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6.1 multi step w-dist. property 1

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• 6.1 multi step w-dist. property 1

1. 1. Lesson 6.1 , For use with pages 293-297 Simplify the expression by combining like terms. 1. 7 x + 9 – 3 x + 2 <ul><li>8 y + 3 x + 5 y – ( – 7 x ) </li></ul>
2. 2. Lesson 6.1 , For use with pages 293-297 Simplify the expression by combining like terms. 1. 7 x + 9 – 3 x + 2 <ul><li>8 y + 3 x + 5 y – ( – 7 x ) </li></ul>ANSWER 4 x + 11 ANSWER 10 x + 13 y
3. 3. Solve Multi-Step Equations Students will solve multi-step equations using different transformations.
4. 4. <ul><li>So far we have solved one-step and two-step equations. </li></ul><ul><li>In this section we will be solving </li></ul><ul><li>MULTI-step equations. </li></ul>
5. 5. Steps <ul><li>1) Simplify both sides ( may include the distributive property , </li></ul><ul><li>combining like terms, </li></ul><ul><li>change subtraction to “add the opposite ) </li></ul><ul><li>2) Addition/Subtraction transformations </li></ul><ul><li>3) Simplify </li></ul><ul><li>4) Multiplication/Division transformations </li></ul><ul><li>5) Simplify </li></ul>
6. 6. Students will solve multi-step equations using different transformations. <ul><li>Solve </li></ul><ul><li>5x + 10x = 75 </li></ul><ul><li>15 x = 75 </li></ul><ul><li>15x = 75 </li></ul><ul><li>15 15 </li></ul><ul><li>x = 5 </li></ul>
7. 7. Students will solve multi-step equations using different transformations. <ul><li>-3(2y -3) = -15 </li></ul><ul><li>-3(2y + -3) = -15 </li></ul><ul><li>-6y + 9 = -15 </li></ul><ul><li>-6y + 9 + -9 = -15 + -9 </li></ul><ul><li>-6y = -24 </li></ul><ul><li>-6 -6 </li></ul><ul><li>y = 4 </li></ul>
8. 8. Students will solve multi-step equations using different transformations. <ul><li>7x + 2(x + 6) = 39 </li></ul><ul><li>7x + 2x + 12 = 39 </li></ul><ul><li>9x + 12 = 39 </li></ul><ul><li>9x + 12 + -12 = 39 + -12 </li></ul><ul><li>9x = 27 </li></ul><ul><li>9 9 </li></ul><ul><li>x = 3 </li></ul>
9. 9. Students will solve multi-step equations using different transformations. <ul><li>Assignment Worksheet A #1-3, 8-16, 20-21 </li></ul><ul><li>Show all your steps in solving the equations. Make sure you do a mental check to see if the answer is correct. </li></ul>