# Bell Work How to Identify Multistep Equations Some

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Bell Work

How to Identify Multistep Equations Some equations can be solved in one or two steps Ex) 4 x + 2 = 10 is a twostep equation • Subtract 2 • Divide both sides by 4 Ex) 2 x – 5 = 15 is a twostep equation • Add 5 • Divide both sides by 2 When you have multiple movements – you are solving a multi-step equation!

How to Identify Multistep Equations Multistep equation – an equation whose solution requires more than two steps 5 x – 4 = 3 x + 2 4(x – 2) = 12 Multistep equations can take different forms Characteristic Example Multiple variable or constant terms on the same side Variable present on both sides x + 2 x + 3 x – 1 = 3 + 20 Parentheses present on either side 3(x + 2) = 21 4 x – 2 = 3 x + 3

How to Solve Multistep Equations 4(x + 2) – 10 = 2(x + 4) 4 x + 8 – 10 = 2 x + 8 4 x – 2 = 2 x + 8 Steps to Solve a Multistep Equation First step Complete any Distributive Property Second step Combine like terms (same side of equal sign) Third step Move all variables to one side and constants to the other side. (+ or -) Fourth step Solve for the variable 2 x = 10 x=5 Same general set of steps is useful in solving many multistep equations!

Practice with Multistep Equations 1) − 4(5 h + 2) − 22 = − 40 2) 8 m − 32 + 7 m − 34 = 9 3) 30 = − 5(6 n + 6) 4) − 13 = 5(1 + 4 m) − 2 m 5) 8(1 + 5 x) + 5 = 13 + 5 x Steps to Solve a Multistep Equation First step Complete any Distributive Property Second step Combine like terms (same side of equal sign) Third step Move all variables to one side and constants to the other. (+ or -) Fourth step Solve for the variable

Practice Solving All Types of Equations 1) − 20 = − 4 x − 6 x 6) − 18 − 6 k = 6(1 + 3 k) 2) 8 x − 2 = − 9 + 7 x 7) 2(4 x − 3) − 8 = 4 + 2 x 3) 5 p − 14 = 8 p + 4 8) −(1 + 7 x) − 6(− 7 − x) = 36 4) − 8 = −(x + 4) 9) −(7 − 4 x) = 9 5) 14 = −(p − 8) 10) − 3(4 x + 3) + 4(6 x + 1) =

Closure Your teacher gave the following problem out to everyone in your class for a chance at a free homework pass: − 5(1 − 5 x) + 5(− 8 x − 2) = − 4 x − 8 x Your best friend was absent for the lesson when your teacher went over how to solve multi-step equations. He FREAKED out and stated, “There is NO WAY I can solve that! It is too long!” Explain to your friend how he can solve any type of equation. Make sure you describe the steps he should take. Solve it correctly for a free homework pass!

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