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# Concepts in Algebra MATH 2303

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This 11 page Class Notes was uploaded by Alvena McDermott on Saturday September 19, 2015. The Class Notes belongs to MATH 2303 at University of Houston taught by Staff in Fall. Since its upload, it has received 8 views. For similar materials see /class/208408/math-2303-university-of-houston in Mathmatics at University of Houston.

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Date Created: 09/19/15

M ath 23 03 Solving Equations In this lesson we ll review some techniques for solving equations and tackle the rst of the application problems Let s solve some equations In each example solve for X Example 1 7x79 12 1 1 1X L l 7 Xe Example 2 4 i 5 125 74 X110 Example3 g97 1 1 a 5 1 l 9 itquoti Example 4 4273x8 3 4 3 5 4 5 ExampleS 372x749 3 15L 539 LltJr of LLD 1 2x15 Exam le 6 iii p 3 2 4 W LE 19 909 Example 7 2x79 6x3 me quotbx 41 t 3 i rq LhLZVJ I 3 X739 83me m mQmVH G u lWPTm u if VIULP an 7 4 V 4f ul 3 3 I LtHI w J Q t u 4 3565 on wCchwameHok mQLLv 013531 rxt H lc LJP 0 H LKIF 39LJH I L LO u Zo mogctu r Example 10 3x275x7372x21 gb quotg lxirD i 154 M 39Zp399 3 39gt 393 391 34 Y4 6 a Vta wuu oers L we lt93 Proportions A proportion is a statement of equality between two fractions You can use cross multiplying to help you solve equations of this type If5 thenadbc providedb 0d 0 d 2x Examplell 9x 01 Z 5 7 mxts q 539 I 3 6 Example 12 x 4 77 3 2 llylLD Ebb O lxli 39 E CVQJ 3 79 39 A 3 39 9 4g 6 X 7 q 39 You can use proportions to solve problems Exam e 13 The cost for water in Houston is 405 per 750 gallons used What should be the bill for 12500 gallons used Cos l39 F Sihm S usr al 4 19 00 150 l I LL Losoch 150x goo 7 50quot J 1gD 150 0150 x 0 5M7 Example 14 Insulin comes in 10 cubic centimeter cc vials labeled inthe number of units of insulin per cubic centimeter of uid A vial of insulin marked U40 has 40 units of insulin per cubic centimeter of uid If a person needs 25 units of insulin how much uid should be drawn into the syringe from aU40 Vial x U1C Example 15 One can of paint covers 1950 square feet of wall space If you need to cover 4794 square feet of wall space how many cans of paint should you buy Set up a proportion and solve it Caun goglz l l 0 MSOK 1430 3C q7qu q qa l g b 144 g Clun Percent You should already be able to convert a decimal to percent and a percent to a decimal Example 16 Convert A 45 to a decimal H6070quot 3 B 0025 to percent 015 T 1570 Example 17 Compute 45 of 7000 W3 X 1000 DU L qgkloow Ioox 5 IUD avguoo J I00 x 73150 Example 18 What percent of2000 is 450 Lz blig 00 9000 1000 Q ngOD y J 3000 7 000 4 715 11 quot7o Example 19 300 is What percent of1450 x Boo DO H50 oooo Mg v v0 I o 107 I 9 Example 20 About 21 of a school population is enrolled in rst grade How many students attendthe school he a 50 H5 svaDiGVS auxAWN h 943 E000 3 g 11 i Example 21 About 450 ofthe students taking Math 1314 are in one ofmy classes There are a total of 735 students taking Math 1314 this semester What percent of them are in my classes x 1573 I f 3900 1775 HWLW D usooo 175Vi 4 15 K ct Example 22 Reliant Stadium holds about 75000 fans during RodeoHouston 92 of the tickets for the Pat Green concert are already sold How many seats are le for that concert q 7D Si 9 X 39 100 ngooo loan 1150003 100x pooooo 100 loo Kiteooo

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