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ALGEBRA

ALGEBRA. Chapter 1. 1.1 – Evaluating Expressions. Evaluate the expression when c = 4. 1. 4c 2. 8 3. 15 + c c. 19. 16. 2. Power. EXPONENTS. x n. Exponent. Base. Important Rule with Exponents. Anything raised to the zero power is ALWAYS 1. x 0 = 1.

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ALGEBRA

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  1. ALGEBRA Chapter 1

  2. 1.1 – Evaluating Expressions Evaluate the expression when c = 4. 1. 4c 2. 8 3. 15 + c c 19 16 2

  3. Power EXPONENTS xn Exponent Base

  4. Important Rule with Exponents Anything raised to the zero power is ALWAYS 1. x0 = 1 220 = 1 2550 = 1

  5. Solve the Following Exponents 64 Example 1:26 = ? Example 2:43 = ? Example 3:92 = ? 64 81

  6. Section 1.2: Order of Operations Please Excuse My Dear Aunt Sally A R E N T H E S I S X P O N E N T S U L T I P L Y I V I D E D D I T I O N U B T R A C T I O N

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

  8. Let’s Look at the Following Site • https://www.classzone.com/books/algebra_1_2007_na/animations/explore_learning/chapter_1/dswmedia/1_3_Order_Ops.html

  9. Example 1:3 + 2  3 + 5 3 + 6 + 5 14

  10. Example 2:48  23 3 + 5 48  8  3 + 5 6  3 + 5 18 + 5 23

  11. Example 3:4[12  (6 – 2)]2 4[12  4]2 4[3]2 4[9] 36

  12. Example 4:25 – 6  2 33 – 5  3 – 2 2 Do all the operations in the DENOMINATOR. Do all the operations in the NUMERATOR. 33 – 5  3 – 2 25 – 6  2 32 – 6  2 27 – 5  3 – 2  27 – 15 – 2 32 – 12 10 20

  13. Section 1.3: Write Expressions Fraction Review

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

  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. Example 7 : 4n5 7 Write a Verbal Expression for each Example. Example 6: c2 + 21d 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.

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

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

  21. Let’s look at these examples • https://www.classzone.com/books/algebra_1_2007_na/animations/explore_learning/chapter_1/dswmedia/1_5_AlgebExpress.html

  22. Check whether the given number is a solution of the equation or inequality. 1. 8 – 2x = 2; 3 8 – 2(3) = 2 YES 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 NO 3 + 15 > 19 18 > 19

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

  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. Domain: 0, 1, 4, 6 Domain: -2, 0, 2, 4 Range: 0, 2, 8, 12 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? YES NO

  29. Make a table for the function. y = x - 3 Domain: 12, 15, 22, 30

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

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

  32. Graph the function y = 2x - 3 with domain 2, 3, 5, 6. Step 1: Make an Input/Output Table. 2 3 5 6 3 7 1 9 Step 2: Plot the points.

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

  34. HOMEWORK Chapter 1 WS Packet

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