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SAT Math Orange Book Problem Explanations

Section 1.2: Writing Linear Expressions

SkillDrill 1.2-1 (2:37)
Section Quiz
Problem 1 (1:32)
Problem 2 (3:07)

Section 1.3: Writing and Solving Linear Equations

SkillDrill 1.3-1 (2:33)
Section Quiz
Problem 1 (1:26)
Problem 2 (3:03)
Problem 3 (1:24)
Problem 4 (1:50)

Section 1.4: Function Notation / Inputs and Outputs

SkillDrill 1.4-1 (8:41)
Section Quiz
Problem 1 (0:41)
Problem 2 (2:02)
Problem 3 (4:17)
Problem 4 (1:33)

Chapter 1 Additional Problems

Chapter Quiz
1 (1:18)
2 (1:39)
3 (3:59)
4 (3:07)
5 (2:42)
6 (1:30)
7 (3:02)
8 (2:23)
9 (0:33)
10 (1:18)
11 (9:29)
12 (2:21)
13 (1:10)
14 (8:58)
15 (1:47)
16 (0:54)
17 (2:09)
18 (6:22)

Section 2.1: Why They’re Called Linear Relationships

SkillDrill 2.1-1 (1:58)
SkillDrill 2.1-2 (9:14)
SkillDrill 2.1-3 (2:42)
SkillDrill 2.1-4 (19:41)
Section Quiz
Problem 1 (1:06)
Problem 2 (1:57)
Problem 3 (3:31)
Problem 4 (1:33)

Section 2.2: Analyzing Graphs of Linear Equations

Section Quiz
Problem 1 (1:32)
Problem 2 (5:00)

Section 2.3: Using Points and Tables

SkillDrill 2.3-1 (10:55)
SkillDrill 2.3-2 (9:21)
Section Quiz
Problem 1 (2:05)
Problem 2 (2:04)
Problem 3 (3:37)
Problem 4 (3:11)

Section 2.4: Interpreting Linear Equations

Section Quiz
Problem 1 (1:26)
Problem 2 (3:57)

Chapter 2 Additional Problems

Section 3.1: Standard Form

SkillDrill 3.1-1 (5:03)
SkillDrill 3.1-2 (8:06)
Section Quiz
Problem 1 (1:52)
Problem 2 (1:49)
Problem 3 (2:40)
Problem 4 (3:35)

Section 3.2: Parallel and Perpendicular Lines

SkillDrill 3.2-1 (24:40)
Section Quiz
Problem 1 (2:38)
Problem 2 (4:50)
Problem 3 (3:45)

Chapter 3 Additional Problems

Chapter Quiz
1 (1:15)
2 (1:32)
3 (2:27)
4 (1:08)
5 (6:10)
6 (3:00)
7 (2:12)
8 (3:20)
9 (3:37)
10 (1:07)
11 (2:08)
12 (4:09)
13 (3:44)
14 (6:05)
15 (3:20)
16 (7:33)
17 (8:51)
18 (3:41)
19 (3:20)

Section 4.1: Introduction to Systems of Linear Equations

Section Quiz
Problem 1 (0:19)
Problem 2 (7:15)

Section 4.2: Using Substitution to Solve Systems of Linear Equations

SkillDrill 4.2-1 (5:57)
Section Quiz
Problem 1 (1:30)
Problem 2 (0:55)
Problem 3 (1:47)
Problem 4 (1:25)
Problem 5 (6:32)

Section 4.3: Number of Solutions to Systems of Linear Equations Part I

SkillDrill 4.3-1 (5:07)
SkillDrill 4.3-2 (4:35)
Section Quiz
Problem 1 (0:48)
Problem 2 (3:04)
Problem 3 (2:19)
Problem 4 (3:39)

Section 4.4: Solving Systems of Linear Equations by Elimination / Combination

SkillDrill 4.4-1 (8:13)
Section Quiz
Problem 1 (3:30)
Problem 2 (2:18)
Problem 3 (2:52)
Problem 4 (3:21)
Problem 5 (1:25)

Section 4.5: Number of Solutions to a System of Linear Equations Part II

SkillDrill 4.5-1 (14:47)
Section Quiz
Problem 1 (3:34)
Problem 2 (2:26)
Problem 3 (2:45)
Problem 4 (3:45)

Chapter 4 Additional Problems

Chapter Quiz
1 (1:20)
2 (2:34)
3 (3:46)
4 (0:53)
5 (2:50)
6 (4:06)
7 (3:31)
8 (1:08)
9 (1:10)
10 (0:49)
11 (1:54)
12 (3:50)
13 (1:56)
14 (1:51)
15 (4:37)
16 (6:09)
17 (9:16)
18 (3:57)
19 (3:50)
20 (2:05)
21 (1:10)
22 (1:41)
23 (4:58)

Section 5.1: Writing and Solving Linear Inequalities

SkillDrill 5.1-1 (4:12)
SkillDrill 5.1-2 (8:48)
SkillDrill 5.1-3 (3:41)
Section Quiz
Problem 1 (2:03)
Problem 2 (5:26)
Problem 3 (2:40)
Problem 4 (1:20)

Section 5.2: Compound Linear Inequalities

SkillDrill 5.2-1 (2:59)
Section Quiz
Problem 1 (2:46)
Problem 2 (2:09)

Section 5.3: Systems of Linear Inequalities

SkillDrill 5.3-1 (9:18)
Section Quiz
Problem 1 (2:43)
Problem 2 (2:23)
Problem 3 (2:38)

Section 5.4: Absolute Value

SkillDrill 5.4-1 (2:41)
SkillDrill 5.4-2 (5:09)
Section Quiz
Problem 1 (1:06)
Problem 2 (1:35)
Problem 3 (2:53)

Chapter 5 Additional Problems

Chapter Quiz
1 (2:21)
2 (2:12)
3 (1:12)
4 (2:31)
5 (1:03)
6 (4:09)
7 (1:37)
8 (6:12)
9 (2:21)
10 (1:41)
11 (3:03)
12 (3:23)
13 (2:09)
14 (3:32)
15 (3:06)
16 (1:58)
17 (5:25)
18 (2:35)
19 (3:19)
20 (1:48)
21 (3:09)
22 (3:39)
23 (7:17)
24 (2:50)

Section 6.1: What are Exponents?

SkillDrill 6.1-1 (6:56)

Section 6.2: Exponent Rules

SkillDrill 6.2-1 (8:33)
SkillDrill 6.2-2 (5:30)
SkillDrill 6.2-3 (5:04)
SkillDrill 6.2-4 (17:33)
SkillDrill 6.2-5 (7:59)
SkillDrill 6.2-6 (8:19)

Chapter 6 Additional Problems

Chapter Quiz
1 (1:34)
2 (2:37)
3 (0:39)
4 (1:33)
5 (1:28)
6 (0:51)
7 (2:02)
8 (3:08)
9 (1:34)
10 (1:20)
11 (3:51)
12 (2:39)

Section 7.2: Multiplying Polynomials

SkillDrill 7.2-1 (4:27)
SkillDrill 7.2-2 (9:59)
SkillDrill 7.2-3 (8:42)

Chapter 7 Additional Problems

Chapter Quiz
1 (1:17)
2 (2:46)
3 (5:09)
4 (2:01)
5 (1:38)
6 (2:36)
7 (1:04)
8 (4:58)
9 (1:03)
10 (1:04)
11 (1:50)
12 (1:40)
13 (1:26)
14 (2:20)
15 (2:10)
16 (2:10)
17 (0:46)
18 (1:24)

Section 8.1: What is Factoring?

Section Quiz
Problem 1 (0:43)
Problem 2 (1:51)

Section 8.2: How to Factor

SkillDrill 8.2-1 (17:28)
Section Quiz
Problem 1 (1:13)
Problem 2 (2:23)

Section 8.3: Other Methods of Finding Roots

SkillDrill 8.3-1 (12:37)
SkillDrill 8.3-2 (20:54)
Section Quiz
Problem 1 (5:49)
Problem 2 (3:10)
Problem 3 (5:48)
Problem 4 (6:19)

Section 8.4: Simplified Factoring Situations

SkillDrill 8.4-1 (5:00)
SkillDrill 8.4-2 (8:17)
Section Quiz
Problem 1 (3:22)
Problem 2 (0:38)
Problem 3 (1:05)
Problem 4 (1:02)

Section 8.5: Systems of Quadratic Equations and Linear Equations

Section Quiz
Problem 1 (0:50)
Problem 2 (1:17)
Problem 3 (1:45)
Problem 4 (3:28)

Section 8.6: Extra Tools for Factoring and Quadratics Problems

SkillDrill 8.6-1 (4:58)
Section Quiz
Problem 1 (3:45)
Problem 2 (1:43)
Problem 3 (2:27)
Problem 4 (2:19)

Chapter 8 Additional Problems

Chapter Quiz
1 (1:56)
2 (1:50)
3 (4:09)
4 (1:57)
5 (3:17)
6 (1:51)
7 (0:39)
8 (1:29)
9 (1:30)
10 (1:27)
11 (2:59)
12 (5:27)
13 (1:29)
14 (2:33)
15 (3:20)
16 (2:48)
17 (7:51)
18 (3:49)
19 (1:06)
20 (1:29)
21 (2:05)
22 (2:43)
23 (1:48)

Section 9.1: Phantom Equations and Extraneous Solutions

Section Quiz
Problem 1 (0:35)
Problem 2 (1:14)
Problem 3 (1:43)
Problem 4 (2:41)

Section 9.2: Rational Functions

Section Quiz
Problem 1 (1:26)
Problem 2 (3:14)

Section 9.3: Undefined Values and Extraneous Solutions for Rational Functions

Section Quiz
Problem 1 (1:51)
Problem 2 (5:05)

Section 9.4: Polynomial Long Division, Polynomial Remainder Theorem, and Matching Coefficients

SkillDrill 9.4-1 (7:52)
SkillDrill 9.4-2 (9:53)
SkillDrill 9.4-3 (9:02)
Section Quiz
Problem 1 (1:54)
Problem 2 (0:58)

Section 9.5: Solving in Terms of One Variable

Section Quiz
Problem 1 (1:14)
Problem 2 (0:37)
Problem 3 (0:57)
Problem 4 (1:59)

Chapter 9 Additional Problems

Chapter Quiz
1 (1:21)
2 (1:55)
3 (2:06)
4 (0:42)
5 (2:19)
6 (2:00)
7 (2:27)
8 (2:13)
9 (1:01)
10 (1:41)
11 (0:20)
12 (4:45)
13 (3:41)
14 (2:04)
15 (1:50)
16 (2:45)
17 (0:16)
18 (2:28)
19 (0:24)
20 (2:12)
21 (3:13)
22 (1:09)
23 (2:37)
24 (0:21)
25 (0:24)
26 (4:55)
27 (4:18)
28 (1:44)

Section 10.1: Standard Form: General Shape of Graphs

SkillDrill 10.1-1 (8:58)
Section Quiz
Problem 1 (1:03)
Problem 2 (2:02)

Section 10.2: Factored Form: Zeros of the Quadratic

SkillDrill 10.2-1 (4:10)
Section Quiz
Problem 1 (1:01)
Problem 2 (1:46)
Problem 3 (1:54)
Problem 4 (2:57)

Section 10.3: Vertex Form: Maximums and Minimums

SkillDrill 10.3-1 (7:12)
SkillDrill 10.3-2 (10:27)
Section Quiz
Problem 1 (2:02)
Problem 2 (1:42)

Section 10.4: Vertex Form From Factored Form

SkillDrill 10.4-1 (15:15)
Section Quiz
Problem 1 (2:24)
Problem 2 (4:19)

Section 10.5: Finding the Vertex from Standard Form

SkillDrill 10.5-1 (18:14)
Section Quiz
Problem 1 (1:59)
Problem 2 (3:08)

Section 10.6: Number of Intersections = Number of Solutions

Section Quiz
Problem 1 (2:16)
Problem 2 (2:22)

Chapter 10 Additional Problems

Chapter Quiz
1 (1:57)
2 (2:28)
3 (2:23)
4 (2:09)
5 (1:18)
6 (2:34)
7 (2:12)
8 (0:53)
9 (0:48)
10 (1:39)
11 (1:11)
12 (1:02)
13 (1:53)
14 (0:51)
15 (0:39)
16 (1:19)
17 (0:43)
18 (2:34)
19 (1:20)
20 (1:35)
21 (2:48)
22 (2:14)

Section 11.1: Number of Zeros of Quadratics

SkillDrill 11.1-1 (9:41)
Section Quiz
Problem 1 (3:00)
Problem 2 (5:23)

Section 11.2: Imaginary and Complex Numbers

SkillDrill 11.2-1 (6:35)
SkillDrill 11.2-2 (14:46)
Section Quiz
Problem 1 (1:34)
Problem 2 (3:13)

Chapter 11 Additional Problems

Chapter Quiz
1 (5:22)
2 (1:25)
3 (1:54)
4 (3:00)
5 (1:33)
6 (1:42)
7 (1:29)
8 (0:38)
9 (6:29)
10 (0:30)
11 (5:43)
12 (0:49)

Section 12.1: Ratios and Probability

Section Quiz
Problem 1 (0:33)
Problem 2 (0:56)
Problem 3 (1:33)
Problem 4 (0:44)

Section 12.2: Proportions

Section Quiz
Problem 1 (1:26)
Problem 2 (1:26)
Problem 3 (1:35)
Problem 4 (0:58)

Section 12.3: Ratio Word Problems

Section Quiz
Problem 1 (1:36)
Problem 2 (0:29)

Chapter 12 Additional Problems

Chapter Quiz
1 (1:08)
2 (1:04)
3 (2:22)
4 (1:02)
5 (1:48)
6 (2:26)
7 (3:28)
8 (4:07)
9 (0:40)
10 (0:39)
11 (0:54)
12 (2:33)
13 (1:52)
14 (1:48)
15 (5:02)
16 (1:36)
17 (1:45)
18 (1:53)
19 (3:55)
20 (1:20)
21 (0:43)
22 (1:51)

Section 13.1: Introduction to Percentages

SkillDrill 13.1-1 (4:16)
SkillDrill 13.1-2 (2:34)
SkillDrill 13.1-3 (2:09)
Section Quiz
Problem 1 (2:08)
Problem 2 (3:03)
Problem 3 (2:06)
Problem 4 (1:55)

Section 13.2: Percent Increase/Percent Decrease

SkillDrill 13.2-1 (3:31)
Section Quiz
Problem 1 (2:20)
Problem 2 (2:19)
Problem 3 (2:33)
Problem 4 (3:27)

Section 13.3: Mixtures and Concentrations

Section Quiz
Problem 1 (2:20)
Problem 2 (3:15)

Chapter 13 Additional Problems

Section 14.1: Basic Exponential Equations

SkillDrill 14.1-1 (3:01)
SkillDrill 14.1-2 (15:32)
Section Quiz
Problem 1 (2:19)
Problem 2 (0:44)
Problem 3 (3:10)
Problem 4 (1:56)

Section 14.2: Solving Exponential Equations

Section Quiz
Problem 1 (0:54)
Problem 2 (2:36)

Section 14.3: Graphs of Exponential Equations

Section Quiz
Problem 1 (0:25)
Problem 2 (1:57)
Problem 3 (1:45)

Chapter 14 Additional Problems

Section 15.1: Scatterplots and Lines of Best Fit

Section Quiz
Problem 1 (2:00)
Problem 2 (1:22)
Problem 3 (3:35)

Section 15.2: Line Graphs Without Modeling Equations

Section Quiz
Problem 1 (0:51)
Problem 2 (0:45)
Problem 3 (2:15)

Chapter 15 Additional Problems

Chapter Quiz
1 (2:18)
2 (0:22)
3 (0:35)
4 (0:37)
5 (1:46)
6 (1:21)
7 (3:05)
8 (1:28)
9 (0:37)
10 (0:48)
11 (1:54)
12 (2:49)
13 (2:59)
14 (1:24)
15 (0:59)
16 (1:09)
17 (1:54)
18 (1:09)
19 (2:15)
20 (1:45)
21 (1:35)
22 (1:53)
23 (1:36)
24 (1:47)
25 (0:43)
26 (1:45)
27 (1:49)
28 (3:06)
29 (2:20)

Section 16.1: Evaluating Functions (“Plugging In”)

Section Quiz
Problem 1 (1:10)
Problem 2 (2:22)
Problem 3 (1:12)
Problem 4 (2:39)

Section 16.2: Plugging Expressions into Functions

Section Quiz
Problem 1 (1:34)
Problem 2 (3:13)
Problem 3 (0:36)
Problem 4 (1:27)

Chapter 16 Additional Problems

Chapter Quiz
1 (2:07)
2 (0:33)
3 (1:10)
4 (1:50)
5 (4:12)
6 (1:15)
7 (3:37)
8 (1:37)
9 (2:22)
10 (2:28)
11 (1:30)
12 (2:39)

Section 17.1: Data Sets: Mean, Median, Mode, and Range

SkillDrill 17.1-1 (6:54)
SkillDrill 17.1-2 (2:34)
Section Quiz
Problem 1 (1:55)
Problem 2 (3:25)
Problem 3 (2:08)
Problem 4 (3:14)

Section 17.2: Frequency Tables, Histograms, and Standard Deviation

SkillDrill 17.2-1 (10:24)
Section Quiz
Problem 1 (2:29)
Problem 2 (1:51)
Problem 3 (4:00)

Section 17.3: Box Plots

Section Quiz
Problem 1 (0:33)
Problem 2 (2:11)

Section 17.4: Survey Design and Interpreting Results

Section Quiz
Problem 1 (3:27)
Problem 2 (1:12)
Problem 3 (1:33)
Problem 4 (2:27)

Chapter 17 Additional Problems

Section 18.1: Simple Conversions with Proportions

SkillDrill 18.1-1 (15:49)
Section Quiz
Problem 1 (0:46)
Problem 2 (1:56)
Problem 3 (1:25)
Problem 4 (0:39)

Section 18.2: Factor-Label Method

SkillDrill 18.2-1 (16:01)
Section Quiz
Problem 1 (2:07)
Problem 2 (1:15)
Problem 3 (1:01)
Problem 4 (1:53)

Section 18.3: The Distance/Speed/Time Equation

SkillDrill 18.3-1 (15:39)
Section Quiz
Problem 1 (1:33)
Problem 2 (1:55)

Chapter 18 Additional Problems

Section 19.1: Angle Basics

SkillDrill 19.1-1 (2:54)

Section 19.2: Finding Angle Measures

Section Quiz
Problem 1 (0:52)
Problem 2 (1:07)

Section 19.3: Triangles and Polygons

SkillDrill 19.3-1 (4:50)
Section Quiz
Problem 1 (1:51)
Problem 2 (2:18)

Section 19.4: Similar Triangles

SkillDrill 19.4-1 (6:29)
Section Quiz
Problem 1 (3:01)
Problem 2 (5:45)

Section 19.5: Trigonometric Ratios

SkillDrill 19.5-1 (1:07)
Section Quiz
Problem 1 (1:48)
Problem 2 (1:15)
Problem 3 (1:12)
Problem 4 (1:16)

Section 19.6: Perimeter, Area, Pythagorean Theorem, and Special Right Triangles

SkillDrill 19.6-1 (5:53)
SkillDrill 19.6-2 (4:45)
Section Quiz
Problem 1 (2:45)
Problem 2 (1:10)
Problem 3 (1:04)
Problem 4 (2:42)

Chapter 19 Additional Problems

Chapter Quiz
1 (1:15)
2 (0:42)
3 (1:12)
4 (3:36)
5 (1:14)
6 (4:35)
7 (3:40)
8 (3:43)
9 (0:53)
10 (2:01)
11 (2:16)
12 (6:08)
13 (1:16)
14 (2:29)
15 (3:20)
16 (1:31)
17 (3:46)
18 (2:57)
19 (3:49)
20 (3:26)
21 (1:02)
22 (1:20)
23 (2:43)
24 (0:54)
25 (4:04)
26 (0:58)

Section 20.1: Circle and Angles

Section Quiz
Problem 1 (4:43)
Problem 2 (2:20)

Section 20.2: Circumference, Arc Length, and Radians

SkillDrill 20.2-1 (2:08)
SkillDrill 20.2-2 (7:20)
SkillDrill 20.2-3 (9:39)
Section Quiz
Problem 1 (2:41)
Problem 2 (2:23)

Section 20.3: Area of a Circle

SkillDrill 20.3-1 (7:34)
Section Quiz
Problem 1 (1:31)
Problem 2 (8:06)

Section 20.4: The Circle Equation

SkillDrill 20.4-1 (5:11)
SkillDrill 20.4-2 (12:12)
Section Quiz
Problem 1 (0:43)
Problem 2 (2:55)

Section 20.5: Solids (3D Figures)

Section Quiz
Problem 1 (1:01)
Problem 2 (5:07)

Chapter 20 Additional Problems

SkillDrill 1.3-1

Complete and Continue

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