Math Word Problems Demystified - A Self Teaching Guide
Letx¼Mike’s age andxþ 4 ¼Mark’s age. xþxþ 4 ¼ 20 2 xþ 4 ¼ 20 2 xþ 4 4 ¼ 20 4 2 x¼ 16 21 x 21 ¼ 16 2 x¼ 8 ðMike’s age) xþ 4 ...
54 2 x¼ 24 54 54 2 x¼ 24 54 2 x¼ 30 21 x 21 ¼ 30 2 x¼15 years ago Letx¼Pat’s brother’s age andxþ 5 ¼Pat’s ag ...
3 x¼ 48 31 x 31 ¼ 48 3 x¼ 16 ðTyler’s ageÞ 36 x¼ 36 16 ¼ 20 ðAlane’s ageÞ Letx¼Ashley’s age andxþ 2 ¼Tara’s age; thenx 4 ¼A ...
Letx¼Phil’s age andxþ 4 ¼Will’s age; thenx 1 ¼Phil’s age one year ago andxþ 4 þ 3 ¼Will’s age in 3 years. xþ 4 þ 3 ¼ 2 ðx 1 Þ ...
LESSON 13 Solving Distance Problems The basic formula for solving distance problems is distance¼ratetime orD¼RT. For example, i ...
Fill in the information in the table. Write an equation for the situation. EXAMPLE:A person walked from his home to the footba ...
25 t¼ 44 251 t 251 ¼ 44 25 t¼ 1 :76 hours The distance, then, isD¼RTorD¼ 3 1.76¼5.28 miles. EVALUATION: You can check the answe ...
lett¼the time the AMTRAK train travels and placetin the top box under Time. Let (tþ4) be the time the freight train travels and ...
EVALUATION: Check to see if the distance the freight train travels is the same as the AMTRAK train; that is, 105 miles. D¼RT D¼ ...
If you look at Figure 13-3, you will see that the total distance is thesum of the individual distances each car went, since each ...
person drives 5 miles slower than the second person. If they meet in 3 hours, at what rate of speed did each travel? Two planes ...
x¼30 miles per hour xþ 5 ¼ 30 þ 5 ¼35 miles per hour Lett¼the time of the planes. Rate Time ¼ Distance Plane one 150 t 150 t ...
Lett¼the time it takes to ride to the friend’s house and 1.5t¼the time it takes to walk back. Rate Time ¼ Distance To frien ...
It will take 0.5 hour or half an hour to overtake the person on the bicycle. Another type of distance problem involves an airpla ...
IMPLEMENTATION: Solve the equation: 3 4 ð 20 þxÞ¼ 1 ð 20 xÞ 41 1 3 41 ð 20 þxÞ¼ 4 1 ð 20 xÞ 3 ð 20 þxÞ¼ 4 ð 20 xÞ 60 þ 3 x ...
EXAMPLE:An airplane flies from Pittsburgh to Harrisburg in 1.5 hours and returns in 2 hours. If the wind speed is 16 miles per h ...
To Pittsburgh: D¼ 2 ðx 16 Þ ¼ 2 ð 112 16 Þ ¼ 2 ð 96 Þ ¼192 miles Try These A plane flies from New Eagle to North Oak in 3 ho ...
3 ðxþ 25 Þ¼ 4 ðx 25 Þ 3 xþ 75 ¼ 4 x 100 3 x 4 xþ 75 ¼ 4 x 4 x 100 xþ 75 ¼ 100 xþ 75 75 ¼ 100 75 x¼ 175 x 1 ¼ ...
5 ðx 25 Þ¼ 4 ðxþ 20 Þ 5 x 125 ¼ 4 xþ 80 5 x 4 x 125 ¼ 4 x 4 xþ 80 x 125 ¼ 80 x 125 þ 125 ¼ 80 þ 125 x¼205 miles per hour ...
4 ðxþ 22 Þ¼ 6 ðx 22 Þ 4 xþ 88 ¼ 6 x 132 4 x 6 xþ 88 ¼ 6 x 6 x 132 2 xþ 88 ¼ 132 2 xþ 88 88 ¼ 132 88 2 x¼ 220 ...
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