Inequality Equation: 12x + 15y ≤ 3000 (1). 12x+ 15(0) 15y ≤ 3000 (2). 12(0) + 15y≤ 3000 12x ≤ 3000 15y≤ 3000 12x / 12 ≤ 3000/12 15y / 15 ≤ 3000/15 12x ≤ 250 15y≤200 The problem 46 on page 240 in the text book‚ Elementary and Intermediate Algebra asks that I evaluate an inequality equation that can satisfy the Ozark Company needs. (Dugopolski‚ M. 2012 )The paragraphs ask for an inequality that can allow the company to use 3000 board feet of maple lumber. Of the 3000 board feet of
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Algebra Review 1. Evaluate the expression 1 2 17 B) − 2 1 C) 2 17 D) 2 3a + 2b when a = -3 and b = -4. 2 A) − 2. Simplify: A) B) C) D) 17 29 16 30 3+5• 6 −4 3. Simplify: A) 40 B) 18 C) 34 D) 12 Evaluate: 1 7 − 1 5 − 1 5 1 7 6 − 2 • 2 + 25 4. 3x − y if x = 2‚ y = 8‚ and z = –2. 6z − x A) B) C) D) CPT Review 4/17/01 1 5. Simplify: A) B) C) D) –2 2 11 2 11 − 2 14 − 30 2(− 4 ) 6. Use the distributive property to simplify. A) B) C) D) − 4x + 30 −
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Al-Khwarizmi: The Father of Algebra Muhammed Ibn Musa al-Khwarizmi‚ was a mathematical pioneer‚ and is considered by many to be the greatest mathematician of the Islamic world‚ as well as the founder algebra. His book entitled Kitâb al-Mukhtasar fî Hisâb al-Jabr wa ’l-Muqâbala‚ which means “The Compendious Book on Calculation by Completion and Balancing‚” established algebra as an independent discipline. While his arithmetic work‚ possibly entitled Kitāb al-Jamʿ wa-l-tafrīq bi-ḥisāb al-Hind
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The invention of algebra from the ancient world has produced many opportunities for the modern world we live in today. According to the Webster’s Dictionary‚ “algebra by definition is the part of mathematics in which letters and other symbols are used to represent numbers and quantities in formulae and equations.” First and for most‚ algebra is divided into two different groups‚ the first group being “classical algebra”‚ which is solving equations and finding the unknown variable. The second group
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1) Evaluate each algebraic expression‚ given that x= -1‚ y=3‚ z=2‚ a =1/2‚ b= -2/3. a) b) c) 2) Determine the degree of each of the following polynomials. a) b) c) 3) Remove the symbols of grouping and simplify the resulting expressions by combining like terms. a) (x + 3y – z) – (2y – x +3z) + (4z – 3x +2y) b) c) 3 – {2x – [1 –(x +y)] + [x – 2y]} 4) Add the algebraic expressions in each of the following groups. a) b) 5) Subtract the algebraic expressions
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(I made this when I was a freshman. I’m now a Junior.) Why do we need to learn Algebra? What’s the point of learning Algebra in the first place? After all‚ all of the math leading up to Algebra that we learned growing up such as addition‚ multiplication‚ decimals‚ fractions‚ et cetera that seems to have a concrete meaning? This concept all deals with numbers‚ in some way or another‚ and because of this we can apply it to our daily lives like calculating‚ and in our chosen career. In short
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MAT222: Intermediate Algebra (GSQ1433A) Instructor Linda Seeger August 19‚ 2014 Solving Proportions This week I learned about solving proportions. Rightfully so‚ on this assignment I have to prove or show what I’ve learned and retained by solving two problems. In this essay I will attempt to solve two problems from our textbook‚ the first one is problem 56 located on page 437 and the second one is problem 10 located on page 444 of our Elementary and Intermediate Algebra textbook. During this
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Algebra has long been taught in the same way. This usually means teachers rely heavily on the textbook. Though some textbooks have changed in recent years‚ the central focus is till on paper and pencil‚ memorization of rules‚ and use of algorithms. The Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) asks mathematics teachers to seek activities that “model real-world phenomena with a variety of function” and “represent and analyze relationships using tables‚ verbal rules
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Algebra 2 PRACTICE Chapter 12 Test ____________________________ “…………………………..” 3/18/14 You may use a calculator for the entire test; however‚ the solutions for numbers 1 through 3 must be exact solutions—NO DECIMAL SOLUTIONS FOR THE FIRST PAGE. Do not rationalize. SHOW WORK ! I. Solve the following systems by either the substitution or the elimination (addition) method. Write your answers as ordered pairs/ordered triples.(These are worth 5 points each) 2. 6x+y-z=-22x+5y-z=2x+2y+z=5
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1314-MJ1E3 -V1 Level J Algebra First Two Weeks Sample Questions Exam 1. Solve‚ x ( x + 9 ) = 0. Reference: Algebra 1‚ Part 2‚ Chapter 8.7‚ Activity (1a)‚ Page 78 Solution: x = 0 or x = −9 2. Factor‚ x 2 + 5 x + 2 xy + 10 y. . Reference: Algebra 1‚ Part 2‚ Chapter 8.6.1 Activity 1 #(d)‚ Page 73 Solution: x 2 + 5 x + 2 xy + 10 y = x( x + 5) + 2 y ( x + 5) = ( x + 5)( x + 2 y ) 3. Factor‚ a 2 + 4 a − 32. Reference: Algebra 1 Part 2‚ Chapter 8.4.3‚ Activity (a)‚ Page 61
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