Solving Systems of Equations in Two Variables Practice Exam Solutions

College Algebra

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Linear, Rational, & Absolute Value Equations & Inequalities — Topic Review (⏱️ <74 min)

Study Guide (fill this in as you watch the videos!)
Linear Equations (p. 3-7) (17:32)
Rational Equations (p. 8-13) (18:34)
Solving Equations with Absolute Value (p. 14) (5:33)
Number Lines and Inequalities (p. 15) (5:05)
Solving Inequalities and Writing Intervals (p. 16-18) (12:44)
Solving Inequalities with Absolute Value (p. 19-20) (14:22)

Linear, Rational, & Absolute Value Equations & Inequalities — Practice Exam Questions

Practice Exam Questions
Practice Exam Questions Answer Key
Linear Equations Practice Exam Solutions (12:55)
Rational Equations Practice Exam Solutions (13:36)
Absolute Value Equations Practice Exam Solutions (5:36)
Inequalities Practice Exam Solutions (10:02)

Quadratic, Polynomial, & Radical Equations — Topic Review (⏱️ <91 min)

Study Guide (fill this in as you watch the videos!)
Solving Quadratics by Factoring (p. 3) (5:35)
Solving Quadratics by Using Square Roots (p. 4) (2:39)
Solving Quadratics by Completing the Square (p. 5) (8:43)
Solving Quadratics by Using the Quadratic Formula (p. 6) (5:38)
Solving Quadratic Equations that Have Complex Solutions (p. 7) (8:19)
Quadratic Forms & Disguised Quadratics (p. 8-11) (12:15)
Higher Polynomial Equations (p. 12-14) (9:11)
Radical Equations (p. 15-18) (11:54)
Completing the Square (p. 19-22) (9:58)
Operations with Complex Numbers (p. 23-25) (11:41)
Patterns in the Powers of i (p. 26) (4:31)

Quadratic, Polynomial, & Radical Equations — Practice Exam Questions

Practice Exam Questions
Practice Exam Questions Answer Key
Quadratic Equations Practice Exam Solutions (9:57)
Quadratic Forms Practice Exam Solutions (11:58)
Higher Polynomial Equations Practice Exam Solutions (7:23)
Radical Equations Practice Exam Solutions (9:48)
Complex Numbers Practice Exam Solutions (5:25)

Rectangular Coordinate System, Lines, & Circles — Topic Review (⏱️ <72 min)

Study Guide (fill this in as you watch the videos!)
Basics of Graphing - Plotting Points to Graph an Equation (p. 3-4) (5:40)
Basics of Graphing - Finding Intercepts from a Graph (p. 5) (1:33)
Basics of Graphing - Finding Intercepts from an Equation (p. 6) (4:13)
Finding Equations and Graphing Lines (p. 7-10) (13:45)
General Form of a Line (p. 11) (3:06)
Vertical and Horizontal Lines (p. 12) (2:19)
Parallel and Perpendicular Lines (p. 13) (5:09)
Lines (Quick Overview) (p. 14) (4:04)
Distance Formula (p. 15) (7:59)
Midpoint Formula (p. 16) (5:26)
Graphing Circles (p. 17-18) (7:32)
General Form of a Circle (p. 19-20) (11:09)

Rectangular Coordinate System, Lines, & Circles — Practice Exam Questions

Practice Exam Questions
Practice Exam Questions Answer Key
Graphing Basics Practice Exam Solutions (6:51)
Lines Practice Exam Solutions (6:47)
Parallel & Perpendicular Lines Practice Exam Solutions (5:20)
Distance Formula & Midpoint Formula Practice Exam Solutions (10:44)
Circles Practice Exam Solutions (12:03)

Relations & Functions — Topic Review (⏱️ <58 min)

Study Guide (fill this in as you watch the videos!)
Quick Overview of Functions (p. 3-5) (13:48)
Finding The Domain of a Function (p. 6) (6:03)
Graphs (p. 7-9) (9:54)
Graphing with a Calculator (p. 10) (6:21)
Even vs Odd vs Neither (p. 11-12) (8:23)
Increasing, Decreasing, Constant (p. 13) (3:38)
Local Maxima and Local Minima (p. 14-15) (9:48)

Relations & Functions — Practice Exam Questions

Practice Exam Questions
Practice Exam Questions Answer Key
Quick Overview of Functions Practice Exam Solutions (5:16)
Finding The Domain of a Function Practice Exam Solutions (14:09)
Graphs Practice Exam Solutions (8:27)
Even vs Odd vs Neither Practice Exam Solutions (5:35)

Graphing & Transforming Functions — Topic Review (⏱️ <41 min)

Study Guide (fill this in as you watch the videos!)
Important Types of Parent Functions (p. 3-4) (11:47)
Piecewise Functions (p. 5) (7:50)
Transforming a Function (p. 6-9) (20:51)

Graphing & Transforming Functions — Practice Exam Questions

Practice Exam Questions
Practice Exam Questions Answer Key
Piecewise Functions Practice Exam Solutions (12:40)
Transforming Functions Practice Exam Solutions (34:13)

Composite, One-to-One, & Inverse Functions — Topic Review (⏱️ <32 min)

Study Guide (fill this in as you watch the videos!)
Composite Functions (p. 3-4) (8:19)
One-to-One Functions and Inverses (p. 5-6) (8:53)
How to Find a Function’s Inverse (p. 7-10) (16:26)

Composite, One-to-One, & Inverse Functions — Practice Exam Questions

Practice Exam Questions
Practice Exam Questions Answer Key
Composite Functions Practice Exam Solutions (18:08)
One-to-One Functions and Inverses Practice Exam Solutions (14:43)

Quadratic Functions — Topic Review (⏱️ <41 min)

Study Guide (fill this in as you watch the videos!)
Quick Overview of Quadratic Functions (p. 3-5) (11:52)
Properties of Quadratics (p. 6-7) (5:43)
Graphing a Quadratic Using Its Vertex, Axis of Symmetry, and Intercepts (p. 8) (9:36)
Graphing a Quadratic Using Transformations (p. 9-10) (6:57)
Maximum/Minimum Value of a Quadratic (p. 11) (6:06)

Quadratic Functions — Practice Exam Questions

Practice Exam Questions
Practice Exam Questions Answer Key
Overview of Quadratic Functions Practice Exam Solutions (10:36)
Graphing Quadratics Practice Exam Solutions (23:15)
Finding Maxima and Minima of Quadratic Functions Practice Exam Solutions (10:16)

Polynomial Functions — Topic Review (⏱️ <60 min)

Study Guide (fill this in as you watch the videos!)
Quick Overview of Polynomial Functions (p. 3-4) (5:08)
Graphing Using Transformations (p. 5-6) (10:11)
Real Zeros and Multiplicities (p. 7-8) (7:17)
Turning Points (p. 9) (4:44)
End Behavior (p. 10) (5:19)
Graphing Using Zeros and Multiplicities (p. 11-12) (19:01)
Finding Real Zeros of Polynomials (p. 13-14) (7:40)

Polynomial Functions — Practice Exam Questions

Practice Exam Questions
Practice Exam Questions Answer Key
Graphing Using Transformations Practice Exam Solutions (11:18)
Graphing Using Zeros and Multiplicities Practice Exam Solutions (23:12)
Forming Polynomial Functions Practice Exam Solutions (4:53)

Rational Functions — Topic Review (⏱️ <59 min)

Study Guide (fill this in as you watch the videos!)
Quick Overview of Rational Functions and Domain (p. 3) (4:38)
Vertical Asymptotes of Rational Functions (p. 4) (3:09)
Horizontal and Oblique Asymptotes of Rational Functions (p. 5-8) (19:50)
Holes of Rational Functions (p. 9) (2:27)
Graphing Rational Functions (p. 10-12) (23:17)
Applications with Rational Functions (p. 13) (5:24)

Rational Functions — Practice Exam Questions

Practice Exam Questions
Practice Exam Questions Answer Key
Graphing and Analyzing Rational Functions Practice Exam Solutions (8:31)

Exponential & Logarithmic Functions — Topic Review (⏱️ <98 min)

Study Guide (fill this in as you watch the videos!)
Exponential Functions (p. 3-5) (14:31)
The Number e (p. 6) (2:06)
Solving Exponential Equations (p. 7-8) (6:36)
Log Functions (p. 9-10) (13:07)
Graphing Log Functions (p. 11-13) (13:44)
Log Rules (p. 14-17) (15:49)
Solving Equations with Logs (p. 18-20) (16:22)
Solving Equations with Exponentials (p. 21-22) (11:52)
Summary of Log and Exponent Rules (p. 23) (3:53)

Exponential & Logarithmic Functions — Practice Exam Questions

Practice Exam Questions
Practice Exam Questions Answer Key
Graphing Exponential Functions Practice Exam Solutions (31:14)
Solving Exponential Equations Practice Exam Solutions (7:16)
Graphing Log Functions Practice Exam Solutions (21:51)
Log Rules Practice Exam Solutions (10:58)
Solving Equations with Logs Practice Exam Solutions (22:49)

Applications of Logs and Exponents — Topic Review (⏱️ <49 min)

Study Guide (fill this in as you watch the videos!)
Finance Applications - Overview (p. 3-5) (15:31)
Effective Rate of Interest (p. 6) (6:20)
Present Value (p. 7) (5:40)
Exponential Growth and Decay (p. 8-10) (21:10)

Applications of Logs and Exponents — Practice Exam Questions

Practice Exam Questions
Practice Exam Questions Answer Key
Finance Applications Practice Exam Solutions (6:54)
Exponential Growth and Decay Practice Exam Solutions (7:10)

Solving Systems of Linear Equations — Topic Review (⏱️ <36 min)

Study Guide (fill this in as you watch the videos!)
Classifying Solutions to Systems of Equations (p. 3-5) (5:57)
Solving Systems of Equations by Substitution (p. 6) (5:16)
Solving Systems of Equations by Elimination (p. 7) (5:53)
Inconsistent Systems of Equations (p. 8) (3:06)
Dependent Equations (p. 9) (3:19)
Word Problems with Systems of Equations (p. 10-12) (11:40)

Solving Systems of Linear Equations — Practice Exam Questions

Practice Exam Questions
Practice Exam Questions Answer Key
Solving Systems of Equations in Two Variables Practice Exam Solutions (17:35)
Applications of Systems of Equations Practice Exam Solutions (12:07)

Sh*t You Forgot from Algebra 1

Study Guide (fill this in as you watch the videos!)
Special Products and Factoring (p. 3-6) (19:55)
General Tips for Solving Word Problems (p. 7) (5:25)
The Pythagorean Theorem (p. 8) (5:10)
Common Geometry Formulas (p. 9-10) (3:19)
Algebraic Expressions (p. 11) (5:43)
Exponent Rules (p. 12-13) (8:08)
Square Roots (p. 14) (2:45)
Monomials and Polynomials (p. 15-16) (5:57)
Sets (p. 17-18) (8:47)
Some Perfect Roots You Should Memorize (p. 19) (5:00)
Radical Rules (p. 20) (4:28)
Combining Like Terms with Radicals (p. 21) (3:26)
Rationalizing a Denominator (p. 22) (5:43)
Fractional (Rational) Exponents (p. 23-25) (18:53)
Multiplying and Dividing Fractions (Rational Expressions) (p. 26-28) (10:16)
Adding and Subtracting Fractions (Rational Expressions) (p. 29-30) (16:24)

Solving Systems of Equations in Two Variables Practice Exam Solutions

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