Algebra · Chapter 3 of 20

Inequalities

13 curated · 1,038 from open sources

Curated

#	Title	Difficulty	Source	Tags
6	The mean of two	Easy	Lemma	AM–GMSquares are nonnegative
766	Smallest integer solution	Easy	Lemma	Inequalities
767	x plus its reciprocal	Easy	Lemma	Inequalities
768	Squares below nine	Easy	Lemma	Inequalities
1644	Positive inequality product	Easy	Hall & Knight	InequalitiesAM-GM inequality
1645	Symmetric triple sum product	Easy	Hall & Knight	InequalitiesAM-GM inequality
1646	Quantity and reciprocal sum	Easy	Hall & Knight	InequalitiesReciprocals
1647	Cauchy-Schwarz case for two variables	Easy	Hall & Knight	InequalitiesCauchy-Schwarz
1648	Cauchy-Schwarz case for three variables	Easy	Hall & Knight	InequalitiesCauchy-Schwarz
1652	Symmetric Inequality	Easy	Hall & Knight	InequalitiesRearrangement Inequality
1657	Cube of Sum Inequality	Easy	Hall & Knight	AM-GM inequalityInequalities
1672	Logarithm bounds	Easy	Hall & Knight	InequalitiesLogarithms
1872	Minimum sum of reciprocals	Easy	Hall & Knight	InequalitiesAM-GM inequality

From open sources

1,038

Showing everything, including problems with no answer to check, a missing figure, or a near-copy elsewhere. Show only complete problems

#	Title	Difficulty
100004	Linear Equations in One Variable · Example 2	Easy
100013	Solving an Equation in One Variable	Easy
100015	Solving an Equation Algebraically When the Variable Appears on Both Sides	Easy
100017	Solving a Rational Equation	Easy
100018	Solving a Rational Equation without Factoring	Easy
100020	Solving a Rational Equation by Factoring the Denominator	Easy
100022	Solving Rational Equations with a Binomial in the Denominator	Easy
100023	Linear Equations in One Variable · Try It 5	Easy
100024	Solving a Rational Equation with Factored Denominators and Stating Excluded Values	Easy
100026	Finding the Slope of a Line Given Two Points	Easy
100028	Identifying the Slope and y-intercept of a Line Given an Equation	Easy
100029	Finding the Equation of a Line Given the Slope and One Point	Easy
100031	Finding the Equation of a Line Passing Through Two Given Points	Easy
100032	Finding the Equation of a Line and Writing It in Standard Form	Easy
100034	Finding the Equation of a Line Passing Through the Given Points	Easy
100040	Finding the Equation of a Line Perpendicular to a Given Line Passing Through a Given Point	Easy
100043	Linear Equations in One Variable · Exercise 20	Easy
100045	Linear Equations in One Variable · Exercise 22	Easy
100109	Use a Problem-Solving Strategy for word problems.	Easy
100115	Modeling a Linear Equation to Solve an Unknown Number Problem	Easy
100119	Solving an Application Using a Formula	Easy
100123	Solving an Area Problem	Easy
100125	Solving a Volume Problem	Easy
100360	Evaluating a Number Raised to a Rational Exponent	Easy
100362	Solve the Equation Including a Variable Raised to a Rational Exponent	Easy
100364	Solving an Equation Involving Rational Exponents and Factoring	Easy
100366	Solving a Polynomial by Factoring	Easy
100369	Solving an Equation with One Radical	Easy
100371	Solving a Radical Equation Containing Two Radicals	Easy
100373	Solving Absolute Value Equations	Easy
100375	Solving a Fourth-degree Equation in Quadratic Form	Easy
100377	Solving an Equation in Quadratic Form Containing a Binomial	Easy
100379	Solving a Rational Equation Leading to a Quadratic	Easy
100381	Other Types of Equations · Exercise 1	Easy
100383	Other Types of Equations · Exercise 3	Easy
100385	Other Types of Equations · Exercise 5	Easy
100430	Using Interval Notation to Express All Real Numbers Greater Than or Equal to a	Easy
100432	Using Interval Notation to Express All Real Numbers Less Than or Equal to a or Greater Than or Equal to b	Easy
100434	Demonstrating the Addition Property	Easy
100436	Demonstrating the Multiplication Property	Easy
100438	Solving an Inequality Algebraically	Easy
100440	Solving an Inequality with Fractions	Easy
100442	Solving a Compound Inequality	Easy
100448	Solving an Absolute Value Inequality	Easy
100451	Linear Inequalities and Absolute Value Inequalities · Exercise 1	Easy
100454	Linear Inequalities and Absolute Value Inequalities · Exercise 5	Easy
116002	Solve Equations Using the Subtraction and Addition Properties of Equality · Example 12	Easy
116088	Solve Equations using the Division and Multiplication Properties of Equality · Example 13	Easy
116091	Solve Equations using the Division and Multiplication Properties of Equality · Example 14	Easy
117079	Solve Applications with Linear Inequalities · Example 1	Easy