Utilizing Math in Everyday Life: Solving Real-World Problems with Algebra

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Explore how to apply algebraic concepts in real-life scenarios through setting up systems of equations from word problems. Practice tasks involve finding unknown numbers based on relationships of sums, differences, and multiples. Enhance your math skills by identifying variables, recognizing patterns, and solving equations effectively.


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  1. 1/18 School HOLIDAY 1/18 School HOLIDAY MLK, Jr. Day No school for staff or students.

  2. 1/19 Warm Up 1/19 Warm Up- - Tuesday Math in everyday life. Think of a time you, a family member, or a friend had to compare the cost of products. Choose a thinking map and fill in descriptions, events, or sequences.

  3. 1/19 Objective 1/19 Objective I will recognize that math can be used in everyday situations by writing an essay explaining how I can apply concepts from algebra to solve problems in real life.

  4. 1/19 Concept Builder 1/19 Concept Builder Setting up System of Equations from word problems. 1. Identify variables. 2. Look for patterns. (how many vs. how much) 3. Set up equations. 4. Solve using best choice

  5. 1/19 Practice 1/19 Practice 1. The sum of two numbers is 30 and their difference is 12. Find the two numbers. Identify variables. Look for patterns. Set up equations. Solve.

  6. 1/19 Concept Builder 1/19 Concept Builder

  7. 1/19 Practice 1/19 Practice 3. The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers. Identify variables. Look for patterns. Set up equations. Solve.

  8. 1/19 Concept Builder 1/19 Concept Builder

  9. 1/19 Practice 1/19 Practice 5. The sum of two numbers is 20. The difference between three times the first number and twice the second is 40. Find the two numbers. Identify variables. Look for patterns. Set up equations. Solve.

  10. 1/19 Concept Builder 1/19 Concept Builder

  11. 1/19 1/19 Warm Up Warm Up- - Wednesday Hints: There is an equal sign in the problem so we can use y=. The answer choices are in a table so we can go to 2nd Graph to see tables. Which answer choice matches the table on the calculator?

  12. 12/16 Objective 12/16 Objective I will be able to set up a system of equations from situations and solve using matrix on calculator.

  13. 12/16 Concept Review 12/16 Concept Review Setting up System of Equations from word problems. 1. Identify variables. 2. Look for patterns. (how many vs. how much) 3. Set up equations. 4. Solve using best choice

  14. 12/16 Practice 12/16 Practice 6. The sum of two numbers is 25. One number is twice the second number plus seven. What are the two numbers? Identify variables. Look for patterns. Set up equations. Solve.

  15. 12/16 Practice 12/16 Practice 7. The cost of three boxes of envelopes and four boxes of notebook paper is $13.25. Two boxes of envelopes and six boxes of notebook paper cost $17. Find the cost of each. Identify variables. Look for patterns. Set up equations. Solve.

  16. 12/16 Practice 12/16 Practice 13. A group of 40 children attended a baseball game on a field trip. Each child received either a hot dog or bag of popcorn. Hot dogs were $2.25 and popcorn was $1.75. If the total bill was $83.50, how many hotdogs and bags of popcorn were purchased? Identify variables. Look for patterns. Set up equations. Solve.

  17. 12/16 Practice 12/16 Practice 14. One night a theater sold 548 movie tickets. An adult s ticket costs $6.50 and a child s ticket cost $3.50. In all, $2881 was taken in. How many of each kind of ticket were sold? Identify variables. Look for patterns. Set up equations. Solve.

  18. 12/16 Practice 12/16 Practice 15. Adult tickets for the school musical sold for $3.50 and student tickets sold for $2.50. On a given night, 321 tickets were sold for $937.50. How many of each kind of ticket were sold? Identify variables. Look for patterns. Set up equations. Solve.

  19. 12/16 Practice 12/16 Practice 16. A collection of dimes and nickels is worth $3.30. If there are 42 coins in all, how many of each kind of coin are there? Identify variables. Look for patterns. Set up equations. Solve.

  20. 12/16 Practice 12/16 Practice 17. Mary has a collection of nickels and quarters for a total value of $4.90. If she has 42 coins total, how many of each kind are there? Identify variables. Look for patterns. Set up equations. Solve.

  21. 12/17: Warm Up 12/17: Warm Up- - Thursday Hints: There is an equal sign in the problem so we can use y=. Because the answer choices are not in graph or table we need more info. Do we know what n or r is? Fill in new info and solve.

  22. 12/17 Objective 12/17 Objective I will be able to set up a system of equations from situations and solve using matrix on calculator.

  23. 12/17 Practice 12/17 Practice 16. A collection of dimes and nickels is worth $3.30. If there are 42 coins in all, how many of each kind of coin are there? Identify variables. Look for patterns. Set up equations. Solve.

  24. 12/17 Practice 12/17 Practice 17. Mary has a collection of nickels and quarters for a total value of $4.90. If she has 42 coins total, how many of each kind are there? Identify variables. Look for patterns. Set up equations. Solve.

  25. 12/17 Assignment 12/17 Assignment Unit 5: Systems of Equations & Inequalities Homework 6: System Word Problems Problem numbers 1-5. 1. Set up variables: x = one number y = another number 2. Set up variables: x = small cups y = large cups 3. Set up variables: x = chicken dinner y = steak dinner 4. Set up variables: x = adult tickets y = student tickets 5. Set up variables: x = left handed gloves y = right handed gloves

  26. 12/18: 12/18: Warm Up Warm Up Friday

  27. 12/18 Objective 12/18 Objective I will be able to set up a system of equations from situations and solve using matrix on calculator.

  28. 12/18 Assignment 12/18 Assignment Set Up Equations from Word Problems- 1. Match Situation to Equation 2. Solve using matrix.

  29. ~Happy Holidays~ ~Happy Holidays~ Please enjoy hot chocolate and popcorn after you complete your assignment. Everyone have a safe and happy break! Rest and be ready for the rest of our rocking school year!

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