Table of contents

Prepare for your exams

Upload your syllabus and get recommendations on what to study and when. No syllabus? Sharing your exam schedule works too.

Skip topic navigation

0. Review of Algebra(0)

Algebraic Expressions
(0)

Exponents
(0)

Polynomials Intro
(0)

Multiplying Polynomials
(0)

Factoring Polynomials
(0)

Radical Expressions
(0)

Simplifying Radical Expressions
(0)

Rationalize Denominator
(0)

Rational Exponents
(0)

1. Equations & Inequalities(0)

Linear Equations
(0)

Rational Equations
(0)

The Imaginary Unit
(0)

Powers of i
(0)

Complex Numbers
(0)

Intro to Quadratic Equations
(0)

The Square Root Property
(0)

Completing the Square
(0)

The Quadratic Formula
(0)

Choosing a Method to Solve Quadratics
(0)

Linear Inequalities
(0)

2. Graphs of Equations(0)

Graphs and Coordinates
(0)

Two-Variable Equations
(0)

Lines
(0)

3. Functions(0)

Intro to Functions & Their Graphs
(0)

Common Functions
(0)

Transformations
(0)

Function Operations
(0)

Function Composition
(0)

4. Polynomial Functions(0)

Quadratic Functions
(0)

Understanding Polynomial Functions
(0)

Graphing Polynomial Functions
(0)

Dividing Polynomials
(0)

Zeros of Polynomial Functions
(0)

5. Rational Functions(0)

Introduction to Rational Functions
(0)

Asymptotes
(0)

Graphing Rational Functions
(0)

6. Exponential & Logarithmic Functions(0)

Introduction to Exponential Functions
(0)

Graphing Exponential Functions
(0)

The Number e
(0)

Introduction to Logarithms
(0)

Graphing Logarithmic Functions
(0)

Properties of Logarithms
(0)

Solving Exponential and Logarithmic Equations
(0)

7. Systems of Equations & Matrices(0)

Two Variable Systems of Linear Equations
(0)

Introduction to Matrices
(0)

Determinants and Cramer's Rule
(0)

Graphing Systems of Inequalities
(0)

8. Conic Sections(0)

Introduction to Conic Sections
(0)

Circles
(0)

Ellipses: Standard Form
(0)

Parabolas
(0)

Hyperbolas at the Origin
(0)

Hyperbolas NOT at the Origin
(0)

9. Sequences, Series, & Induction(0)

Sequences
(0)

Arithmetic Sequences
(0)

Geometric Sequences
(0)

10. Combinatorics & Probability(0)

Factorials
(0)

Combinatorics
(0)

Probability
(0)

1. Equations & Inequalities

Choosing a Method to Solve Quadratics

1. Equations & Inequalities

Choosing a Method to Solve Quadratics: Videos & Practice Problems

Video Lessons Practice Worksheet

109 problems

Problem types you want to practice:

Problem 61Multiple Choice

Solve the following quadratic equation by using any of your preferred method: 2x²-5x+1=0

views

Problem 62Multiple Choice

Consider the following quadratic equation. Identify the number and type of its solutions without solving for x: 4x²=5+6x

views

Problem 63Multiple Choice

Solve the following quadratic equation by the use of quadratic formula: 4x²=-1+7x

views

Problem 64Multiple Choice

Solve the following equation by completing the square method: 2x²+8x+7=0

views

Problem 65Multiple Choice

Identify the term to be added on the given binomial that will result to a perfect square trinomial. After identifying the term, factor the perfect square trinomial: x²-9x

views

Problem 66Multiple Choice

Find the value of x for the following equation by the use of square root property:

Equation x²/2 - 7 = 2 from college algebra, chapter on equations and inequalities.

views

Problem 67Multiple Choice

Solve the following quadratic equation by factoring: 8x²+2x=15

views

Problem 68Multiple Choice

Solve the following equation by substitution method.

(x + 1/x)² - 10(x + 1/x) + 16 = 0

views

Problem 69Multiple Choice

Solve the following equation by substitution method.

(x - 2)² - 8(x - 2) - 9 = 0

views

Problem 70Multiple Choice

Solve the following equation by substitution method.

x^2/7 + x^1/7 - 2 = 0

views

Problem 71Multiple Choice

Find the value of x for the given radical equation and perform the checking of the solutions. (4x² -24x +4)^3/5 +8 = 0

views

Problem 72Multiple Choice

Solve the following equation by substitution method.

6x^{- 2} - 17x^{- 1} + 5 = 0

views

Problem 73Multiple Choice

Solve the following equation by substitution method.

x - 15√x + 54 = 0

views

Problem 74Multiple Choice

Evaluate the given equation by any suitable method : √(2x-1) = x

views

Problem 75Multiple Choice

Consider the given radical equation and solve for x: x - √ (3x-11) = 3

views

Problem 76Multiple Choice

Using absolute value properties, solve the following equation:

|x² + 7x + 8| = 2

views

Problem 77Multiple Choice

Using absolute value properties, solve the following equation:

|x² - 16| = x + 4

views

Problem 78Multiple Choice

Using absolute value properties, solve the following equation:

|2x² - 7x - 9| = 0

views

Problem 79Multiple Choice

Which of the following choices is the correct first step in solving the equation (c + 7)^2/3 - (c + 7)^1/3 - 17 = 0?

views

Problem 80Multiple Choice

In the following equation, solve for x.

2x - √(5 -19x) = 0

views

Problem 81Multiple Choice

In the following equation, solve for x.

√(17 -8x) = 2x+7

views

Problem 82Multiple Choice

In the following equation, solve for x.

√(24x +193) = 3x -2

views

Problem 83Multiple Choice

In the following equation, solve for x.

√(x+51) = x -5

views

Problem 84Multiple Choice

In the following equation, solve for x.

4√x-x+5=0

views

Problem 85Multiple Choice