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Multi – Step Equations

Multi – Step Equations. PowerPoint and Commentary by: Taylor Kennepohl. Multi-step Equations. Multi step equations are equations that require more than one step to get the answer or the value of the variable(s). 15 – 7 + 4 = 12 is an example of a multi step equation.

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Multi – Step Equations

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  1. Multi – Step Equations PowerPoint and Commentary by: Taylor Kennepohl

  2. Multi-step Equations Multi step equations are equations that require more than one step to get the answer or the value of the variable(s). • 15 – 7 + 4 = 12 is an example of a multi step equation. • 12 + 3x =27 is on example of a multi step equation with a variable.

  3. The Order of Operations The first thing you need to know to solve a multi step equation is the Order of Operations. The order of operations is the order in which you will solve the equation.

  4. One way to remember the Order of Operations is this: P lease E xcuse M y D ear A unt S ally or Pemdas The Order of Operations

  5. The Order of Operations The P stands for parentheses, the E for exponents, the M for multiplication, the D for division (solve whichever of the two that comes first from left to right), the A for addition, and the S for subtraction (solve whichever of the two that comes first from left to right). PEMDAS.

  6. Multi Step Equations Without Variables • 15 – 7 + 4 = 12 is an example of a multi step equation without a variable. Such equations are easier solved than equations with variables. • Lets try a harder one. (20 x 3) ÷ 5 + 3 = 15 • (20 x 3) ÷ 5 + 3 = 15 1. Do the parentheses first. • (60) ÷ 5 + 3 = 15 2. Divide 60 by five. • 12 + 3 = 15 3. Add 12 and 3 together. • 15 = 15 4. You arrive at your answer of 15 = 15.

  7. Multi Step Equations Without Variables • Lets try one: 15 – 7 + 4 = 12 • 15 – 7 + 4 = 12 8 + 4 = 12 1. Subtract the seven from fifteen, since there are no parentheses, exponents, or multiplication and division signs you would work left to right using addition and subtraction. • 12 = 12 2. Add together 8 + 4 and you have your answer: 12 = 12.

  8. Multi–step Equations with a Variable A multi-step equation with a variable is considerably harder than a multi-step equation without a variable. A variable is a letter than represents an unknown number. The goal of a multi-step equation with a variable is to figure out what the variable represents.

  9. Multi-step Equations with a Variable 12 + 3x = 27 is an example of a multi-step equation with a variable. Lets solve it.: 12 + 3x = 27 The first thing you need to do is subtract 12 from 27. It gets the 12 out of the way and makes it easier to solve the variable. 3x = 15 The second thing you do is divide the numbers on both sides of the equal sign by 3( to isolate the variable, or get the x alone.) x = 5 You’ve arrived at the answer of x = 5.

  10. Multi-step Equations with a Variable Now lets check the answer.: 12 + 3(5) = 27 First you plug in the value of the variable. 12 + 15 = 27 Then you multiply 3 and five (if a number is touching parentheses it means to multiply it by the number(s) in the parentheses. 27 =27 Lastly you add 12 and 15 together and get 27 = 27, checking your problem.

  11. Now you are ready to take on the world of algebraic equations! Good luck!

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