SAT MATHEMATICS WITH EXAM QUESTIONS AND ANSWERS LATEST UPDATE
3 views 0 purchase
Course
SAT
Institution
SAT
To the Students vi
Part A – Math Review
I. Heart of Algebra
Chapter 1: The Language and Tools of Algebra 5
1-1 Variables and Expressions 5
1-2 Exponents and Order of Operations 7
1-3 Simplifying Algebraic Expressions 9
1-4 Rational, Irrational, and Decimal 11
Chapter 1 Practice Test 13
A...
sat mathematics with exam questions and answers la
Written for
SAT
All documents for this subject (459)
Seller
Follow
THEEXCELLENCELIBRARY
Reviews received
Content preview
CONTENTS
To the Students vi
Part A – Math Review
I. Heart of Algebra
Chapter 1: The Language and Tools of Algebra 5
1-1 Variables and Expressions 5
1-2 Exponents and Order of Operations 7
1-3 Simplifying Algebraic Expressions 9
1-4 Rational, Irrational, and Decimal 11
Chapter 1 Practice Test 13
Answers and Explanations 15
Chapter 2: Solving Linear Equations 19
2-1 Writing Equations 19
2-2 Solving Equations 21
2-3 Solving Equations with Variables on Both Sides 23
2-4 Equations with No Solution and Identity 25
2-5 Solving for a Specific Variable 27
Chapter 2 Practice Test 29
Answers and Explanations 31
Chapter 3: Functionsand Linear Equations 37
3-1 Relations and Functions 37
3-2 Rate of Change and Slope 40
3-3 Slope-Intercept Form and Point-Slope Form 42
3-4 Parallel and Perpendicular Lines 44
3-5 Solving Systems of Linear Equations 46
3-6 Absolute Value Equations 50
Chapter 3 Practice Test 52
Answers and Explanations 54
Chapter 4: Linear Inequalities and Graphs 61
4-1 Solving Inequalities 61
4-2 Compound and Absolute Value Inequalities 63
4-3 Graphing Inequalities in Two Variables 65
4-4 Graphing Systems of Inequalities 67
Chapter 4 Practice Test 69
Answers and Explanations 71
,ii • Contents
Chapter 5: Word Problems in Real-Life Situation 77
5-1 Solving Word Problems Using Linear Models 77
5-2 Solving Word Problems with Equations 79
5-3 Solving Word Problems Using Systems of Equations 81
5-4 Solving Word Problems Using Inequalities 83
Chapter 5 Practice Test 85
Answers and Explanations 87
II. Statistics and Data Analysis
Chapter 6: Ratios, Rates, and Proportions 95
6-1 Ratios and Rates 95
6-2 Proportions 97
6-3 Ratios, Rates, and Proportions Word Problems 99
Chapter 6 Practice Test 101
Answers and Explanations 103
Chapter 7: Percents 109
7-1 Percent of Change 109
7-2 Percents and Equations 111
7-3 Percent Word Problems 113
Chapter 7 Practice Test 115
Answers and Explanations 117
Chapter 8: Statistics 121
8-1 Mean, Median, Mode, and Range 121
8-2 Standard Deviation 123
8-3 Graphical Displays 125
8-4 Scatter Plots 127
8-5 Populations, Samples, and Random Selection 129
Chapter 8 Practice Test 131
Answers and Explanations 133
Chapter 9: Categorical Data and Probability 139
9-1 Permutations and Combinations 139
9-2 Rules of Probability 141
9-3 Categorical Data and Conditional Probabilities 143
Chapter 9 Practice Test 145
Answers and Explanations 147
, Contents • iii
III. Advanced Math
Chapter 10: Law of Exponents and Polynomials 153
10-1 Laws of Exponents and Scientific Notation 153
10-2 Adding, Subtracting, Multiplying, and Dividing Polynomials 156
10-3 FOIL Method and Special Products 159
10-4 Prime Factorization, GCF, and LCM 161
10-5 Factoring Using the Distributive Property 164
Chapter 10 Practice Test 166
Answers and Explanations 168
Chapter 11: Quadratic Functions 173
11-1 Graphs of Quadratic Equations 173
11-2 Factoring Trinomials 176
11-3 Factoring Differences of Squares and Perfect Square Trinomials 179
11-4 Solving Quadratic Equations by Completing the Square 181
11-5 Quadratic Formula and the Discriminant 183
11-6 Solving Systems Consisting Linear and Quadratic Equations 186
Chapter 11 Practice Test 188
Answers and Explanations 190
Chapter 12: Composition, Recursion, and Exponential Functions 197
12-1 Composition of Functions 197
12-2 Recursive Formula 199
12-3 Exponential Functions and Graphs 201
12-4 Exponential Growth and Decay 203
Chapter 12 Practice Test 205
Answers and Explanations 207
Chapter 13: Polynomial and Radical Functions 213
13-1 Polynomial Functions and Their Graphs 213
13-2 Remainder Theorem and Factor Theorem 215
13-3 Radical Expressions 217
13-4 Solving Radical Equations 220
13-5 Complex Numbers 222
Chapter 13 Practice Test 225
Answers and Explanations 227
, iv • Contents
Chapter 14: Rational Expressions 233
14-1 Rational Expressions 233
14-2 Solving Rational Equations 236
14-3 Direct, Inverse, and Joint Variation 238
14-4 Solving Word Problems Using Rational Equations 240
Chapter 14 Practice Test 242
Answers and Explanations 244
Chapter 15: Trigonometric Functions 251
15-1 Trigonometric Ratios of Acute Angles 251
15-2 The Radian Measure of an Angle 253
15-3 Trigonometric Functions of General Angles and the Unit Circle 255
Chapter 15 Practice Test 259
Answers and Explanations 261
IV. Geometry
Chapter 16: Lines and Angles 267
16-1 Lines, Segments, and Rays 267
16-2 Angles 269
16-3 Parallel and Perpendicular Lines 271
Chapter 16 Practice Test 273
Answers and Explanations to Exercises and Practice Test 275
Chapter 17: Triangles 279
17-1 Angles of a Triangles 279
17-2 Pythagorean Theorem and Special Right Triangles 281
17-3 Similar Triangles and Proportional Parts 283
17-4 Area of a Triangle 285
Chapter 17 Practice Test 287
Answers and Explanations 289
Chapter 18: Polygons 295
18-1 Parallelograms 295
18-2 Rectangles, Squares, and Trapezoids 297
18-3 Regular Polygons 299
Chapter 18 Practice Test 301
Answers and Explanations 303
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller THEEXCELLENCELIBRARY. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $35.99. You're not tied to anything after your purchase.
