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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
c5
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