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Solving Linear System Word Problems

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

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Solving Linear System Word Problems

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  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?

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