<p> Unit Summary 1</p><p>Class: Math 8 Unit: Integers and Solving Basic Equations </p><p>I. Big Ideas:</p><p> Students will understand how to translate a verbal expression into a mathematical expression.  Students will understand how to set up and solve equations to help determine the answers to real-life problems.  Students will understand how to use integers to model real world situations.</p><p>II. Topics that will be covered:</p><p>1. Applying the order of operations 2. Evaluating expressions with variables 3. Operations with integers 4. Absolute value problems 5. Word problems with adding, subtracting, multiplying, and dividing integers 6. Simplifying expressions by adding like terms 7. Using the distributing property 8. Solving equations with addition and subtraction 9. Solving equations with multiplication and division 10. Modeling verbal expressions 10. Using vocabulary related to the unit (Rational, irrational, etc.) 12. Solving two step equations 13. Solving multi-step equations 14. Solving equations with variables on both sides 15. Solving equations with the distributive property</p><p>III. Essential Questions:</p><p> Why is it important to use the correct order of operations?  How can I use the distributive property to write equivalent expressions?  How would you determine that two terms are alike?  How can I predict the outcome of operating with integers?  How does absolute value relate to integers?  What are you solving for when you solve an equation? IV. Sample questions to answer by the end of the unit:</p><p>1) A submarine is traveling at a depth of 1050 ft below sea level. It rises to a depth of 800 ft below sea level. Which of the following models can you use to find how many feet the submarine rose? Solve the correct model. A) -1050 – x = -800 B) -1050 + x = -800</p><p>C) -1050 + x = 800 D) 1050 – x = 800</p><p>2) –5 – 4  2 + -10 = 3) 3(x + 4) = </p><p>4) 3x + 5 - 9x – 4 = 5) 5(x – 3) + 2x – 10 = </p><p>6) Determine the perimeter of the following rectangle.</p><p>5x + 8</p><p>3x – 1</p><p>7) x + 9 = 12 8) 3x = 54</p><p>9) ½ x = -13 10. Translate the following to an equation and solve.</p><p>The sum of a number and 10 is 40. Solve for x.</p><p>11) 2x + 4 = 16 12) 4x – 6 = 18</p><p>13) -3x + 8 = 23 14) 4x + 8 + 2x = 20</p><p>15) 3x – 5 – x = 17 16) 5(2x + 3) = 85</p><p>17) 60 = 2(2x – 1) 18) 12x + 4 – 3x = 58</p>