ALGEBRA Chapter 1
1.1 – Evaluating Expressions Evaluate the expression when c = c c c
EXPONENTS xnxn
Important Rule with Exponents Anything raised to the zero power is ALWAYS 1. x 0 = = = 1
Solve the Following Exponents Example 1: 2 6 = ? Example 2: 4 3 = ? Example 3: 9 2 = ?
Section 1.2: Order of Operations P lease E xcuse M y D ear A unt S ally ARENTHESISARENTHESIS XPONENTSXPONENTS ULTIPLYULTIPLY IVIDEIVIDE DDITIONDDITION UBTRACTIONUBTRACTION
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.
Let’s Look at the Following Site _1_2007_na/animations/explore_learning/ chapter_1/dswmedia/1_3_Order_Ops.html _1_2007_na/animations/explore_learning/ chapter_1/dswmedia/1_3_Order_Ops.html _1_2007_na/animations/explore_learning/ chapter_1/dswmedia/1_3_Order_Ops.html _1_2007_na/animations/explore_learning/ chapter_1/dswmedia/1_3_Order_Ops.html
Example 1:
Example 2: 48 2 3 8
Example 3: 4[12 (6 – 2)] 2 4[12 4] 2 4[3] 2 4[9]
Example 4: 2 5 – 6 – 5 3 – – 6 2 32 – 6 2 32 – – 5 3 – 2 27 – 5 3 – 2 27 – 15 – 2
Section 1.3: Write Expressions
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.
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)
Write a Verbal Expression for each Example. Example 6: c d 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.
Find the UNIT RATE
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
Write an equation or inequality. 1. The sum of twice a number r and 3 is 11. 2r + 3 = The quotient of a number n and 2 is at most 16. n 2 < 16
Write an equation or inequality. 3. A number q is at least 5 and less than 17. q < 5 < 17
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Check whether the given number is a solution of the equation or inequality – 2x = 2; 3 8 – 2(3) = 2 8 – 6 = 2 2 = 2
Check whether the given number is a solution of the equation or inequality p > 19; (5) > > > 19
MENTAL MATH : Solve the equation using mental math! 1. x + 5 = x = 7 2. x - 6 = x = x = 32 8 x = x = x = 28 7 7
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.
Identify the domain and range of the function. InputOutput Domain: 0, 1, 4, 6 Range: 0, 2, 8, 12 Domain: -2, 0, 2, 4 Range: -8, 0, 8, 16
FUNCTIONS: The domain(x) are matched with only one range(y). The “x’s” can not repeat themselves.
Is this a FUNCTION? InputOutput InputOutput
Make a table for the function. Domain: 12, 15, 22, 30InputOutput Input Output Input Output9 Input Output912 Input Output91219 Input Output
Section 1.7: Functions as Graphs Coordinate Plane y-axis The vertical number line. x-axis The horizontal number line. Origin (0, 0)
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
Graph the function y = 2x - 3 with domain 2, 3, 5, 6. Step 1: Make an Input/Output Table. Input Output Step 2: Plot the points.
Make an Input/Output Table.InputOutput Domain: 1, 3, 5, 7 Range: 2, 4, 6, 8
HOMEWORK