# Variable. 1.1 Order of Operations. August 17, evaluating expressions ink.notebook. Standards. letter or symbol used to represent a number

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1 1.1 evaluating expressions ink.notebook page 8 Unit 1 Basic Equations and Inequalities 1.1 Order of Operations page 9 Square Cube Variable Variable Expression Exponent page 10 page 11 1

2 Lesson Objectives Standards Standards Lesson Notes 1.1 Order of Operations A.SSE.3 F.IF.2 I will evaluate expressions using correct order of operations. I will evaluate expressions. 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. My Definition: letter or symbol used to represent a number Example: x, y, n Variable Characteristics: need to know what it represents to solve for instance: x = 2 for example: Counterexample: numbers 4, 0, 2 Press the tabs to view details. 2

3 My Definition: an expression that includes a variable Example: 2x + 3 6x Variable Expression Characteristics: NO equal sign Not all numbers (which is an algebraic expression Counterexample: x + 2 = My Definition: a number or variable that indicates repeated multiplication Example: x 4 Exponent Characteristics: it is little and raised ^ is the power key on the calculator (above the ) Counterexample: 4(3) 3x My Definition: a number or variable raised to the 2nd power Example: x 2, 4 2, ( 3) 2 Square Must use () Can use on calculator Characteristics: x 2 button (5th one down on the left side) Counterexample: 4 3, (5) 4, ( 3) x My Definition: A number or variable raised to the 3 rd power Example: x 3 use Cube Characteristics: on calculator (above sign) 4 3 enter for 4 3 Counterexample: (-2) x 5 3

4 1.1 evaluating expressions ink.notebook 1) Parenthesis (grouping symbols) ( ) [ ] a) 2) Exponents (little raised numbers) 3) Multiply and Divide b) (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

5 Evaluate each expression Evaluate each expression. 3. Note: 5

6 1.1 evaluating expressions ink.notebook 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

7 7. Given y = 3x 8, what is the value when x = Given y = x 2 + 6, what is the value when x = 3. Note: On Your Whiteboards a) 7

8 Evaluate the variable expression when a = 2, b = 7, and c = 6. b) c) Circle Billy s mistake and then redo the work to find the correct answer. Corrections = = = = 75 3 = 25 On the Worksheet Homework 8

9 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 Solve using the order of operations. Round to the nearest hundredth if necessary. 3. Evaluate each variable expression when c = 4, and d = c 2 + 3d 2cd

10 Evaluate each variable expression when c = 4, and d = 2. Evaluate each variable expression when c = 4, and d = (9 c) 3 d Given y = 3x 8, what is the value when x = Given y = x 2 + 6, what is the value when x = 3. 10

11 Solve using the order of operations Homework

12 Evaluate each variable expression when a = 2, b = 7, and c = a 2 + b c b Evaluate each variable expression when a = 2, b = 7, and c = b 2 + c 2 2bc 16. (b + a)(b a) + a

13 19. Given y = x 2 4, what is the value when x = Given y = 6x + 7, what is the value when x = Given y = x 2 4, what is the value when x = 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 2 nd PRB on the small TI 36. REVIEW from middle school:

14 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 2 nd PRB on the small TI 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 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 Solve each absolute value. Remember that the solution inside an absolute value symbol always pops out positive or zero

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