MATH 0701 Study Guide - Comprehensive Final Exam Guide - Ranjini, Temple University, Elementary Algebra

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Section 1. 1 variables, exponents, and order of operations (objective. Sometimes we do not know a number. Constant a fixed value (e. g. a birthday) Example 1) identify the constant and the variable. *answers on page 6: 6y, 5xy, 8. Algebraic expression does not contain an equal sign (e. g. If is does contain an equal sign, it is an equation: we use multiplication as an easier way to calculate repeated addition (e. g. instead of. 3+3+3+3+3, we use 3(5); parentheses indicate multiplication: we use exponents as an easier way to calculate repeated multiplication (e. g. instead of, whe(cid:374) di(cid:396)e(cid:272)tio(cid:374)s sa(cid:455) to (cid:862)si(cid:373)plif(cid:455)(cid:863) a(cid:374) e(cid:454)p(cid:396)essio(cid:374), it (cid:373)ea(cid:374)s sol(cid:448)e to the simplest form. Expanded form: 4x4x4 (objective b) reading and evaluating expressions raised to power. Exponent form: (cid:886)(cid:2871: say (cid:886)(cid:2870) as (cid:862)fou(cid:396) s(cid:395)ua(cid:396)ed(cid:863), (cid:886)(cid:2871) as (cid:862)fou(cid:396) to the thi(cid:396)d power(cid:863), et(cid:272). Formula: (cid:3028)(cid:3029) x (cid:3030)(cid:3031) = (cid:3028)(cid:3030)(cid:3029)(cid:3031: (cid:886)(cid:1877)(cid:2871, (cid:4666)(cid:884)(cid:1877)(cid:4667)(cid:2873, (cid:2872)(cid:1877)(cid:2871) Example 1) write each expression as repeated multiplication (expanded form).

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