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Unit 2 Inequality Quiz 2( 3n + 7) > 5n -3 (3x + 5) > -5 (2x – 2)

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Presentation on theme: "Unit 2 Inequality Quiz 2( 3n + 7) > 5n -3 (3x + 5) > -5 (2x – 2)"— Presentation transcript:

1 Unit 2 Inequality Quiz 2( 3n + 7) > 5n -3 (3x + 5) > -5 (2x – 2)

2 Writing Equations of a Line Y = mX + b m = slope of line b = y intercept/ starting point (X,Y) = coordinates Steps 1. Plot 1st point on Y- intercept 2. Plot slope from 1st point 3. connect points with ruler 4. sign line at end Graph y = 1/2 x -2 X Intercept = Y Intercept =

3 Writing Equations of a Line Y = mX + b m = slope of line b = y intercept/ starting point (X,Y) = coordinates Steps 1. Plot 1st point on Y- intercept 2. Plot slope from 1st point 3. connect points with ruler 4. sign line at end Y = 2/1 X -3

4 How do we find slope without using a coordinate plane? Y2 - Y1 Slope= ______ ________ X2 - X1

5 Finding equation of a line with given slope and 1 point Y = m x + b Slope = 2 (0,4) Steps 1. Plug given points into equation. 2. Solve for b. 3. Write equation. Slope = 1/2 (2,1) 1. Plug given points into equation. 2. Solve for b. 3. Write equation.

6 Graph 6y < 6 x -12 Using table of values. X y X Intercept = Y Intercept = Test Point (0,0) and Shade

7 Graph -3y > 1 x +9 Using table of values. X y X Intercept = Y Intercept = Test Point (0,0) and Shade

8 Graph y > 1/2 x -2 Using a table of values. X y X Intercept = Y Intercept = Graphing Inequalities Translate into equation 1. Y = 1/2 x - 2 2. Fill in table of values 3. Graph line 4. Shade after testing point

9 Is the point (3,5) on the line 3x + 2y = 1 How could we solve??

10 Madeline spent 120 minutes working on an English essay. On Tuesday, she spent 20 minutes linger than on Monday, and on Wednesday, she spent rwice as long as she did on Tuesday. How many minutes did she spend working on the essay each day if she finished on Wednesday?

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12 Given 2 points graph a linear equation Y2 - Y1 Slope = ______ ________ X2 - X1 Steps: 1. Find Slope 2. Sub 1 point and slope into equation. 3. Solve for b 4. Rewrite equation in proper form. 5. Graph (1, 3) (3,4) xyxyxyxy m= b=

13 Y= mx + b Graph y = 1/2 x -2 Plot x y Graph 2y -6 = 4x Plot x y

14 Write in slope-intercept form. x + y = 124x -3y = 0m= b= Finding equation of a line with given slope and 1 point Slope = 2 (0, 4) Steps 1. Plug given points into equation. 2. Solve for b.

15 Given 2 points graph a linear equation Y2 - Y1 Slope = ______ ________ X2 - X1 Steps: 1. Find Slope 2. Sub 1 point and slope into equation. 3. Solve for b 4. Rewrite equation in proper form. 5. Graph (1, 3) (3,4) xyxyxyxy m= b=

16 Graph the Equation y - 6 = 3( x - 4) y + 1 = 2( x - 5)

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18 Formal Definition of a Function A function relates each element of a set with exactly one element of another set(possibly the same set). X Does Not Repeat x y 1 2 2 4 3 6 4 8 x y 1 2 2 4 2 6 4 8 Domain = X Range=Y

19 Write coordinates of each point listed ABCDEABCDE A B C D E

20 1 2 3 4 Quadrants

21 State type of slope 1. 2. 3. 4. 1 2 3 4

22 http://kutasoftware.com/FreeWorksheets/Alg1Worksheets/Slope%20From%20a% 20Graph.pdf

23 Find slope of line passing through given points. (-4,1) and (3,4) Steps 1.Plot points 2.Count rise over run M = Rise Run

24 Find slope of line passing through given points. (1,1) and (3,-4)

25 http://kutasoftware.com/FreeWorksheets/Alg1Worksheets/Slope%20From%20an% 20Equation.pdf Finding slope from an equation Finding Slope from an Equation y = − 5 /2 x − 5 y = −4x − 1 2x − y = 1 −2y − 10 + 2x = 0 Steps 1. Put equation in proper Y= MX +B form 2. Identify slope B = Y intercept or Starting Point M = Slope

26 Finding Slope without using a Graph Y2 - Y1 ______ X2 - X1 M = X,YX,Y ( 2,3 ) ( 4, 4) Steps 1. Substitute Coordinates into slope formula. 2. Solve for M. (slope) X,Y X,Y ( -2,3 ) (4, -4) X,Y X,Y (-27,36) (14, -47) http://kutasoftware.com/FreeWorksheets/Alg1Worksheets/Slope%20From%20Two% 20Points.pdf

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28 Graph the given line Y= 2x - 3 X Y Make table for given line

29 Determine if the given point is on the given line: Y= 2X + 2 (1,4) X Y Steps 1. Put equation in Y=mx+b form 2. Graph on coordinate plane 3. Check points o r 1. Plug equation into calculator 2. Check points on table Or 1. Substitute Values of X and Y into equation 2. Simplitfy Equation 3. Are both sides equal?

30 Determine if the given point is on the given line: x = -4Y + 9 (1,2) X Y Steps 1. Put equation in Y=mx+b form 2. Graph on coordinate plane 3. Check points or 1. Plug equation into calculator 2. Check points on table

31 Evaluate f(x) Given f(x) = 3x-2 and g(x) = 1/2 x + 7, evaluate: 1. f (-3) 2. g (6)

32 Bonus 24 X + 8 + 10X = -2 (4 + 7X)


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