Unit 12 Review

Simplify the expression 48 𝑚 3

Simplify the expression 7 𝑘 4 ∗3 𝑘 2 𝑝

Simplify the expression 2 𝑥 3 +6 𝑥 2 −𝑥 −(2 𝑥 3 −4 𝑥 2 +2)

Simplify the expression (2 𝑥 2 −6)(𝑥+3)

Practice Word Problem Tanya walked for 17 minutes from her home to a friend that lives 1.5 kilometers away. 𝑑(𝑡) models Tanya’s remaining distance to walk (in kilometers), 𝑡 minutes since she left home. What’s the appropriate domain? 1.5≤𝑡≤17; 1.5, 17 0≤𝑡≤1.5; 0, 1.5 −1.5≤𝑡≤0; −1.5, 0 0≤𝑡≤17;[0, 17]

Where is the function increasing? −∞, 1 1, ∞ −1, 3 (−∞, 7)

Graph the equation. 𝑦=− 𝑥−3 +4

EVEN or ODD or NEITHER?

Find the inverse of ℎ 𝑛 =2𝑛−3

Simplify −4+8𝑖 (3+8𝑖)

Practice Word Problem Road Runner is eating some seed along the road. Wile E. Coyote has an anvil ready to drop on Road Runner’s head. If Wile E. Coyote has the anvil 17 feet in the air and Road Runner is 2 feet tall, how long does Road Runner have to move before the anvil will hit him on the head? (Use ℎ 𝑡 =−16 𝑡 2 + 𝑣 0 𝑡+ ℎ 0 to help you.) Less than 1 second Less than 1.5 seconds (more than 1 second) Less than 2 seconds (more than 1.5 seconds) Less than 2.5 seconds (more than 2 seconds)

Zero’s/Solutions Find the zeroes of 𝑓 𝑥 = 𝑥 2 −8𝑥+7

Real vs Imaginary Solutions

𝑆𝑖𝑚𝑝𝑙𝑒 𝐼𝑛𝑡𝑒𝑟𝑒𝑠𝑡 𝑃𝑟𝑜𝑏𝑙𝑒𝑚𝑠 𝐴=𝑃 1+𝑟 𝑡

Dilation and Similarity What similarity criterion can be used to prove ∆𝐴𝐵′𝐶′~∆𝐴𝐵𝐶? Find 𝐵𝐶 5 2 6

Similar Triangles

Dilation Given a segment with endpoints A(3, 2) and B (6, 2). Find the coordinates of point C between A and B so that the ratio of AC to CB is 1:2 𝐴𝐶 𝐶𝐵 = 1 2 . HINT: start by plotting the first two points!!!

TRIGONOMETRY!!!! 𝑠𝑖𝑛𝜃= 𝑐𝑜𝑠𝜃= 𝑡𝑎𝑛𝜃=

Trigonometry Practice

Area of the BASE x height Volume Area of the BASE x height

Parts of a Circle

Probability Find 𝑃(𝐶𝑎𝑡𝑠) Find 𝑃 𝐶𝑎𝑡𝑠∩𝐷𝑜𝑔𝑠 Find 𝑃(𝐶𝑎𝑡𝑠∪𝐷𝑜𝑔𝑠)