Math 1B Unit 7 Part 1 Jeopardy

100 200 300 400 500 Pythagorean Theorem Circles Midpoint Slope Parallel and Perpendicular Systems 100 200 300 400 500

State the Pythagorean Theorem 100 points State the Pythagorean Theorem

200 points Find the length of the missing side. c=10 6 8

300 points John drives 30 miles north and then drives 15 miles east. How far is John from his starting point?

400 points Find the distance between points A and B. A=(-3,2) and B=(2,5)

500 points Anna bought a 60 inch TV (this means the diagonal is 60inchs). If the length of the TV is 45 inches what is the width?

What is the General Equation for a Circle?? 100 points What is the General Equation for a Circle??

200 points (𝑥−3 ) 2 +(𝑦+2 ) 2 =25 Find the center and radius. Center: (3,-2) Radius=5

300 points Write the equation for a circle with a center of (-2, 5) and a radius of 3 (𝒙+𝟐 ) 𝟐 +(𝒚−𝟓 ) 𝟐 =𝟗

400 points Find the coordinate(s) on the circle where y=0. (5,0) and (-5,0)

500 points Find the coordinate(s) where x=6 (6,-8)

State the Midpoint Formula 100 points State the Midpoint Formula M= 𝒙 𝟏 + 𝒙 𝟐 𝟐 , 𝒚 𝟏 + 𝒚 𝟐 𝟐

200 points Find the midpoint of a line segment with endpoints A(-2,4) and B( -8, -4) Midpoint: (-5, 0)

300 points Find the Midpoint of the Segment. Midpoint at (0, -1) (2,3) (-2,-5)

400 points A segment has an endpoint at (-1,9) and a midpoint at (-5,4) what is the other endpoint? Endpoint at (-9, -1)

500 points A segment has an endpoint at (-1,9) and an endpoint at (3,5) what is the midpoint? Midpoint at (1,7)

Change in y over change in x 100 points What is slope?? Change in y over change in x m= 𝒚 𝟐 − 𝒚 𝟏 𝒙 𝟐 − 𝒙 𝟏 Rise over Run

200 points What is slope-intercept form of a line?? y=mx+b

Find the slope of a line that goes through point (1,3) and (3,7) m=2 300 points Find the slope of a line that goes through point (1,3) and (3,7) m=2

400 points Find the slope of a line passing through points (-4,3) and (2,7) 𝒕𝒉𝒆 𝒔𝒍𝒐𝒑𝒆 𝒊𝒔 𝟐 𝟑

500 points Find the slope of a line that passes through the points (-7,20) and (-7,20) The slope is undefined

100 points Perpendicular lines have ___________ slope. Parallel lines have ________________ slope. Perpendicular lines have the same slope. Parallel lines have opposite reciprocal slope

200 points Write an equation of a line perpendicular to y= 1 2 𝑥+3 and has a y-intercept of 8. y=-2x+8

300 points Write the equation of a line parallel to y=6x-2 with a y-intercept of -1. y= −𝟏 𝟔 −𝟏

400 points What are the properties of a square?? Opposite Sides Parallel, 4 right angles, all sides congruent.

500 points Find the 4th point of the rectangle. A (-8,0); B(-6,-4); C (6,2); D=?? D(4,6)

Inconsistent Systems have ________solutions(s). 100 points Independent systems have _______solution(s) Dependent systems have _______ solution(s) Inconsistent Systems have ________solutions(s). ONE Infinite NO

200 points How many solutions does the system have? If only one solution find it. 𝒚=𝟐𝒙+𝟏 −𝟒𝒙+𝟐𝒚=𝟐 The system is dependent. Infinite Solutions.

300 points How many solutions does the system have? If only one solution find it. 𝒚=−𝟐𝒙+𝟓 −𝟑𝒙+𝟑𝒚=𝟏𝟓 One solution at (0,5)

400 points How many solutions does the system have? If only one solution find it. 𝒚=𝟑𝒙+𝟐 −𝒙+𝟑𝒚=𝟏𝟐 One Solution at (.75, 4.25)

One solution at (2,0) 500 points How many solutions does the system have? If only one solution find it. 𝒚=𝟐𝒙−𝟒 𝟐𝒚=−𝒙+𝟐 One solution at (2,0)