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BELL WORK

BELL WORK. 4. x. 3 and 15. 3 and 15. Two step. Using the equation below, identify the following vocabulary terms. 4x + 3 = 15 1.) Coefficient 2.) Variable 3.) Constant 4.) Like Terms 5.) Is this a one or two step equation?. HANDS ON EQUATIONS. LESSON 6 DISTRIBUTIVE PROPERTY.

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BELL WORK

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  1. BELL WORK 4 x 3 and 15 3 and 15 Two step Using the equation below, identify the following vocabulary terms. 4x + 3 = 15 1.) Coefficient 2.) Variable 3.) Constant 4.) Like Terms 5.) Is this a one or two step equation?

  2. HANDS ON EQUATIONS LESSON 6 DISTRIBUTIVE PROPERTY

  3. REMEMBER… Your scale/equation must stay balanced. Whatever you do on one side, you must do the same thing on the other. Start by combining like terms on each side of the equal sign. Make sure to get all of the variables on one side and all of the constants on the other. Remember to check your work.

  4. DISTRIBUTIVE PROPERTY Let’s review the distributive property. The addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac. So what does this mean?

  5. DISTRIBUTIVE PROPERTY This means, that if you have 3(4 + 2) You can do either of the following. 3(4 + 2) = 3(6) = 18 OR 3(4) + 3(2) = 12 + 6 = 18 So, let’s try the distributive property with a variable…

  6. PRACTICE SHEET #6 Let’s use the distributive property. What will the new equation look like when we distribute the 2? 2x + 6 = 10 - This we can solve. - 6 =- 6 2x =4 Divide both sides by 2 x =2 2 (2 + 3) = 10 2 (5) = 10 10 = 10 2 (x + 3) = 10 What’s our first step?

  7. PRACTICE SHEET #6 2x + 6 = 9 + x Now get everything with a variable to one side of the equal sign and everything without a variable to the other side. 2x + 6 = 9 + x - 6 =- 6 2x = 3 + x - x - x x = 3 • 2 (3 + 3) = 9 + 3 2 (6) = 12 12 = 12 2 (x + 3) = 9 + x

  8. PRACTICE SHEET #6 4x + 2 = 3x + 8 -3x = -3x x + 2 = 8 -2= -2 x = 6 And of course, don’t forget to check your work! 2(2x + 1) = 3x + 8

  9. PRACTICE SHEET #6 4x + 6 = x +9 x = 1 2(2x + 3) = x +9

  10. BRAIN BREAK – NAME 5 Name 5 animals that start with the letter P. The first two teams to name 5 items in the following category will win their choice of a Spartan Buck or Tootsie Rolls.

  11. EXTRA PRACTICE 4x + 4 = 20 x =4 2(2x + 2) = 20

  12. EXTRA PRACTICE 5 = x • 5 + 6 = 2(5) +1 • 11 = 10 +1 • 11 = 11 x + 6 = 2x + 1

  13. EXTRA PRACTICE 5x + 3 = 8 x = 1 x + 2x + x + x + 3 = 8 Start by combining like terms.

  14. EXTRA PRACTICE 3x + 3 + 2= 2x + 10 Can you combine any like terms? x = 5 Let’s check the work. 3(5+1) + 2 = 2(5+5) 3(6) + 2 = 2(10) 18 + 2 = 20 20 = 20 3(x + 1) + 2 = 2(x + 5)

  15. EXTRA PRACTICE Subtract x from each side. 2x + 3 = 21 Subtract 3 from each side. 2x = 18 Divide each side by 2 x = 9 CHECK YOUR WORK! 3x + 3 = x + 21

  16. EXTRA PRACTICE 4x + 2 = x + 8 x = 2 2x + 2 + 2x = x + 8

  17. TRACKING YOUR PROGRESS Let’s look at the scale for the current learning goal in your folder. We’re approximately halfway through this goal, so it’s time to track your progress again. Mark your current level in the middle section at the bottom and put today’s date.

  18. EXIT SLIP The following problem has an incorrect step. Using complete thought sentences, tell which step is incorrect and what should have been done. 4x + 2x + 3 = x + 18 6x + 3 = x + 18 - 3- 3 3x + 3 = x + 15 - x-x 2x + 3 = 15 - 3- 3 2x = 12 ÷ 2 ÷ 2 x = 6

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