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# A Year In Review

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S: A Year in Review Cindy Davis

FC: A YEAR IN REVIEW | INTRODUCTORY AND INTERMEDIATE ALGEBRA

1: Cindy Davis

2: Sets, Inequalities, and Interval Notations | 8x-9< 3x-1 (1)Remember to move smaller variable (2) If you divide by a negative number to solve for "X", remember to reverse the sign. ex: < becomes > (3) When writing interval notations a closed circle on the graph is a bracket and an open circle is a parenthesis.

3: Absolute-Value Equations and Inequalities ABS (8-q = q+9) (1) Write two math problems; remember to change the signs on the second problem (2) When there is and = sign in the problem "or" is written between the two problems. Example: ABS (8-q=q+9) or ABS(8-q=-q-9)

4: Multiplying and Simplifying Rational Expressions m^2-36 (M-6)^2 (1) Denominator will be written twice. (2) "Break it on down" on the top (3) Cancel out top and bottom that match (4) Remember if sum of squares cannot breakdown

5: Pythagorean Theorem | The hypotenuse is the side of the triangle that the right angle does not touch. | a^2 + b^2 = c^2

6: Completing the Square | (1) Remember that the a,b,c comes in the order of the equation (a is x^2) (2) Check for descending order (3) "a" must be 1 (4) Move "c" to the right side (5) "b"x 1/2, square it, add to both sides (6) Factor left side, combine like terms on right (8) Take square root of both sides, remember +/- on right side (9) Solve for "x" | x^2 + 2x - 5 = 0

7: Intersections, Unions, and Compound Inequalities | (1) Intersection ( ) is anything that the equations have in common {1,5,10,15} {5,15,20} answer: {5,15} (2) Union (U) is combining the two sets of equations {1,3,6,9} U {2,4,6,10} answer: {1,2,3,4,6,9,10} (3) Numbers should be in correct order and only listed once | U | U

8: Domain and Range Domain- the set of co-ordinates along the "x" axis; to locate them hold hands vertical and place on farthest points on "x" axis Range- the set of co-ordinates along the "y" axis; to determine these hold hands horizontal and place on the farthest points on the "y" axis

9: Substitution 2y = 6 - x (1) Get "y" home alone in first equation (2) Substitute into second equation (3) Solve for "x" (4) Solve for "y"

11: Thank You for Always Having Confidence in Me!

14: ANNIVERSARY

15: { | { | LOVE

17: "The friends we meet on the path of life make the trip worth while."

19: EASTER | happy | Spring Time

20: so many | Each memory we keep with care means future happiness to share.

21: LIVE WELL LAUGH OFTEN LOVE MUCH

25: Happy Father's Day

26: Life brings simple pleasures to us every day. It is up to us to make them wonderful memories. ~Cathy Allen

28: Summer Time!

34: Trick or Treat

36: HAPPY BIRTHDAY

39: It's The Little Things In Life That Matter

41: A Day to Give Thanks

43: J O Y

44: HAPPY | NEW YEAR

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• By: Cindy B.
• Joined: over 7 years ago
• Published Mixbooks: 1
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