$100 $200 $300 $400 $500 $200 $300 $400 $500 Sys. Of Eq. - Graphing Scatter Plots Sys. Of Inequalities Slope and y- intercept Functions & Relations

Systems of Equations – Graphing for $100 What is the solution to the following system of equations shown by the graph:

Answer Back The lines intersect at the point (-3, 1)

Systems of Equations – Graphing for $200 What is the solution to the following system of equations shown by the graph:

Answer Back There is no solution – the lines are parallel and thus they never intersect.

Systems of Equations – Graphing for $300 Write a system of equations to describe the following graph:

Answer y = -x + 2 and y = 2x - 1 Back

Systems of Equations – Graphing for $400 Solve the following system of equations by graphing: y = (1/2)x + 2 y = (-3/4)x - 3

Answer Back y = (1/2)x + 2 y =(-3/4)x – 3 Solution: (-4, 0)

Systems of Equations – Graphing for $500 Solve the following system of equations by graphing: y = 2x - 5 3x + y = 0

Answer Solve both equations for slope-intercept form: 3x + y = 0 -3x y = -3x And y = 2x -5 Solution: (1, -3) Back

Scatter Plots for $100 Does the following scatterplot show a positive, negative, or no correlation? How do you know?

Positive because as one variable increases the other variable also increases Answer Back

Scatter Plots for $200 Make a scatter plot for the following data comparing practice to score in a violin competition, and draw in the trend line: Practice (weeks)Score

Answer Back

Scatter Plots for $300 What is wrong with the following scatter plot? (Name 2 things)

Answer 1)The line of best fit is not correct. 2)There is no arrow at the end of the trend line Back

Scatter Plots for $400 Use a graphing calculator to find the equation of the line of best fit for the data. Average Speed (mi/h)Time (Hours)

y = –1.11x Answer Back

Scatter Plots for $500 Use a graphing calculator to find the equation of the line of best fit for the data. GRAPH on your whiteboard YearDistance (meters)

Answer y = 0.864x Back

Slope and y-Intercept for $100 Write the linear equation for slope-intercept form.

Answer y = mx + b Back

Slope and y-Intercept for $200 Write the equation of the line in slope-intercept form that has a slope of -3 and a y-intercept of 5

Answer Back Slope-intercept Form: y = mx + b So, Y = -3x + 5

Slope and y-Intercept for $300 Write the equation of the line through points (2, 3) and (4, -1) in slope intercept form

Slope Intercept Form: y = mx +b Points: (2, 3) and (4, -1) m = (y2 – y1)/(x2 – x1) m = (3- -1)/(2 – 4) = 4/-2 = -2 Slope-intercept Form: y = mx + b 3 = -2(2) + b b = 3+4 = 7 y = -2x + 7 Answer Back

Slope and y-Intercept for $400 Write the equation of the line in slope-intercept form: The line through points (-2, 3) and (0, -1)

Answer Point: (-2, 3) Point: (0, -1) m = (y 2 – y 1 )/(x 2 – x 1 ) m = (-1- 3)/(0 – -2) = -4/2 = -2 Slope-intercept Form: y = mx + b -1 = -2(0) + b -1 = b Thus, y = -2x - 1 Back

Slope and y-Intercept for $500 Write the equation of the line in slope intercept form:

Answer Slope Intercept Form: y = mx +b Pick two points on the line: Points: (-4, -1) and (0, -2) m = (y2 – y1)/(x2 – x1) m = (-1- -2)/(-4 – 0) = 1/-4 = -1/4 B = -2 because that is y when x = 0 Thus, the equation of the line is y = -1/4x - 2 Back

Functions and Relations for $100 Define: Relation

Answer Relation – A set of ordered pairs Back

Functions and Relations for $200 Draw a mapping diagram for the following set of data. Is it a function? (3,4) (2,1) (5,7) (3, -2)

No it is not a function because one input (3) goes to two outputs (4 and -2) Answer Back DomainRange

Functions and Relations for $300 Write the following equation in function notation: y = 3x - 4

Answer y = 3x - 4 f(x) = 3x-4 Back

Functions and Relations for $400 Use the vertical line test to determine if the following graph is a function

Answer Yes, it is a function because the vertical line never hits more than one point at a time. Back

Functions and Relations for $500 Write the function rule from the given graph.

Answer Two points on the graph: (0, -3) and (1, -1) m = (y2 – y1)/(x2 – x1) m = ( )/ (0-1) m = -2/-1 = 2 y = mx + b y = 2x +b -3 = 2(0) + b b = -3 f(x) = 2x - 3 Back

Systems of Inequalities for $100 Graph the following inequality: y < -2x + 1

Answer y < -2x + 1 Back

Systems of Inequalities for $200 Graph the following inequality: y ≥ 3x + 3

Answer y > 3x + 3 Back

Systems of Inequalities for $300 Write an inequality to describe the following graph:

Answer The line is dashed so it is The graph is shaded above the line meaning it is > or ≥ Thus, it has to be > (The only one that is for dashed and shaded above) The line has a y-intercept of -2 and a y- intercept of -1, so the equation of the line is: y > -x - 2 Back

Systems of Inequalities for $400 Graph the following system of inequalities: y > -2x – 3 4x -2y ≥ 8

Answer Back Write both eq.’s in slope intercept form: y > -2x – 3 and 4x -2y ≥ 8 -4x -2y ≥ -4x y ≤ 2x - 4

Systems of Inequalities for $500 Write a system of inequalities to describe the following graph:

Answer Back y < -x + 2 and y ≥ 3x + 6