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# Chapter 3

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McDougal Littell Math Course 3
NYS edition

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### Chapter 3

1. 1. Chapter 3 Solving and Checking Equations Solving, Checking and Graphing Inequalities
2. 2. Do Now 11/6 <ul><li>1. What is the difference between an expression and an equation ? </li></ul><ul><li>Equation – a mathematical sentence formed by placing an equal sign between two expressions </li></ul><ul><li>Expression – consist of numbers, variables and operations. (NO EQUAL SIGN) </li></ul><ul><li>2. Write the inverse operations down with an example of how to solve using them: </li></ul>
3. 3. Solving 1- Step Equations <ul><li>Use inverse operations: </li></ul><ul><ul><ul><li>Addition/Subtraction </li></ul></ul></ul><ul><ul><ul><ul><li>+/- </li></ul></ul></ul></ul><ul><ul><ul><li>Multiplication/Division </li></ul></ul></ul><ul><ul><ul><li>*/ ÷ </li></ul></ul></ul><ul><ul><ul><li>Squared/Square root </li></ul></ul></ul><ul><ul><ul><ul><li>x 2 / √ </li></ul></ul></ul></ul>
4. 4. Checking Equations <ul><li>Re-write original equation </li></ul><ul><li>Substitute value(s) in for variable(s) </li></ul><ul><li>Solve using Order of Operations </li></ul>
5. 5. Solve and Check: <ul><li>n + 10 = -23 </li></ul><ul><li>42= -7x </li></ul><ul><li>r ÷ 3 = -8 </li></ul><ul><li>4) n –(-15) = 7 </li></ul><ul><li>3= . t . </li></ul><ul><li> -5 </li></ul>
6. 6. Solve and Check <ul><li>-13 = r + 9 </li></ul><ul><li>-4x = 12 </li></ul><ul><li>15 = m </li></ul><ul><ul><ul><li>-8 </li></ul></ul></ul><ul><li>r – (-8) = 24 </li></ul>
7. 7. Do Now 11/9 <ul><li>Solve and CHECK </li></ul><ul><li>9 = w +(-16) </li></ul><ul><li>-3x = -18 </li></ul><ul><li>2 = y . </li></ul><ul><ul><ul><li>-7 </li></ul></ul></ul><ul><li>m – 3 = -4 </li></ul>
8. 8. Solving 2- step equations <ul><li>Use inverse operations </li></ul><ul><li>FIRST - Addition/Subtraction +/- </li></ul><ul><ul><ul><li>SECOND- Multiplication/Division */ ÷ </li></ul></ul></ul><ul><ul><ul><ul><li>(Order of Operations backwards) </li></ul></ul></ul></ul>
9. 9. Checking 2- Step Equations <ul><li>Re-write original equation </li></ul><ul><li>Substitute value(s) in for variable(s) </li></ul><ul><li>Solve using Order of Operations </li></ul>
10. 10. Solve and Check <ul><li>3x + 10= -20 </li></ul><ul><li>13 = 2p – 5 </li></ul>
11. 11. Solve and Check <ul><li>3) 19 + 8v = 43 </li></ul><ul><li>4) G + 6 = -2 </li></ul><ul><ul><li>9 </li></ul></ul>
12. 12. Do Now 11/10 <ul><li>Solve and Check: </li></ul><ul><li>C + 34= 46 -8 </li></ul><ul><li>-8 = 72 – 5t </li></ul>
13. 13. Solve and Check <ul><li>C + 26 = 46 -10 </li></ul><ul><li>-82 = 53 – 5t </li></ul>3. -33 = -15t -12 4. 8x – (-4) = 20
14. 14. Do Now 11/12 <ul><li>1. Take out Apple </li></ul><ul><li>Solve and Check: </li></ul><ul><li>2. 6x + 4 = 22 </li></ul><ul><li>3. 18 = 2r - 6 </li></ul>
15. 15. Using Key words- Write, Solve and Check equations: <ul><li>The sum of 4 times a number and 3 is 11. What is the number? </li></ul><ul><li>6 less than 2 times a number is 18. What is the number? </li></ul><ul><li>Our class spends \$46 on supplies for gingerbread houses. How many houses must we sell at \$9 each to make a profit of \$100? </li></ul>
16. 16. Do Now 11/18 – Fill in chart Triangle Rectangle Square Area Perimeter
17. 17. To use formulas: <ul><li>Write formula </li></ul><ul><li>Substitute values </li></ul><ul><li>Solve using Order of Operations </li></ul><ul><li>A= units squared = 44mm 2 </li></ul><ul><li>P= units not squared= 32mm </li></ul>
18. 18. Find the Perimeter and Area of the shapes: 4 ft 10 ft 3 cm 9 cm 12 yd 5 yd 14 m 3 m 1. 2. 3. 4. 12 ft 15 m 15 m
19. 19. Find the missing dimension of the shapes <ul><li>A= 18 ft 2 </li></ul><ul><li>A= 32mm 2 </li></ul>6 ft 8 mm
20. 20. Do Now 11/19: Find the missing dimension of the shape <ul><li>1) A = 30 in 2 </li></ul>10in x
21. 21. Graphing Inequalities <ul><li>> Greater Than </li></ul><ul><li>< Less Than </li></ul><ul><li>= Equal </li></ul><ul><li>≤ Less than or Equal </li></ul><ul><li>≥ Greater Than or Equal </li></ul>
22. 22. Solving and Graphing Inequalities <ul><li>1. n < 5 </li></ul><ul><li>2 </li></ul><ul><li>2. -20 > 4x </li></ul>
23. 23. Solving and Graphing Inequalities <ul><li>p - 2 ≥ -8 </li></ul><ul><li>4. -17 ≤ y + -13 </li></ul>
24. 24. Do Now 11/20 – Solve and Graph <ul><li>p – (-6) ≥ 4 </li></ul><ul><li>-8 > -11 + m </li></ul>3. N ≤ - 3 4 4. -6r < 36
25. 25. Solving and Graphing Inequalities <ul><li>You are participating in Ms. Bradshaw’s stock market game. The Hot Topic stock you want to buy costs \$13.00 per share. You can’t spend more than \$325 without going into debt. Write, solve and graph an inequality to see how many shares you can buy. </li></ul>
26. 26. 11/23 – Do Now Solve and Graph <ul><li>1. 3 + t < 5 </li></ul><ul><li>2. -5 ≥ 4 + m </li></ul>
27. 27. Solve and Graph <ul><li>64< 14 + 3x </li></ul><ul><li>-6g  -  9   ≥   137 </li></ul><ul><li>12  <   t +  2 </li></ul><ul><li> 2 </li></ul>
28. 28. <ul><li>You are participating in Ms. Bradshaw’s stock market game. The Hot Topic stock you want to buy costs \$13.00 per share. You can’t spend more than \$325 without going into debt. Write, solve and graph an inequality to see how many shares you can buy. </li></ul><ul><li>You are saving money to buy a wii. You already have \$45.00 and you earn \$42.00 per week mowing lawns. If a wii costs \$250, write, solve and graph an inequality to show how many weeks you need to save to buy the wii. </li></ul><ul><li>Gio needs an average math score of at least an 85 to qualify for a scholarship. His first two test scores were 78 and 86. There is one more test to take. What is the lowest he can score and still qualify? </li></ul>
29. 29. Chapter 3 Test – Tuesday Dec 1 <ul><li>1 – step equations – solve and check </li></ul><ul><li>2 - step equations – solve and check </li></ul><ul><ul><li>Solve: </li></ul></ul><ul><ul><ul><li>Use inverse operations (+/-) ( */ ÷ ) </li></ul></ul></ul><ul><ul><ul><li>Follow order of operations backwards </li></ul></ul></ul><ul><ul><ul><ul><li>First- (+/-) </li></ul></ul></ul></ul><ul><ul><ul><ul><li>Second - ( */ ÷ ) </li></ul></ul></ul></ul><ul><ul><ul><ul><li>Third exponents </li></ul></ul></ul></ul><ul><ul><ul><ul><li>Forth Parenthesis </li></ul></ul></ul></ul><ul><ul><li>Check: </li></ul></ul><ul><ul><ul><li>1. Re-write equation </li></ul></ul></ul><ul><ul><ul><li>2. Substitute </li></ul></ul></ul><ul><ul><ul><li>3. Solve – Using Order of Operations </li></ul></ul></ul>
30. 30. Chapter 3 Test – Tuesday Dec 1 <ul><li>Inequalities </li></ul><ul><ul><li>Use inverse operations </li></ul></ul><ul><ul><li>When you multiply or divide by a negative the inequality sign flips (<, >) ( ≥, ≤) </li></ul></ul><ul><li>Area and Perimeter (Squares, Rectangles, Triangles) </li></ul><ul><ul><li>Find missing side </li></ul></ul><ul><ul><li>Find area </li></ul></ul><ul><ul><li>Find Perimeter </li></ul></ul><ul><li>Translating Verbal Expressions into equations </li></ul><ul><li>Word Problems </li></ul>
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