Unit 5 Bingo Review

Please add these answers in any order to your blank bingo sheet. y=2x+13 4 20 y= −1 3 x+1 6 78 (2, 5) y= 3 2 x-10 (𝑥+4) 2 + 𝑦 2 =25 12 y=5x+3 160 8 ( 11 2 , 9 2 ) 17.2 yes (-3, 2) 2.5 (2, -3) 3526 157.4 (3, -2) (1, 2) (𝑥−5) 2 + (𝑦−1) 2 =16

#1 – Parallel & Perpendicular Lines Write the equation of a line with a slope of 5 and goes through the point (0, 3).

#2 – Parallel & Perpendicular Lines Find an equation of the line that is parallel to y = 2x + 8 that passes through (-6, 1).

#3 – Coordinate Proofs When proving that a polygon is a rectangle, you can show that 2 pairs of opposite sides are congruent. What is the length of the long sides of this polygon?

#4 – Coordinate Proofs To prove a polygon is a rhombus, the diagonals must be perpendicular. What is the length of 𝐵𝐷 ?

#5 – Area and Perimeter What is the perimeter of this triangle?

#6 – Area and Perimeter What is the area of the triangle?

#7 – Midpoint & Directed Line Segment Find the coordinates of point T so that it partitions AB into a ratio of 1:3. A (-8, -1) and B (12, 11)

#8 – Midpoint & Directed Line Segment Find the midpoint of line segment 𝐴𝐵 with A (-8, -1) and B (12, 11).

#9 – Equations of Circles What is the center of the circle with the equation (𝑥−2) 2 + (𝑦+3) 2 ?

#10 – Equations of Circles Write an equation of a circle (in standard form) with center (-4, 0) and a diameter of 10.

#11 – Density and Modeling A brick has a mass of 3 kg. It occupies 0.75 L of space. What is it the density of the brick?

#12 – Density and Modeling A fish tank in the shape of a rectangular prism is 30 inches long, 15 inches wide, and 40 inches tall. If 1 gallon = 231 cubic inches, what is the amount of water the tank can hold to the nearest gallon?

#13 – Parallel & Perpendicular Lines Find an equation of the line that is perpendicular to y = 3x + 1 that passes through (9, -2).

#14 – Parallel & Perpendicular Lines Write an equation of a line perpendicular to the line 2x+3y=9 and passes through the point (6,-1).

What is the distance between (3, - 4) and (7, 8)? #15 – Coordinate Proofs What is the distance between (3, - 4) and (7, 8)?

#16 – Area and Perimeter What is the area of this triangle?

#17 – Midpoint & Directed Line Segment Find the Point F that partitions the directed line segment at 1/4 the distance. E(4,4) and G(10,6).

#18 – Midpoint & Directed Line Segment Find Point Q that partitions the directed line segment in a ratio of 1:2. P(-2,4) and S(7,-2).

#19 – Equations of Circles Write the equation of the circle in standard form.

#20 – Equations of Circles What is the center of the circle given by the equation 𝑥 2 + 𝑦 2 −6𝑥+4𝑦+9=0?

#21 – Density and Modeling You are designing a new cylinder container for raisins. The volume of the container must be 100 cubic inches. The CEO of the company wants the height of the container to be 2 times the size of the radius. To the nearest tenth, what should the radius be?

#22 – Density and Modeling Demographers calculate the population density of a city by the number of people per square mile. In 2016, Atlanta had 472, 522 people living in 134.02 square miles. What was Atlanta’s population density in 2016 (to the nearest person)?

#23 – Equations of Circles The circle has its center at point (1, 2) and point A(1, 5) is on the circle. Is point B(4, 2) on the circle?

#24 – Density and Modeling Iron has a density of 7.87 g/mL. What mass of iron occupies a volume of 20 mL?