Math Word Problems Demystified - A Self Teaching Guide
31 x 3 ¼ 30 3 x¼10 hours Hence it will take 10 hours to fill the pool. EVALUATION: Check the equation: x 6 x 15 ¼ 1 x¼ 10 10 6 ...
IMPLEMENTATION: Solve the equation: 30 80 þ 30 x ¼ 1 The LCD¼ 80 x 80 x 1 30 80 þ 80 30 ¼ 80 x 1 30 xþ 80 30 ¼ 80 x 30 xþ ...
Sarah can complete a project in 90 minutes and her sister Betty can complete it in 120 minutes. If they both work on the projec ...
51 x 5 ¼ 18 5 x¼ 3 :6 hours Letx¼the time it takes if both people work together. 1 12 xþ 1 15 x¼1 LCD¼ 60 605 1 x 121 þ 604 ...
Letx¼the time it will take to fill the tank if both pipes are open at the same time. 1 45 xþ 1 60 x¼1 LCD¼ 180 1804 1 x 451 ...
Letx¼the time it will take Walter to complete the project. 45 75 þ 45 x ¼1 LCD¼ 75 x 751 x 45 751 þ 75 x 45 x ¼ 75 x 1 45 x ...
Letx¼the time it takes Mary to make the costume and 2x¼the time it takes Sam to make the costume. 6 x þ 6 2 x ¼1 LCD¼ 2 x 2 x ...
Quiz 4 Juan is 5 years older than his sister. Ten years ago, he was twice as old as his sister. Find his present age. (a) 15 (b ...
A boat travels to a destination upstream in 2 hours and returns in 1.5 hours. If the current is 5 miles per hour, find the spee ...
Bernie, who weighs 95 pounds, sits on one end of a 20-foot seesaw. How far from the fulcrum must Billy, who weighs 118.75 pound ...
REFRESHER V Systems of Equations Two equations with two variables, usuallyxandy, are called asystemof equations. For example, x ...
In other words, in order to solve a system of equations, it is necessary to find a value forxand a value forywhich, when substit ...
Step 3: Selectxy¼3, substitutey¼2 and solve forx. xy¼ 3 x 2 ¼ 3 x 2 þ 2 ¼ 3 þ 2 x¼ 5 Hence, the solution to the system isx¼5 ...
10 y¼ 30 101 y 101 ¼ 30 10 y¼ 3 Step 3: Substitute3 foryin the first equation and find the value forx. xþ 3 y¼ 7 xþ 3 ...
4 xþ 3 y¼ 1 4 x 4 xþ 3 y¼ 1 4 x 3 y¼ 1 4 x 31 y 31 ¼ 1 4 x 3 y¼ 1 4 x 3 Step 2: Substitute in the first equation. 5 x ...
3 y¼ 9 31 y 31 ¼ 9 3 y¼ 3 The solution isx¼2 andy¼3. You can check the answer. Try These Solve each system. 1 : 5 xþy¼ 7 2 x 3 ...
Substitute in the second equation and solve forx. 2 x 3 y¼ 4 2 x 3 ð 7 5 xÞ¼ 4 2 x 21 þ 15 x¼ 4 17 x 21 ¼ 4 17 x 21 þ ...
36 þ 12 yþ 5 y¼ 2 36 þ 17 y¼ 2 36 þ 36 þ 17 y¼ 2 þ 36 17 y¼ 34 171 y 171 ¼ 34 17 y¼ 2 Findx: xþ 3 y¼ 9 xþ 2 ð 3 Þ¼ 9 xþ ...
101 x 101 ¼ 40 10 x¼ 4 Findy: 2 xþy¼ 13 2 ð 4 Þþy¼ 13 8 þy¼ 13 8 8 þy¼ 13 8 y¼ 5 Substitute forxin the second equation and ...
3 x 2 þ 2 ¼ 11 þ 2 3 x¼ 9 31 x 31 ¼ 9 3 x¼ 3 Findy: y¼xþ 2 y¼ð 3 Þþ 2 y¼ 3 þ 2 y¼ 5 206 REFRESHER V Systems of Equation ...
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