Solving equations
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Transcript

  • 1. Section 3.1 Solving Equations Introduction
  • 2. ACT OPENER
    • What is 25% of 80 miles?
        • 0.8 miles
        • 24 miles
        • 80 miles
        • 20 miles
        • 8 miles
    • Convert 9/25 to a percentage.
        • 0.36%
        • 3.6%
        • 36%
        • 9%
        • 25%
    • A football team played 27 games and won ¾ of the games. How many games did they lose?
    • If 2.5 pounds of apples cost $2.35 at Kroger and 3 pounds of apple cost $2.70 at Wal-Mart, which store offers the best deal per pound?
  • 3. A little background information:
    • Two soccer teams are tied at half time: 2 to 2
      • 2 = 2
    • If each team scores 3 goals in the next half, the score will now be tied.
      • 2 + 3 = 2 + 3
    • Addition Property of Equality
      • If the same number is added to equal numbers, the sums are equal.
  • 4. A little more background info….
    • Two sporting goods store charge $36 for a soccer ball.
      • 36 = 36
    • If during a spring sale, each store reduces the price by $5, both stores will be charging the same price.
      • 36 -5 = 36 -5
    • If the same number is subtracted from equal numbers, the differences are equal.
    • The same holds true for multiplication and division.
  • 5. The Keys to Solving Equations
    • Use the Properties of Equality
      • “ Whatever you do to one side of the equal sign, do the same thing to the opposite side of the equal sign.”
      • Ex: If you multiply by -1 on the left side, then you must multiply by -1 on the right side.
    • Use the opposite operation to solve equations.
      • The opposite of addition is _______________.
      • The opposite of subtraction is _______________.
      • The opposite of multiplication is _______________.
      • The opposite of division is _________________.
    • MOST IMPORTANTLY, SHOW ALL OF YOUR WORK!
    subtraction addition multiplication division
  • 6. Practice with One-Step
    • x + 8 =19
    • x – 3 =5
    • 3x = 12
  • 7. Practice with Two-Step
    • 5.) 2x – 7 = 13
    • 6.)
    7.) 5x + 4 = 29 8.)
  • 8. Practice with Distributive Property
    • We use the distributive property to eliminate the parentheses (or groupings).
    • 9.) 2(2x + 6) = 20 10.) 6(x-3) = 24
  • 9. Practice combining like terms
    • 11.) 2x + 6x = 30 12.) 7x + 8 – 3x = 32
  • 10. Solving Equations Relay
  • 11. Exit Slip
  • 12. Homework
    • Worksheet: Solving Basic Equations (page 21)