Skip a page for the toc Lesson 16 Solving one step equations Goal: Get the variable on one side of the equation by itself Method: Use inverse operations to eliminate any other terms or numbers. Remember: if you do something to one side of an equation, you must do the same thing to the other side to maintain equality 𝑥−11=17 +11 +11 𝑥 =28
Skip a page for the toc Lesson 16 Solving one step equations Check your answer! Does 28 – 11 = 17? Yes! So, our answer is correct. Now you try: 𝑥+7=42 −7 −7 𝑥 =36
Skip a page for the toc Lesson 16 Solving one step equations Use these problems as practice in your notebook. Make sure your work is organized: 22+𝑥=80 x−(−3)=11 𝑥+15=−15 x−10=−72 −12+𝑥=4 10−𝑥=6
Skip a page for the toc Lesson 16 Solving one step equations Goal: Get the variable on one side of the equation by itself Method: Use inverse operations to eliminate any other terms or numbers. Remember: if you do something to one side of an equation, you must do the same thing to the other side to maintain equality 𝑥 5 =7 5× ×5 𝑥=35
Skip a page for the toc Lesson 16 Solving one step equations Use these problems as practice in your notebook. Make sure your work is organized: 𝑥∗(−8)=72 𝑥÷11=9 4×𝑥=64 𝑥 4 =−3 24 𝑥 =2 11÷𝑥=5.5
Skip a page for the toc Lesson 16 Solving two step equations Goal: Get the variable on one side of the equation by itself Method: Use inverse order of operations to eliminate any other terms or numbers: SADMEP 2𝑥−10=20 +10 +10 2𝑥 =30 ÷2 ÷2 𝑥 =15
Skip a page for the toc Lesson 16 Solving two step equations Use these problems as practice in your notebook. Make sure your work is organized: 3𝑥−5=30 7+8𝑥=23 11+2𝑥=−9 12+ 𝑥 4 =20 𝑥 10 −15=−19 10−3𝑥=40
Solving multi-step equations Simplify both sides (distribute, combine like terms, calculate exponents, etc) Get the variables on one side and the numbers on the other side using addition and subtraction Solve for the variable