My Math Forum I have many problems (refreshing) MID TERM TOMORROW
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 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 March 20th, 2012, 08:23 PM #1 Newbie   Joined: Feb 2012 Posts: 9 Thanks: 0 I have many problems (refreshing) MID TERM TOMORROW 2(4x +2) = 8 Show 4/12 is equivalent to 1/3 7/35 - 4/5 = Blank/5 Really confused. Denominator should equal when subtracting fractions. How is the listed answer use denominator of 5? 1/4x = 3 (1/4 x 12 = 3 doing math in my head, but how do you show it?) x = 12 right? 3(2x + 3) = 6x - 4
 March 20th, 2012, 09:01 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs Re: I have many problems (refreshing) MID TERM TOMORROW 1.) $2(4x+2)=8$ Factor a 2 from within the parentheses: $4(2x+1)=8$ Divide through by 4: $2x+1=2$ Subtract 1 from both sides: $2x=1$ Divide through by 2: $x=\frac{1}{2}$ 2.) $\frac{4}{12}=\frac{4}{3\cdot4}=\frac{1\cdot\cancel {4}}{3\cdot\cancel{4}}=\frac{1}{3}$ 3.) We may reduce the first term: $\frac{7}{35}=\frac{7}{5\cdot7}=\frac{1}{5}$ so now the expression is: $\frac{1}{5}-\frac{4}{5}=\frac{1-4}{5}=\frac{-3}{5}$ So -3 goes in the blank. 4.) $\frac{1}{4}x=3$ Multiply through by 4: $\frac{4}{4}x=4\cdot3$ $x=12$ 5.) $3(2x+3)=6x-4$ On the left distribute the 3: $6x+9=6x-4$ Subtract 6x from both sides: $9=-4$ This is false, so there is no solution to the equation. The geometric interpretation is trying to find the point of intersection of two separate parallel lines.

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