1 / 12

Solving Linear System Word Problems

Learn how to solve word problems involving linear systems of equations and inequalities algebraically and graphically.

cbrush
Download Presentation

Solving Linear System Word Problems

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. Bell Work 2/25/2015 Solve the system by linear combination.

  2. Yesterday’s Homework • Any questions? • Please pass your homework to the front. • Make sure the correct heading is on your paper. • Is your NAME on your paper? • Make sure the homework is 100% complete. • Incomplete work will NOT be accepted.

  3. Heading 12/21/2019 Solving Systems by Elimination (word prob.) TSWBAT: solve a linear system word problem. Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.

  4. Notes • Steps for Solving Linear System Word Problems 1. Mark the text. - Underline what you think is important. (numbers) - Circle any key terms or vocabulary. - Double-underline the question. 2. Label the variables. 3. Create your equation(s). - For this section you will have two of the form: 4. Solve. 5. Check your answer. Does it make sense?

  5. Notes Ex. A math test has a total of 25 problems. Some problems are worth 2 points and some are worth 3 points. The whole test is worth 63 points. How many 2-point problems were there? 1. Mark the text. # of 2-point problems x = 2. Label variables. # of 3-point problems y = 3. Create equations. 4. Solve. 5. Check.

  6. Notes Ex. Mrs. Smith took her family and friends to the movies. There were a total of 15 people. Children tickets cost $5 and adult tickets cost $10. She spent a total of $110. How many adults went to the movies? 1. Mark the text. # of children x = 2. Label variables. # of adults y = 3. Create equations. 4. Solve. 5. Check.

  7. Notes Ex. Jimmy has a pocket full of quarters and dimes. There are a total of 40 coins. When he added it up he counted $5.50. How many quarters does he have in his pocket? 1. Mark the text. # of quarters x = 2. Label variables. # of dimes y = 3. Create equations. 4. Solve. 5. Check.

  8. Notes Ex. For Valentines Day Mark bought his mom 15 flowers, a mixture of roses and daisies. The roses cost $1.10 each and the daisies cost $1.45 each. If he spent $19.65, how many daisies did he buy? 1. Mark the text. # of roses x = 2. Label variables. # of daisies y = 3. Create equations. 4. Solve. 5. Check.

  9. Summary • When solving a word problem first _____ the text. Second label your ________. After creating your two equations then just _____ the system. Be sure to _____ your answer and make sure it makes _____. • mark • variables • solve • sense • check

  10. Today’s Homework • Rules for Homework • Pencil ONLY. • Must show all of your work. • NO WORK = NO CREDIT • Must attempt EVERY problem. • Always check your answers.

  11. Homework 6.3D Solve the word problem. 1. A math test has a total of 30 problems. Some problems are worth 2 points and some are worth 4 points. The whole test is worth 72 points. How many 4-point problems were there? 2. Mrs. Smith took her family and friends to the movies. There were a total of 16 people. Children tickets cost $6 and adult tickets cost $9. She spent a total of $129. How many children went to the movies? 3. Jimmy has a pocket full of quarters and dimes. There are a total of 32 coins. When he added it up he counted $5.60. How many dimes does he have in his pocket?

  12. Ticket Out the Door • Complete the Ticket Out the Door without talking!!!!! • Talking = time after the bell! • Put your NAME on the paper. • When finished, turn your paper face DOWN. • Solve the word problem. • For Valentines Day Mark bought his mom 12 flowers, a mixture of roses and daisies. The roses cost $1.20 each and the daisies cost $1.50 each. If he spent $15.00, how many roses did he buy?

More Related