1. ALGEBRA Chapter 1

2. 1.1 – Evaluating Expressions Evaluate the expression when c = 4. 1. 4c2. 83. 15 + c c

3. EXPONENTS xnxn

4. Important Rule with Exponents Anything raised to the zero power is ALWAYS 1. x 0 = 1 22 0 = 1 255 0 = 1

5. Solve the Following Exponents Example 1: 2 6 = ? Example 2: 4 3 = ? Example 3: 9 2 = ?

6. Section 1.2: Order of Operations P lease E xcuse M y D ear A unt S ally ARENTHESISARENTHESIS XPONENTSXPONENTS ULTIPLYULTIPLY IVIDEIVIDE DDITIONDDITION UBTRACTIONUBTRACTION

7. Steps for Solving Order of Operations Step 1: Look for parenthesis and do the operations INSIDE of it first. Step 2: Evaluate all EXPONENTS. Step 3: Do all multiplication and/or division from LEFT to RIGHT. Step 4: Do all addition and/or subtraction from LEFT to RIGHT.

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9. Example 1: 3 + 2  3 + 5 3 + 6 + 5

10. Example 2: 48  2 3  3 + 5 48  8  3 + 5 6  3 + 5 18 + 5

11. Example 3: 4[12  (6 – 2)] 2 4[12  4] 2 4[3] 2 4[9]

12. Example 4: 2 5 – 6  2 3 3 – 5  3 – 2 2 5 – 6  2 32 – 6  2 32 – 12 3 3 – 5  3 – 2 27 – 5  3 – 2 27 – 15 – 2 

13. Section 1.3: Write Expressions

14. Add Subtract Multiply Divide More Than Sum Increased And Total Plus Less Than Decreased Difference Minus Product Times Of Quotient Find some other words that mean the same as the underlined words.

15. Example 1: Eight more than a number n. 8 + n Example 2: A number decreased by 6. n - 6 Example 3: The product of 16 and a. 16a Example 4: The difference of 7 and 4 times a number x. 7 – 4x Example 5: Twice the sum of 15 and a number 2(15 + n)

16. Write a Verbal Expression for each Example. Example 6: c 2 + 21d Example 7 : 4n 5 7 C squared increased by the product of 21 and d. 4 multiplied by n to the fifth power divided by 7.

17. Find the UNIT RATE

18. Section 1.4: Write Equations and Inequalities. SymbolMeaning Associate Words = is equal to the same as < is less than fewer than < is less than or equal to at most, no more than > is greater than more than > is greater than or equal to at least, no less than

19. Write an equation or inequality. 1. The sum of twice a number r and 3 is 11. 2r + 3 = 11 2. The quotient of a number n and 2 is at most 16. n 2 < 16

20. Write an equation or inequality. 3. A number q is at least 5 and less than 17. q < 5 < 17

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22. Check whether the given number is a solution of the equation or inequality. 1. 8 – 2x = 2; 3 8 – 2(3) = 2 8 – 6 = 2 2 = 2

23. Check whether the given number is a solution of the equation or inequality. 2. 3 + 3p > 19; 5 3 + 3(5) > 19 3 + 15 > 19 18 > 19

24. MENTAL MATH : Solve the equation using mental math! 1. x + 5 = 12 - 5 x = 7 2. x - 6 = 3 + 6 x = 9 3. 8x = 32 8 x = 4 8 4. x = 4 7 7 x = 28  7 7

25. Section 1.6: Functions and Tables Domain The set of the first numbers of the ordered pairs. Range The set of the second numbers of the ordered pairs.

26. Identify the domain and range of the function. InputOutput 00 12 48 612 Domain: 0, 1, 4, 6 Range: 0, 2, 8, 12 Domain: -2, 0, 2, 4 Range: -8, 0, 8, 16

27. FUNCTIONS: The domain(x) are matched with only one range(y). The “x’s” can not repeat themselves.

28. Is this a FUNCTION? InputOutput00 12 27 04 InputOutput-20 12 22 34

29. Make a table for the function. Domain: 12, 15, 22, 30InputOutput Input12152230Output Input12152230Output9 Input12152230Output912 Input12152230Output91219 Input12152230Output9121927

30. Section 1.7: Functions as Graphs Coordinate Plane y-axis The vertical number line. x-axis The horizontal number line. Origin (0, 0)

31. Plot each point on the coordinate plane. E (5, 3) F (-2, -1) G (3.5, 4.5) H (0, -6) I (-5, 4) E F G H I

32. Graph the function y = 2x - 3 with domain 2, 3, 5, 6. Step 1: Make an Input/Output Table. Input Output 2 3 5 6 1 37 9 Step 2: Plot the points.

33. Make an Input/Output Table.InputOutput 1212 3434 5656 7878 Domain: 1, 3, 5, 7 Range: 2, 4, 6, 8

34. HOMEWORK