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1-4 The Distributive Property 1-5 Equations

1-4 The Distributive Property 1-5 Equations. CCSS: A.SSE.1a, A.SSE.2, A.CED.1. Example 1: Evaluate Expressions. John burns approximately 420 calories per hour by inline skating. The chart below shows the time he spent inline skating in one week.

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1-4 The Distributive Property 1-5 Equations

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  1. 1-4 The Distributive Property1-5 Equations CCSS: A.SSE.1a, A.SSE.2, A.CED.1

  2. Example 1: Evaluate Expressions John burns approximately 420 calories per hour by inline skating. The chart below shows the time he spent inline skating in one week. Determine the number of calories burned for the week

  3. Example 2: Real World A group of 7 adults and 6 children are going to a University of South Florida Bulls baseball game. Use the Distributive Property to write and evaluate an expression for the total ticket cost

  4. Example 3: Algebraic Expressions

  5. Vocabulary Use your textbook to define the following terms: • Like Terms • Simplest Form • Coefficient

  6. Like Terms- terms that contain the same variables, with corresponding variables having the same power • Simplest Form- contains no like terms or parentheses • Coefficient- the numerical factor

  7. Example 4: Combine Like Terms

  8. Example 5: Write and Simplify Expressions Use the expression twice the difference of 3x and y increased by five times the sum of x and 2y • Write an algebraic expression for the verbal expression • Simplify the expression and indicate the properties used

  9. Use the expression five times the difference of q squared and r plus eight times the sum of 3q and 2r • Write an algebraic expression for the verbal expression • Simplify the expression and indicate the properties used

  10. Example 6: Common Core The red cross is holding blood drives in two locations. In one day, Center 1 collected 715 pints and Center 2 collected 1035 pints. Write and evaluate an expression to estimate the total number of pints of blood donated over a 3 day period.

  11. Example 7: Common Core

  12. Vocabulary Open Sentence Equation Solving Solution Replacement Set Set Element Solution Set Identity

  13. Open Sentence-a mathematical statement that contains algebraic expressions and symbols Equation- a sentence that contains an equals sign Solving-finding a value for a variable that makes a sentence true Solution- replacement value Replacement Set-a set of numbers from which replacements for a variable may be chosen Set- collection of objects or numbers, shown using braces Element-each object or number in the set Solution Set-set of elements from the replacement set Identity- an equation that is true for every value of the variable

  14. Example 8

  15. Example 9: Solutions of Equations

  16. Example 10: Identities

  17. Example 11: Common Core The perimeter of a regular octagon is 128 inches. Find the length of each side

  18. Example 12: Common Core • Blood flow rate can be expressed as Where F is the flow rate, p1 and p2 are the initial and final pressure exerted against the blood vessel’s walls, respectively, and r is the resistance created by the size of the vessel. a. Write and solve an equation to determine the resistance of the blood vessel for an initial pressure of 100 millimeters of mercury, a final pressure of 0 millimeters of mercury, and a flow rate of 5 liters per minute

  19. c. Use the equation to complete the table below

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