MATH 0701 Study Guide - Fall 2018, Comprehensive Midterm Notes - Ranjini, Temple University, Elementary Algebra
12 Oct 2018
School
Department
Course
Professor
MATH 0701
MIDTERM EXAM
STUDY GUIDE
Fall 2018
MATH 0701 / Elementary Algebra / Fall 2017
Temple University / Dr. Ranjini Muhunthan
Lecture Notes 1.1 – 1.3
Notes By: Kirstin Ortiz
Section 1.1 – Variables, Exponents, and Order of Operations –
(Objective. A) Identifying variables and constants
Variable – A symbol (usually a letter) that is used to represent a number
• Why are variables needed? – 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*
A) 6y
B) 5xy
C) 8
Algebraic Expression – Does not contain an equal sign (E.g. 6y)
• 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
3x3x3x3x3, we use
(Objective B) Reading and evaluating expressions raised to power
Expanded Form: 4x4x4
Exponent Form:
• Say as fou suaed, as fou to the thid power, et.
• Whe dietios sa to siplif a epessio, it eas sole to the simplest form
Formula:
x
=
Example 1) Write each expression as repeated multiplication (expanded form).
*Answers on Page 6*
A)
B)
C) �
find more resources at oneclass.com
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MATH 0701 / Elementary Algebra / Fall 2017
Temple University / Dr. Ranjini Muhunthan
Lecture Notes 1.1 – 1.3
Notes By: Kirstin Ortiz
Example 2) Write using exponents.
*Answers on Page 6*
A) x∙ ∙ ∙ ∙ ∙ ∙ ∙ z ∙ z
B) 4 ∙ 4 ∙ 4 ∙ ∙ ∙ ∙
(Objective C) Simplifying expressions involving more than one operation
Consider 3 + 4 ∙ 5 = 23. You will not get the correct answer unless you multiply first.
Procedure: Order of Operations:
1) Parentheses (or any grouping symbol)
2) Exponents
3) Multiplication (left to right)
4) Division (left to right)
5) Addition (left to right)
6) Subtraction (left to right)
*Use the Please Euse M Dea Aut “all o aothe eoi to eee these opeatios*
Example 1) Simplify the Expression.
*Answers on Page 6*
A) 12-10÷5∙3
B) 15-20-4∙2-3
C) 6(12-) +4
D) +÷
∙−
(Objective D) Evaluating expressions containing variables
Example 1) Let x = 3 and y = 4; evaluate.
*Answers on Page 6*
A) 4x+3y
4(3)+3(4)
12+12
Answer: 24
B) (8) ÷ (2y)
(8()) ÷ (2(4))
(8(27)) ÷ 8
216÷8
Answer: 27
find more resources at oneclass.com
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Document Summary
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).
