Algebra-1 Problems

1. Introduction to Algebra

1.1 Algebraic Expressions, Order of Operations

(Total # of Question Templates: 11)

1.2 Simplifying expressions

(Total # of Question Templates: 3)

1.3 Exponents

(Total # of Question Templates: 20)

1.4 Parentheses, Associative Properties

(Total # of Question Templates: 5)

1.5 Distributive Property, Factoring

(Total # of Question Templates: 11)

1.6 Writing Expressions

(Total # of Question Templates: 9)

1.7 Equations

(Total # of Question Templates: 2)

1.8 Formulas

(Total # of Question Templates: 8)

2. Integers and Rational Numbers

2.1 Integers, Number Line, Absolute Value

(Total # of Question Templates: 9)

2.2 Rational Numbers

(Total # of Question Templates: 8)

2.3 Addition with/without Number Line

(Total # of Question Templates: 13)

2.4 Subtraction with/without Number Line

(Total # of Question Templates: 6)

2.5 Multiplying Rational Numbers

(Total # of Question Templates: 8)

2.6 Dividing Rational Numbers

(Total # of Question Templates: 5)

2.7 Distributive Property over Subtraction, Factoring

(Total # of Question Templates: 10)

2.8 Inverse of a Sum, Parentheses

(Total # of Question Templates: 12)

2.9 Write an Equation

(Total # of Question Templates: 2)

3. Equations

3.1 Addition Property of Equality

(Total # of Question Templates: 7)

3.2 Multiplication Property of Equality

(Total # of Question Templates: 13)

3.3 Collecting Like Terms and Parentheses in Equations

(Total # of Question Templates: 10)

3.4 Phrases to Algebraic Expressions

(Total # of Question Templates: 17)

3.5 Variables/Parentheses on Both Sides of the Equation

(Total # of Question Templates: 12)

3.6 Formulas

(Total # of Question Templates: 4)

3.7 Equations with Absolute Values

(Total # of Question Templates: 3)

3.8 Proportions

(Total # of Question Templates: 15)

3.9 Percentages

(Total # of Question Templates: 18)

3.10 Compound Phrases to Algebraic Expressions

(Total # of Question Templates: 7)

4. Inequalities

4.1 Solutions and Graphs of Inequalities

(Total # of Question Templates: 8)

4.2 Addition Property of Inequalities

(Total # of Question Templates: 5)

4.3 Multiplication Property of Inequalities

(Total # of Question Templates: 6)

4.4 Addition and Multiplication Property of Inequalities

(Total # of Question Templates: 14)

4.5 Phrases to Inequalities

(Total # of Question Templates: 13)

5. Exponents and Polynomials

5.1 Multiplying and Dividing using exponents

(Total # of Question Templates: 28)

5.2 Raising a Power to a Power

(Total # of Question Templates: 27)

5.3 Multiplying and Dividing Monomials

(Total # of Question Templates: 12)

5.4 Scientific Notation

(Total # of Question Templates: 16)

5.5 Identifying Terms, Factors, and Coefficients

(Total # of Question Templates: 14)

5.6 Polynomials

(Total # of Question Templates: 16)

5.7 Addition of Polynomials

(Total # of Question Templates: 9)

5.8 Substraction of Polynomials

(Total # of Question Templates: 11)

5.9 Multiplying Monomials and Binomials

(Total # of Question Templates: 12)

5.10 Formulas

(Total # of Question Templates: 15)

5.11 Multiplying Polynomials

(Total # of Question Templates: 6)

5.12 Multiplication and Addition of Polynomials

(Total # of Question Templates: 3)

6. Polynomials and Factoring

6.1 Factoring When Terms Have Common Factor

(Total # of Question Templates: 21)

6.2 Recognizing and Factoring Differences of Two Squares

(Total # of Question Templates: 10)

6.3 Recognizing and Factoring Trinomial Squares

(Total # of Question Templates: 5)

6.4 Factoring Trinomials

(Total # of Question Templates: 11)

6.5 Factoring by Grouping

(Total # of Question Templates: 12)

6.6 Factoring: A General Strategy

(Total # of Question Templates: 35)

6.7 Principle of Zero Products

(Total # of Question Templates: 23)

6.8 Problem Solving: Using Equations

(Total # of Question Templates: 7)

7. Graphs and Linear Equations

7.1 Graphing Coordinates

(Total # of Question Templates: 4)

7.2 Graph Solution to Equations in Two Variables

(Total # of Question Templates: 10)

7.3 Linear Equations on Graphs

(Total # of Question Templates: 13)

7.4 Slope of a Line

(Total # of Question Templates: 11)

7.5 Graphing using Slope-Intercept Equation

(Total # of Question Templates: 7)

7.6 Slope-Intercept and Point-Slope Equation

(Total # of Question Templates: 7)

7.7 Graph to Equations

(Total # of Question Templates: 6)

7.8 Parallel and Perpendicular Lines

(Total # of Question Templates: 10)

7.9 Other Problems

(Total # of Question Templates: 2)

8. Systems of Equations

8.1 Solutions by Graphing

(Total # of Question Templates: 6)

8.2 Substituting for a Variable

(Total # of Question Templates: 19)

8.3 Addition Method, using Multiplication Property

(Total # of Question Templates: 16)

8.4 Identifying number of solutions

(Total # of Question Templates: 6)

8.5 Other Problems

(Total # of Question Templates: 10)

8.6 Motion Problems

(Total # of Question Templates: 3)

8.7 Digit/Coin/Weight Problems

(Total # of Question Templates: 3)

9. Inequalities and Absolute Values

9.1 Sets: Intersection and Union

(Total # of Question Templates: 6)

9.2 Conjunctions and Intersections, Disjunctions and Unions

(Total # of Question Templates: 29)

9.3 Absolute Value Equations

(Total # of Question Templates: 5)

9.4 Absolute Value Inequalities

(Total # of Question Templates: 18)

9.5 Inequalities in Two Variables, Graphing

(Total # of Question Templates: 8)

9.6 Graphing Systems of Linear Inequalities

(Total # of Question Templates: 8)

10. Rational Expressions and Equations

10.1 Rational Expressions

(Total # of Question Templates: 6)

10.2 Multiplying Rational Expressions

(Total # of Question Templates: 14)

10.3 Dividing Rational Expressions

(Total # of Question Templates: 13)

10.4 Add/Subtract Expressions: Like Denominators

(Total # of Question Templates: 10)

10.5 Least Common Multiple, Add/Subtract: Unlike Denominators

(Total # of Question Templates: 23)

10.6 Rational Equations

(Total # of Question Templates: 11)

10.7 Dividing by Monomial/Binomial

(Total # of Question Templates: 11)

10.8 Complex Rational Expressions

(Total # of Question Templates: 3)

11. Radical Expressions and Equations

11.1 Square Roots, Real/Irrational Numbers

(Total # of Question Templates: 7)

11.2 Positive, Perfect Square Radicands

(Total # of Question Templates: 7)

11.3 Radical Expressions

(Total # of Question Templates: 11)

11.4 Multiplying Radical Expressions

(Total # of Question Templates: 12)

11.5 Dividing Radical Expression

(Total # of Question Templates: 22)

11.6 Adding/Substracting Radical Expression

(Total # of Question Templates: 28)

11.7 Radical Equations

(Total # of Question Templates: 31)

13. Quadratic Equations

13.1 Equations of the Form: ax^2 + b*x + c = 0

(Total # of Question Templates: 10)

13.2 Special Cases of Quadratic Equations

(Total # of Question Templates: 7)

13.3 Completing the Square in Quadratic Expressions

(Total # of Question Templates: 4)

13.4 Solving Equations by Completing the Square

(Total # of Question Templates: 7)

13.5 Number of Roots

(Total # of Question Templates: 13)

13.6 Solving Equations Using the Quadratic Formula

(Total # of Question Templates: 8)

13.7 Rational Equations

(Total # of Question Templates: 6)

13.8 Radical Equations

(Total # of Question Templates: 6)