9781457301537

SpringBoard Algebra 2

1.1
One-Variable Equations
Exercises
p.3
1.2
Two-Variable Equations
Exercises
p.7
1.3
Absolute Value Equations and Inequalities
Exercises
p.12
Activity 1 Practice
p.15
2.1
Graphing Two-Variable Equations
Exercises
p.17
2.2
Graphing Systems of Inequalities
Exercises
p.21
Activity 2 Practice
p.27
3.1
Solving Systems of Two Equations in Two Variables
Exercises
p.29
3.2
Solving Systems of Three Equations in Three Variables
Exercises
p.39
3.3
Matrix Operations
Exercises
p.42
3.4
Solving Matrix Equations
Exercises
p.47
Activity 3 Practice
p.53
Embedded Assessment 1
p.55
4.1
Introduction to Piecewise-Defined Functions
Exercises
p.57
4.2
Step Functions and Absolute Value Functions
Exercises
p.61
4.3
Transforming the Absolute Value Parent Function
Exercises
p.65
Activity 4 Practice
p.71
5.1
Operations with Functions
Exercises
p.73
5.2
Function Composition
Exercises
p.79
5.3
More Function Composition
Exercises
p.84
Activity 5 Practice
p.87
6.1
Finding Inverse Functions
Exercises
p.89
6.2
Graphs of Inverse Functions
Exercises
p.94
Activity 6 Practice
p.97
Embedded Assessment 2
p.99
7.1
Analyzing a Quadratic Function
Exercises
p.103
7.2
Factoring Quadratic Expressions
Exercises
p.107
7.3
Solving Quadratic Equations by Factoring
Exercises
p.112
7.4
More Uses for Factors
Exercises
p.117
Activity 7 Practice
p.119
8.1
The Imaginary Unit, i
Exercises
p.121
8.2
Operations with Complex Numbers
Exercises
p.126
8.3
Factoring with Complex Numbers
Exercises
p.132
Activity 8 Practice
p.135
9.1
Completing the Square and Taking Square Roots
Exercises
p.138
9.2
The Quadratic Formula
Exercises
p.141
9.3
Solutions of Quadratic Equations
Exercises
p.144
Activity 9 Practice
p.149
Embedded Assessment
p.151
10.1
Parabolas and Quadratic Equations
Exercises
p.153
10.2
Writing a Quadratic Function Given Three Points
Exercises
p.163
10.3
Quadratic Regression
Exercises
p.167
Activity 10 Practice
p.171
11.1
Translations of Parabolas
Exercises
p.173
11.2
Shrinking, Stretching, and Reflecting Parabolas
Exercises
p.178
11.3
Vertex Form
Exercises
p.187
Activity 11 Practice
p.189
Embedded Assessment
p.191
12.1
Key Features of Quadratic Functions
Exercises
p.193
12.2
More Key Features of Quadratic Functions
Exercises
p.197
12.3
Graphing Quadratic Functions
Exercises
p.201
12.4
The Discriminant
Exercises
p.205
12.5
Graphing Quadratic Inequalities
Exercises
p.207
Activity 12 Practice
p.209
13.1
Solving a System Graphically
Exercises
p.211
13.2
Solving a System Algebraically
Exercises
p.218
Activity 13 Practice
p.221
Embedded Assessment
p.223
14.1
Polynomials
Exercises
p.227
14.2
Some Attributes of Polynomial Functions
Exercises
p.232
14.3
Even and Odd Functions
Exercises
p.237
Activity 14 Practice
p.239
15.1
Adding and Subtracting Polynomials
Exercises
p.241
15.2
Multiplying Polynomials
Exercises
p.246
15.3
Dividing Polynomials
Exercises
p.249
Activity 15 Practice
p.253
16.1
Introduction to Pascal's Triangle
Exercises
p.255
16.2
Applying the Binomial Theorem
Exercises
p.259
Activity 16 Practice
p.263
Embedded Assessment
p.265
17.1
Algebraic Methods
Exercises
p.267
17.2
The Fundamental Theorem of Algebra
Exercises
p.272
Activity 17 Practice
p.275
18.1
Graphing Polynomial Functions
Exercises
p.277
18.2
Finding the Roots of a Polynomial Function
Exercises
p.281
18.3
Comparing Polynomial Functions
Exercises
p.287
Activity 18 Practice
p.289
Embedded Assessment
p.291
19.1
Arithmetic Sequences
Exercises
p.295
19.2
Arithmetic Series
Exercises
p.299
19.3
Sigma Notation
Exercises
p.304
Activity 19 Practice
p.305
20.1
Geometric Sequences
Exercises
p.307
20.2
Geometric Series
Exercises
p.312
20.3
Convergence of Series
Exercises
p.317
Activity 20 Practice
p.319
Embedded Assessment
p.321
21.1
Exploring Exponential Patterns
Exercises
p.323
21.2
Exponential Functions
Exercises
p.326
21.3
Exponential Graphs and Asymptotes
Exercises
p.329
21.4
Transforming Exponential Functions
Exercises
p.331
21.5
Natural Base Exponential Functions
Exercises
p.336
Activity 21 Practice
p.341
22.1
Exponential Data
Exercises
p.343
22.2
The Common Logarithm Function
Exercises
p.348
22.3
Properties of Logarithms
Exercises
p.350
22.4
More Properties of Logarithms
Exercises
p.353
Activity 22 Practice
p.355
Embedded Assessment
p.357
23.1
Logarithms in Other Bases
Exercises
p.359
23.2
Properties of Logartihms and the Change of Base Formula
Exercises
p.362
23.3
Graphs of Logarithmic Functions
Exercises
p.365
Activity 23 Practice
p.369
24.1
Exponential Equations
Exercises
p.371
24.2
Solving Equations by Using Logarithms
Exercises
p.374
24.3
Logarithmic Equations
Exercises
p.378
24.4
Exponential and Logarithmic Inequalities
Exercises
p.380
Activity 24 Practice
p.381
Embedded Assessment
p.383
25.1
Square Root Functions
Exercises
p.387
25.2
Solving Square Root Equations
Exercises
p.392
25.3
Cube Root Functions
Exercises
p.394
25.4
Solving Cube Root Equations
Exercises
p.398
Activity 25 Practice
p.399
26.1
Square Root Functions and Regressions
Exercises
p.402
26.2
Square Root and Quadratic Functions
Exercises
p.406
26.3
Cube Root and Cubic Functions
Exercises
p.411
Activity 26 Practice
p.413
Embedded Assessment
p.415
27.1
Formulating and Graphing a Rational Function
Exercises
p.417
27.2
Formulating and Graphing More Rational Functions
Exercises
p.421
27.3
Identifying Asymptotes
Exercises
p.425
Activity 27 Practice
p.429
28.1
Inverse Variation and Combined Variation
Exercises
p.431
28.2
Transformations of the Parent Rational Function
Exercises
p.435
Activity 28 Practice
p.441
Embedded Assessment
p.443
29.1
Multiplying and Dividing Rational Expressions
Exercises
p.446
29.2
Adding and Subtracting Rational Expressions
Exercises
p.450
29.3
Finding Horizontal and Vertical Asymptotes
Exercises
p.454
29.4
Graphing Rational Functions
Exercises
p.458
Activity 29 Practice
p.461
30.1
Solving Rational Equations
Exercises
p.463
30.2
Solving Rational Inequalities
Exercises
p.467
Activity 30 Practice
p.471
Embedded Assessment
p.473
31.1
Radian Measure
Exercises
p.477
31.2
Applying Radian Measure
Exercises
p.482
Activity 31 Practice
p.485
32.1
Placing the Unit Circle on the Coordinate Plane
Exercises
p.488
32.2
Special Right Triangles and the Unit Circle
Exercises
p.496
Activity 32 Practice
p.499
33.1
The Pythagorean Identity
Exercises
p.503
33.2
Other Trigonometric Identities
Exercises
p.504
Activity 33 Practice
p.507
Embedded Assessment
p.509
34.1
Periodic Functions
Exercises
p.511
34.2
The Sine Function
Exercises
p.515
34.3
The Cosine Function
Exercises
p.521
34.4
The Tangent Function
Exercises
p.527
34.5
Translating Trigonometric Functions
Exercises
p.533
Activity 34 Practice
p.539
35.1
Modeling Periodic Phenomena
Exercises
p.541
Activity 35 Practice
p.547
Embedded Assessment
p.549
36.1
Shapes of Distributions
Exercises
p.553
36.2
Characteristics of the Normal Distribution
Exercises
p.558
36.3
z-scores and their Probabilities
Exercises
p.562
36.4
Modeling with the Normal Distribution
Exercises
p.571
Activity 36 Practice
p.573
37.1
Surveys
Exercises
p.577
37.2
Experiments
Exercises
p.582
37.3
Observational Studies
Exercises
p.586
Activity 37 Practice
p.589
Embedded Assessment
p.591
38.1
Devising Simulations
Exercises
p.593
38.2
Confirming Data with Simulations
Exercises
p.600
Activity 38 Practice
p.604
39.1
Introduction to Margin of Error
Exercises
p.605
39.2
Computing Margin of Error
Exercises
p.611
Activity 39 Practice
p.618
40.1
Random Chance
Exercises
p.619
40.2
Testing Statistical Significance
Exercises
p.625
Activity 40 Practice
p.630
Embedded Assessment
p.631