1 / 8

Solving Linear Equations with Variables on Both Sides: Practice and Examples

This guide provides a comprehensive approach to solving linear equations with variables on both sides. Learn the step-by-step methods for isolating variables, combining like terms, and solving for unknowns using practical examples. The content includes a real-world application for determining cost comparisons and rental options, as well as practice problems for reinforcing your skills. Ensure you always double-check your answers for accuracy and confidence in your solution.

kaden
Télécharger la présentation

Solving Linear Equations with Variables on Both Sides: Practice and Examples

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Ch. 2.4

  2. POD • A + 27.7 = -36.6 • M = -4.2 12

  3. Equations with variables on both sides Solve: 6x + 3 = 8x - 21 First we want to get x on one side…. 6x + 3 = 8x – 21 -6x -6x 3 = 2x – 21 +21 + 21 24 = 2x 12 = X Subtract 6x from both sides and combine like terms Add 21 to both sides 2 2 Divide both sides by 2

  4. Example 2: -6d = d + 4 -d -d -6d = d + 4 -7d = 4 D = -4/7 -7 -7 Practice: • Solve: m – 5 = 3m • Solve: 2(c – 6) = 9c +2 M = -5/2 C = -2

  5. You can buy used in-line skates from your friend for $40, or you can rent some. Either way you must rent safety equipment. How many hours must you skate for the cost of renting and buying skates to be the same? Skates & safety equipment $3.50 p/h Safety equipment $1.50 p/h Safety equipment rental Skates AND equipment rental Cost of friend’s skates + = **let h stand for the number of hours you must skate 40 + 1.5h = 3.5h -1.5h -1.5h 40 = 2h h = 20 2 2 ALWAYS DOUBLE CHECK YOUR ANSWER!!!

  6. A hairdresser is considering ordering a certain shampoo. Company A charges $4 per 8-oz bottle plus a $10 handling fee per order. Company B charges $3 per 8-oz bottle plus a $25 handling fee per order. How many bottles must he hairdresser buy to justify using Company B? (how many bottles do you have to buy in order for both companies to cost the same?) 15 bottles

  7. Practice #17 from homework: One telephone company charges $16.95 per month and $.05 per minute for local calls. Another company charges $22.95 per month and $.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?

  8. Homework Pages 98-99 #’s 1-20all

More Related