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Entrance Exam AIR 1 Preparation
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Module 1
Algebra Foundations for the PCB-to-IPMAT Bridge
1
Simplifying Algebraic Expressions with Order, Signs, and Fractions
Apply order-of-operations, sign, and fraction rules to simplify algebraic expressions.
Apply order-of-operations, sign, and fraction rules to simplify algebraic expressions.
2
Translating Verbal Relationships into Algebraic Expressions and Equations
Translate verbal relationships into algebraic expressions and one-variable equations.
Translate verbal relationships into algebraic expressions and one-variable equations.
3
Applying Laws of Exponents
Apply exponent laws, including zero, negative, and fractional exponents.
Apply exponent laws, including zero, negative, and fractional exponents.
4
Simplifying Square Roots and Surds
Simplify expressions containing square roots and surds.
Simplify expressions containing square roots and surds.
5
Expanding Algebraic Expressions Using Identities
Expand algebraic expressions using standard algebraic identities.
Expand algebraic expressions using standard algebraic identities.
6
Factoring Algebraic Expressions Using Common Factors and Identities
Factor algebraic expressions using common factors and standard identities.
Factor algebraic expressions using common factors and standard identities.
7
Solving Linear Equations with Integer and Fractional Coefficients
Solve one-variable linear equations containing integer or fractional coefficients.
Solve one-variable linear equations containing integer or fractional coefficients.
8
Solving Ratio, Proportion, and Variation Equations
Form and solve equations involving ratios, proportions, and variation.
Form and solve equations involving ratios, proportions, and variation.
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