Section 6.3-6.4 Practice (Day 2) Section 6.5 Summary Algebra 1

Problem 1 More Reps Solve by elimination 3𝑥−4𝑦=−6 2𝑥+4𝑦=16 More Weight 𝑥+𝑦=58 2𝑥+4𝑦=168

Problem 2 The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 16 vans and 5 buses with 417 students. High School B rented and filled 10 vans and 8 buses with 480 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?

Problem 3 More Reps Solve by elimination 5𝑥+𝑦=15 3𝑥+2𝑦=9 More Weight 7𝑥−2𝑦=1 21𝑥−6𝑦=3

Problem 4 2𝑦−16𝑥=−2 3𝑦−24𝑥=0

Summary of Methods Graphing Method Substitution Method Takes the longest & only use if instructed to Substitution Method Easiest when there is a solo “x” or “y” Elimination Method All other cases

Identify the Best Method 1) 2𝑥−𝑦=4 7𝑥+3𝑦=27 2) 4𝑥+2𝑦=−14 5𝑥+3𝑦=−17 3) 2𝑥+7𝑦=1 𝑥+5𝑦=2