For #1-6, solve each equation and show your algebraic manipulations. Models are OPTIONAL. Model Algebraic Steps 1. 9 = 15 + 2p 2. –7 = 2h – 3 3. 6 = 1 – 2n + 5 4. 8x – 2 – 7x = –9 5. 2(n – 5) = –4 6. –3(g – 3) = 6

Factor completely. 4p^2 + 36p + 81 express the answer in the form (ap + b)^2

Consider the proof. given: segment ab is parallel to line de. prove: what is the missing statement in step 5?

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem