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Simplifying Expressions and Solving Equations

Simplifying Expressions and Solving Equations. Mr. K’s Seven Steps for Solving Equations. 1. Distribute. Example: Use the distributive property. 2. Combine Like Terms on Same side of the equals sign. 3. Collect all variables on one side of the equals sign by + or -.

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Simplifying Expressions and Solving Equations

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  1. Simplifying Expressions and Solving Equations

  2. Mr. K’s Seven Steps for Solving Equations

  3. 1. Distribute • Example: Use the distributive property.

  4. 2. Combine Like Terms on Same side of the equals sign

  5. 3. Collect all variables on one side of the equals sign by + or -.

  6. 4. Collect all constants on one side of the equals sign by + or -.

  7. 5. Divide out the coefficient of the variable to isolate the variable.

  8. 6. Simplify fractions if needed.

  9. 7. Check your answer Mr. K’s way!

  10. What is an Additive Inverse? • When using addition, and two values are combined, their sum is ….. • ZERO

  11. What is the Additive Inverse? • 8 • 6 • - 5

  12. Vocabulary • Equation • A mathematical statement that two expressions are equal (has an equal sign) • Solution of an Equation • Value of the variable that makes the statement true

  13. Finding Solutions • In order to find solutions we must, Isolate the Variable • A variable is ISOLATED if it appears by itself on one side of the equation and not at all on the other side of the equation

  14. Solving Expressions • In order to solve any mathematical expression we must always follow the order of operations • PEMDAS • P – Please Parentheses • E – Excuse Exponents • M – My Multiply • D – Dear Divide • A – Aunt Add • S – Sally Subtract

  15. Solving Variable Equations • In order to Isolate the variable, we sometimes need to move terms in the equations • REMEMBER • When combining terms on the same side of the EQUAL SIGN, you keep the SAME sign of the terms and just add them together • We only use the OPPOSITE sign when we have to cross the equal sign • This is because we are removing it from one side of the equal sign and adding it to the other side of the equal sign

  16. Moving Terms • First look at the problem and decide which operations you have and do you have to move them across an equal sign • If you do we must do the Inverse Operation in reverse order of the Order of Operations

  17. Examples

  18. Signs When Multiplying and Dividing • Rules • Multiply • Divide

  19. Examples

  20. Examples

  21. Homework • Worksheet

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