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Name ____________________________________________ Date ____________________ Score ___________ Algebra 1 Pre AP HW #2: Solving Equations with Variables on Both Sides Solve each equation as we did in class. Clear fractions, if necessary, and check even numbered problems, IN WRITING, using parentheses as we practiced in class. Express answers as integers or reduced fractions (NOT as decimals). 1) 10w 8w 14 3) 7m 3 4m 21 2) 2(3 x) 22 x 4) 7 2(n 5) 2n 3 7) 5(1 2m) 1 (8 20m) 2 5) 2 7 3 x 1 x 5 10 2 8) 3(4 g 6) 2(12 g 9) 6) 2 1 (c 1) 2c 3 2 9) Error Analysis. Describe and correct the error in solving the equation. 5c 6 4 3c 2c 6 4 2c 10 c5 10) A cheetah that is running 90 feet per second is 120 feet behind an antelope that is running 60 feet per second. How long will it take for the cheetah to catch up with the antelope? 11) A cheetah can run at top speed 12) BONUS: For what value of a for only 20 seconds. If an antelope will the equation have infinitely is too far away for a cheetah to many solutions? catch it in 20 seconds, the antelope if probably safe. Your friend claims a (2 x 3) 9 x 15 x that antelope in the previous problem will not be safe if the cheetah starts running 650 feet behind it. Is your friend correct? 13) Give an example of a linear equation that has (a) no solution and (b) infinitely many solutions. Justify your answers. Student Note: These links may not work on campus but will work at home. You may go to the iTutoring website and find the individual lessons in chapter 3. https://www.itutoring.com/video/lesson-7-solving-equations-with-variables-on-both-sides