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Math Review May 12, 2014 Solve 1a. 10 = lx – 2l 2. Distribute to solve for y (x + 6) (x + 12) = y 3. Graph: y = x2 1b. 10 = 2(y+2) 1c. 6 = 36 x Solve for the unknown number. Distribute – give one to everyone. • Wind and Wave • FOIL m y 2 y1 x2 x1 y= mx + b defines linear Math Review May 13, 2014 Solve 1a. 4 = lx – 6l 2. Distribute to solve for y (x + 4) (x + 3) = y 3. Graph: y = 2x2 1b. 9 = 3(y+4) 1c. 4 = 24 x Solve for the unknown number. Distribute – give one to everyone. • Wind and Wave • FOIL m y 2 y1 x2 x1 y= mx + b defines linear Math Review May 14, 2014 Solve 1a. 14 = lx – 7l 2. Distribute to solve for y (x + 5) (x + 5) = y 3. Graph: y = -x2 1b. 12 = 4(y+4) 1c. 8 = 72 x Solve for the unknown number. Distribute – give one to everyone. • Wind and Wave • FOIL m y 2 y1 x2 x1 y= mx + b defines linear Math Review May 15, 2014 Solve 1a. 4 = l2x + 6l 2. Distribute to solve for y (x + 3) (x + 3) = y 3. Graph: y = -2x2 1b. 9 = -(y+4) 1c. 7 = 28 2x Solve for the unknown number. Distribute – give one to everyone. • Wind and Wave • FOIL m y 2 y1 x2 x1 y= mx + b defines linear Math Review May 19, 2014 Solve 1a. 2 = l4x - 6l 2. Distribute to solve for y (x + 3)2 = y 1b. 9 > -(y-4) 1c. 3 = 27 3x Solve for the unknown number. Distribute – give one to everyone. • Wind and Wave • FOIL 3. Graph: 1 y= x m y 2 y1 x2 x1 y= mx + b defines linear Math Review May 20, 2014 Solve 1a. 9 = l-x - 6l 2. Distribute to solve for y (x + 7)2 = y 1b. 16 > -2(y-4) 1c. 7 = 49 7x Solve for the unknown number. Distribute – give one to everyone. • Wind and Wave • FOIL 3. Graph: 1 y= 2x m y 2 y1 x2 x1 y= mx + b defines linear Math Review May 21, 2014 Solve 2. Distribute to 1a. 12 = 2 lx + 2l solve for y (x + 4)2 = y 1b. -2 > -4(y+1) 1c. 4 = 36 3x Solve for the unknown number. Distribute – give one to everyone. • Wind and Wave • FOIL 3. Graph: 1 y= x m y 2 y1 x2 x1 y= mx + b defines linear Math Review May 22, 2014 Solve 2. Distribute to 1a. 12 = 2 lx + 2l solve for y (x + 9)2 = y 1b. 16 > -2(y+4) 1c. 8 = 64 2x Solve for the unknown number. Distribute – give one to everyone. • Wind and Wave • FOIL 3. Graph: 1 y = 2x m y 2 y1 x2 x1 y= mx + b defines linear Agenda I know ? Algebra That a point is defined by two coordinates (x, y). Why is a point defined by two coordinates? Word Point 4-2-2013 Math Review April 7, 2014 1a. 8x+(x+3)= (8x+x)+3 2. Find the distance 1b. between (-2, 3a+b+2a= 12) and (5, b+3a+2a 12) 3. Plot the points and find the slope defined by: (2, -6) and (-1, 0) 1c. 9 = -2 (y+2) m Distance Formula Properties of Real numbers: Associative, Commutative and Distributive. d y y x x 2 2 1 2 1 2 y 2 y1 x2 x1 y= mx + b defines linear Agenda I know Algebra That a system of equation’s solution is found at the point of intersection. ? How do you know if two lines are parallel, perpendicular or neither? Word Parallel Perpendicular 4-1-2013 1a. Math Review April 8, 2014 3. Plot the points 2. Find the and find the distance slope defined between (-5, 24) by: and (2, 0) 0 = - (y+2) 1b. a+b+a= b+a+a 1c. (2, -4) and (-1, 2) y 2 y1 m x2 x1 x+(x+7)= (x+x)+7 Properties of Real numbers: Associative, Commutative and Distributive. d y y x x 2 2 1 2 1 2 y= mx + b defines linear Agenda I Algebra That the Pythagorean Theorem know works when I have a right triangle. ? How do you find a right angle in the real world? Word Right angle = 90° 3-20-2013 1a. Math Review April 9, 2014 2. Find the distance between (-6, 0) and (1,0) -6 (2x+1)= 2x 1b. 2a+(3a+9)= (2a+3a)+9 1c. -3+v+9= v+-3+ 9 Properties of Real 1c. numbers: Associative, Commutative and Distributive. 3. Plot the points Find the slope defined by: (-2, 1) and (3,0) m d y y x x 2 2 1 2 1 y 2 y1 x2 x1 2 y= mx + b defines linear Agenda I know ? Algebra That the Pythagorean Theorem is used to solve real life problems. When can I assume a right angles exists? Word 2-dimension 3-19-2013 1a. Math Review April 10, 2014 2. Find the distance between (-6, 0) and (1,0) -6 (2x+1)= 2x 1b. -u+v+12u= v+12u+ -u 1c. 3. Plot the points and find the slope defined by: (0, 2) and (2,0) x+(9x+1)= (x+9x)+1 Properties of Real numbers: Associative, Commutative and Distributive. m d y y x x 2 2 1 2 1 2 y 2 y1 x2 x1 y= mx + b defines linear Agenda I know ? Algebra That the Pythagorean Theorem can be used to find the side length of a right triangle. How can you tell if a triangle is a right triangle? Word a^2 + b^2 = c^2 3-18-2013 1a. Math Review April 14, 2014 2. Find the distance between (-5, 2) and (1,-2) -4 = - (3m+1) 1b. 2u+2v+u= 2v+2u+u 1c. 3. Plot the points and find the slope defined by: Line 1 (0, 2) and (2,-2) Line 2 (10, 2) and (2,-2) -x+(3x+2)= (-x+3x)+2 Properties of Real numbers: Associative, Commutative and Distributive. d y 2 y x 2 x1 1 2 2 m y 2 y1 x2 x1 y= mx + b defines linear Agenda I know ? Algebra That the Line of Best Fit for a scatterplot has the same number of points above as below it. Why is the Line of Best Fit an average? Word points 3-13-2013 1a. Math Review April 15, 2014 2. Find the distance between (-5, 3) and (10,-5) -11 = - (5m+1) 1b. u+v+10u= v+u+10u 1c. 3. Plot the points and find the slope defined by: Line 1: (2, 2) and (2,-2) Line 2: (2, 2) and (-2,2) -2x+(x+2)= (-2x+x)+2 Properties of Real numbers: Associative, Commutative and Distributive. d y y x x 2 2 1 2 1 2 m y 2 y1 x2 x1 y= mx + b defines linear 1a. Math Review April 16, 2014 3. Plot the points 2. Find the and find the distance slope defined between (-5, 33) by: and (4,-7) 8 = - (3y+9) 1b. 2a+2b+a= 2b+2a+a 1c. 6x+(4x+8)= (6x+4x)+8 Properties of Real numbers: Associative, Commutative and Distributive. d y y x x 2 2 1 2 1 2 Line 1 (7, -2) and (-1,-2) Line 2 (-1,-2) and (7, -2) y 2 y1 m x2 x1 y= mx + b defines linear Agenda I know ? Algebra That a scatterplot has a line of best that is linear when the data has an average a constant rate of change. Why is the Line of Best Fit a straight line? Word Average 3-12-2013 1a. Math Review April 17, 2014 3. Plot the points 2. Find the and find the distance slope defined between (-5, 33) by: and (4,-7) 8 = - (3y+9) 1b. 2a+2b+a= 2b+2a+a 1c. Line 1 (1, 0) and (-2,6) Line 2 (0, 0) and (3,-6) 6x+(4x+8)= (6x+4x)+8 Properties of Real numbers: Associative, Commutative and Distributive. d y y x x 2 2 1 2 1 2 m y 2 y1 x2 x1 y= mx + b defines linear Agenda Algebra I know That a scatterplot provides a summary of the data points. ? How do you draw a Line of Best Fit? Word Line of Best Fit 3-4-2013 Agenda Geometry I know How to analyze the pattern in an algebraic relationship using: tables, graphs and equations. ? How do you find the common ratio in a geometric sequence? Word 3-4-2013 Agenda I know ? Geometry How to analyze the pattern in an algebraic relationship using: changes in y. How do you find the common difference/slope in an algebraic sequence? Word m = 3-5-2013 Agenda Geometry I know the distance formula will find the distance between two points. ? How do you find the distance between two points? Word d x x 2 1 2 y y 2 1 2 3-6-2013 d y y x x 2 1 2 1 Math Review April 1a. a+(b+c)=(a+b)+c 2a. Find the distance between (3, 4) and (0,0) 1b. a+b +c=b+a+c 1c. 21, 2014 2b. Solve for c. a=4 and b=3 3. Plot the points, draw the line and find the equation defined by: (-3, 5) and (0, 2) 2(x+1)=10 Properties of 2 2 y= mx + b Real numbers: d y y x 2 x1 2 1 defines linear Associative, Commutative a2+b2=c2 and Distributive. Math Review April 22, 2014 1a. -(2x+2)=16 3. Plot the points, draw the line and find the equation defined by: 2. Find the distance between (-4, 3) and (0,0) 1b. 9x+y+3x= y+9x+3x 2b. Solve for c. 1c. (-2, 4) and (1, 1) a=3 and b=4 5x+(4x+3)= (5x+4x)+3 Properties of Real numbers: Associative, Commutative and Distributive. d y y x x 2 2 a2+b2=c2 1 2 1 2 y= mx + b defines linear Math Review April 23, 2014 1a. 3(2x+2)=18 2. Find the distance 1b. between (2, 3) x+3y+5x= and (-6, 9) 3y+x+5x 2b. Solve for c. 1c. a=6 and b=8 7x+(3x+1)= (7x+3x)+1 Properties of Real numbers: Associative, Commutative and Distributive. d 3. Plot the points, draw the line and find the equation defined by: (-2, -4) and (2, 4) y y x x 2 2 a2+b2=c2 1 2 1 2 y= mx + b defines linear Math Review April 24, 2014 1a. -7(2x+2)=28 1b. 7x+y+x= y+7x+x 1c. 2a+(a+9)= (2a+a)+9 Properties of Real numbers: Associative, Commutative and Distributive. 2a. Find the distance between (-6, 3) and (6,-2) 3. Plot the points, draw the line and find the equation defined by: 2b. Solve for c. a=5 and b=12 d (5, 3) and (-1, -3) y y x x 2 2 1 a2+b2=c2 2 1 2 y= mx + b defines linear Solve Steps Word Problems 1. 2. 3. 4. 5. 6. Draw – picture, graph, table Known- from inside and outside the problem Unknown – what are you being asked to find Relationship – between known and unknown Solve Answer: Does it make sense? Plug it back in Solve Steps 1. 2. 3. Use GEMDAS - work one side then the other Isolate the variable - when there is nothing left to do on either side Use one variable to solve for the other(s) - for a system Solve Steps 1. 2. 3. Read and write down the problem Ask yourself - What do I do next? Think - about what you know 2y=4x+6 y=2x+3 Agenda Linear Functions I know the slope intercept form defines linear. ? Word Why do linear equations graph a straight line? Change in y Change in x 11-14-2012 Number Theory Real Irrational Rational a form b positive, negative and zero Integers Whole positive zero Real Numbers Agenda Real Number Operations I know Multiplication is repeated addition; Division repeated subtraction ? What are the four things you can do to a number? Word Inverse 9-10-2012 Decimal – place value Y-intercept X-intercept •Find the y-intercept by setting x to zero and solving for y. •Find the x-intercept by setting y to zero and solving for x Notebook Organizer Notes from class Notes from class Date Title Happy Mole Day!!!!