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1.1 evaluating expressions ink.notebook page 8 Unit 1 Basic Equations and Inequalities 1.1 Order of Operations August 17, 2016 page 9 Square Cube Variable Variable Expression Exponent page 10 page 11 1 1.1 evaluating expressions ink.notebook August 17, 2016 Standards Standards Lesson Objectives A.SSE.3 F.IF.2 Lesson Notes I will evaluate expressions using correct order of operations. I will evaluate expressions. 1.1 Order of Operations Press the tabs to view details. Press the tabs to view details. Lesson Objectives Standards Lesson Notes A.SSE.1 Interpret expressions that represent a quantity in terms of its context. a. Interpret parts of an expression, such as terms, factors, and coefficients. A.SSE.2 Use the structure of an expression to identify the ways to rewrite it. F.IF.2. Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Characteristics: My Definition: need to know what it letter or symbol used represents to solve to represent a for instance: x = 2 number Example: x, y, n Variable Counterexample: numbers for example: 4, 0, 2 Press the tabs to view details. 2 1.1 evaluating expressions ink.notebook Characteristics: My Definition: NO equal sign an expression that Not all numbers includes a variable (which is an algebraic expression Variable Counterexample: Example: Expression 2x + 3 x + 2 = 4 6x Characteristics: Example: Can use x2 button on calculator (5th one down on the left side) Square Counterexample: x2, 42, (3)2 Must use () a number or variable that indicates repeated multiplication it is little and raised ^ Exponent Example: is the power key on the calculator (above the ) Counterexample: 4(3) 43 6 A number or variable raised to the 3rd power use Characteristics: on calculator sign) (above 3 enter 4 for 43 Cube Example: 63 3x x 4 5 My Definition: 43 43, (5)4, (3)x Characteristics: My Definition: 4 + 3 My Definition: a number or variable raised to the 2nd power August 17, 2016 x3 (-2)3 Counterexample: 32 24 x5 3 1.1 evaluating expressions ink.notebook August 17, 2016 1) Parenthesis (grouping symbols) ( ) [ ] a) 2) Exponents (little raised numbers) 3) Multiply and Divide b) 52 + 3(4) – 8 Whichever one comes first in the problem working LEFT to RIGHT 4) Add and Subtract Whichever one comes first in the problem working LEFT to RIGHT 4 1.1 evaluating expressions ink.notebook August 17, 2016 Evaluate each expression. 1. 2. Evaluate each expression. 3. Note: 5 1.1 evaluating expressions ink.notebook August 17, 2016 Evaluate each variable expression when c = 4, and d = 2. (Substitute each number in for the correct variable and then solve.) 4. c2 + 3d 2cd 5. (9 c)3 d Evaluate each variable expression when c = 4, and d = 2. (Substitute each number in for the correct variable and then solve.) 6. 6 1.1 evaluating expressions ink.notebook August 17, 2016 7. Given y = 3x – 8, what is the value when x = –2. 8. Given y = x2 + 6, what is the value when x = –3. Note: On Your Whiteboards a) 7 1.1 evaluating expressions ink.notebook Evaluate the variable expression when a = 2, b = 7, and c = 6. August 17, 2016 c) Circle Billy‛s mistake and then redo the work to find the correct answer. Corrections = 5 ¥ 6 – 32 ÷ 3 b) =5¥6+9÷3 = 5 ¥ 15 ÷ 3 = 75 ÷ 3 = 25 On the Worksheet Homework 8 1.1 evaluating expressions ink.notebook August 17, 2016 Solve using the order of operations. Round to the nearest hundredth if necessary. 1. Solve using the order of operations. Round to the nearest hundredth if necessary. 2. 4 0.5 22 Evaluate each variable expression when c = 4, and d = 2. Solve using the order of operations. Round to the nearest hundredth if necessary. 4. c2 + 3d 2cd 3. 4.91 26 9 1.1 evaluating expressions ink.notebook August 17, 2016 Evaluate each variable expression when c = 4, and d = 2. Evaluate each variable expression when c = 4, and d = 2. 5. (9 c)3 d 6. 3125 4.8 7. Given y = 3x – 8, what is the value when x = –2. 8. Given y = x2 + 6, what is the value when x = –3. 10 1.1 evaluating expressions ink.notebook August 17, 2016 Solve using the order of operations. 1. Homework 4.2 38 0.45 4. 3. 2. 6. 5. 1 2 2 11 1.1 evaluating expressions ink.notebook 7. 2 • 42 1 28. August 17, 2016 29. 12 + 82 ÷ 4 8. 9. 26 28 33 Evaluate each variable expression when a = 2, b = 7, and c = 6. Evaluate each variable expression when a = 2, b = 7, and c = 6. 11. 6c b 10. a2 + b2 16. (b + a)(b a) + a2 15. b2 + c2 2bc 14. 53 29 13. 12. 1.83 4.38 1 49 3.5 12 1.1 evaluating expressions ink.notebook August 17, 2016 19. Given y = x2 – 4, what is the value when x = –5. 17. Given y = 6x + 7, what is the value when x = –3. 20. Given y = x2 – 4, what is the value when x = 7. 18. Given y = 6x + 7, what is the value when x = 8. Convert each decimal to a fraction in lowest terms. Remember you have to fill the screen for repeating decimals and use math enter enter on the graphing calculators or 2nd PRB on the small TI 36. REVIEW from middle school: 21. 6.15 22. 8.24242424 . . . . . 13 1.1 evaluating expressions ink.notebook Convert each decimal to a fraction in lowest terms. Remember you have to fill the screen for repeating decimals and use math enter enter on the graphing calculators or 2nd PRB on the small TI 36. August 17, 2016 Solve each. Leave answers as whole numbers or fractions. Find the answer to the square root first and then multiply it by the front number. 24. 25. 23. Solve each. Leave answers as whole numbers or fractions. Find the answer to the square root first and then multiply it by the front number. 26. 27. Solve each absolute value. Remember that the solution inside an absolute value symbol always pops out positive or zero. 28. 29. 30. 14 1.1 evaluating expressions ink.notebook August 17, 2016 15