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Lesson 1.3 Creating and Solving Equations

Learn step-by-step method to create and solve equations from word problems. Examples provided to practice and improve math skills effectively.

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Lesson 1.3 Creating and Solving Equations

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  1. Lesson 1.3 Creating and Solving Equations EQ: How can I create and use equations to solve word problems? (Standard A.CED.1)

  2. How to create equations from word problems • Steps: • Read the problem carefully. • Make a table or chart of the known quantities. • Identify the unknown variable. • Create an equation from the known quantities and unknown variable. • Solve the equation. • Interpret the results in terms of the problem and convert units when appropriate.

  3. Remember to Look for Keywords! Key Words preceding Equal Sign = Is Was Total of

  4. Example 1 • It costs Raquel $5 in tolls to drive to work and back each day, plus she uses 3 gallons of gas. It costs her a total of $15.50 to drive to work and back each day. How much per gallon is Raquel paying for her gas?

  5. Example 2 • Brianna has saved $600 to buy a new TV. If the TV she wants costs $1,800 and she saves $20 a week, how many years will it take her to buy the TV?

  6. You try! • Malik spent $30 at the mall. He bought a shirt for $25.50 and 3 cookies. Write an equation representing how much each cookie cost.

  7. The Evolution of the cell phone

  8. Example 3 • A smartphone is on sale for 25% off its list price. The sale price of the smartphone is $149.25. Write an equation to represent the original list price of the smartphone?

  9. Example 4 • Helen purchased 3 copies of a book online at a 20% discount. She also paid $10 for shipping that was not discounted. How much was the original price of one copy of the book if her total ended up being $40?

  10. You try! • James earns $15 per hour as a teller at a bank. In one week, he pays 17% of his earnings in state and federal taxes. His take-home pay for the week is $460.65. How many hours did James work?

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