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CCMIA – Class Session #2

CCMIA – Class Session #2. Tuesday, June 17 th Chapter 1: Review Sections 1.1, One-Step & Two-Step Equations Sections 1.2 – 1.4. Review: Distributive Property & Combining Like Terms. Distributive Property (answers must be in standard form ax + b) a ( b + c ) = a b + a c

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CCMIA – Class Session #2

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  1. CCMIA – Class Session #2 Tuesday, June 17th Chapter 1: Review Sections 1.1, One-Step & Two-Step Equations Sections 1.2 – 1.4

  2. Review: Distributive Property & Combining Like Terms • Distributive Property (answers must be in standard form ax + b) a (b + c) = ab + ac Ex #1: 5 (x + 2) Ex #2) -3 (2x – 4) 5(x) + 5( 2) -3(2x) + -3(-4) Ans: 5x + 10 Ans: -6x + 12 Ex #3) -2( -4 + 3x) -2(-4) + -2(3x) 8 - 6x (Standard Form, x terms then constants) Ans: -6x + 8

  3. Review: Distributive Property & Combining Like Terms • Combining Like Terms (Must have same variable(s) to the same power) Standard form: Variables with powers in decreasing order: ax2 + bx + c Ex #1: 5y - y Ex #2) 4x – 3 – 5x Ans: 6y 4x – 3 – 5x = 4x – 5x - 3 Ans: -x – 3 or -1x - 3 Ex #3) 4x2 – 3x + 5 – 7x – 6x2 + 9 4x2– 3x + 5 – 7x – 6x2+ 9 4x2 – 6x2– 3x – 7x + 5 + 9 Ans: -2x2 – 10x + 14

  4. Review: Rewriting Fraction Expressions

  5. Solving One-Step Equations

  6. Solving One-Step Equations

  7. Solving One-Step Equations

  8. Solving One-Step Equations

  9. Solving One-Step Equations

  10. Solving One-Step Equations

  11. Show me you understand • Do these on a separate piece of paper to turn in.

  12. Solving Two-Step Equations

  13. Solving Two-Step Equations

  14. Solving Two-Step Equations

  15. Solving Two-Step Equations

  16. Solving Two-Step Equations • We CANNOT divide by fractions: • We must multiply by the reciprocal

  17. Solving Two-Step Equations

  18. Solving Multi-Step Equations • Click on the links and watch each video. Take notes on the videos. • https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-linear-equations/v/multi-step-equations-1 • https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-linear-equations/v/solving-equations-2 • https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equations-distribution/v/equation-special-cases • https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equations-distribution/v/ex-2-multi-step-equation • https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equations-distribution/v/solving-equations-with-the-distributive-property

  19. Solving Literal Equations • Solving a literal equation uses the same steps as solving an equation with one variable. You just can not simplify all the variables.

  20. Solving Literal Equations

  21. Solving Literal Equations

  22. Solving Literal Equations

  23. Solving Literal Equations (Solving for y or x) Steps for rewriting an equation in slope-intercept form y = mx + b *m = reduced improper fraction (NO DECIMALS)* Step 1: Add/Subtract x from each side Step 2: Divide everything by the # in front of y

  24. Solving Literal Equations

  25. Solving Literal Equations

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