Fifth Ed. - Algebra

Online Resources

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• 6 Computer Adaptive Practice Exams

  Manhattan GMAT’s Computer Adaptive Exams adapt to your ability level and draw from a bank of more than 1200 unique questions of varying difficulty written by Manhattan GMAT's expert Instructors. Questions reflect the most up-to-date GMAT content, including the new Integrated Reasoning section.

• Algebra Online Question Bank

  All questions included in this bank (25 total) draw from the subject of Algebra and are written by Manhattan GMAT's expert Instructors. All Manhattan GMAT question banks include questions of varying difficulty levels.

Chapter by Chapter

1. PEDMAS

   Subtraction of Expressions; Fraction Bars as Grouping Symbols

2. Linear Equations

   Expressions vs. Equations; Solving One-Variable Equations; Simultaneous Equations: Solving by Substitution; Simultaneous Equations: Solving by Combination; Simultaneous Equations: Three Equations; Absolute Value Equations

3. Exponents

   All About the Base; Combining Exponential Terms with Common Bases; Factoring Out a Common Term; Equations with Exponents; Same Base or Same Exponent

4. Roots

   A Square Root Has Only One Value; Roots and Fractional Exponents; Simplifying a Root; Imperfect vs. Perfect Squares; Simplifying Roots of Imperfect Squares; Memorize: Squares and Square Roots; Memorize: Cubes and Cube Roots

5. Quadratic Equations

   Factoring Quadratic Equations; Disguised Quadratics; Taking the Square Root; Going in Reverse: Use FOIL; Using FOIL with Square Roots; One-Solution Quadratics; Zero in the Denominator: Undefined; The Three Special Products

6. Formulas

   Plug-In Formulas; Strange Symbol Formulas; Formulas with Unspecified Amounts; Sequence Formulas; Recursive Sequences; Sequence Problems: Alternate Method; Sequences and Patterns

7. Inequalities

   Much Like Equations, With One Big Exception; Combining Equalities: Line ‘Em Up!; Manipulating Compound Inequalities; Combining Inequalities: Add ‘Em Up!; Inequalities and Absolute Value; Square-Rooting Inequalities

8. Algebra Strategies

   Data Sufficiency Basics; What Does “Sufficient“ Mean?; The DS Process; Putting it All Together; Putting it All Together (Again); Combos; Combos and Special Products; Combos and Equations; Mismatch Problems; Inequalities and Data Sufficiency; Testing Inequality Cases; Fractions, Exponents, & Roots; Replacing Variables with Numbers

9. Extra Equations Strategies

   Complex Absolute Value Equations; Integer Constraints; Multiplying or Dividing Two Equations; Quadratic Formula; Using Conjugates to Rationalize Denominators

10. Extra Functions Strategies

    Numerical Substitution; Variable Substitution; Compound Functions; Functions with Unknown Constants; Function Graphs; Common Function Types; Uncommon Function Types

11. Extra Inequalities Strategies

    a. Optimization Problems; Reciprocals of Inequalities; Squaring Inequalities

12. Appendix A: Official Guide Problem Sets

    Official Guide Problem Sets; Problem Solving set; Data Sufficiency Set

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