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Solving word problems involving one step Equations

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## Solving word problems involving one step Equations

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**Last week Danielle ran 17 miles more than Ryan. If Danielle**ran 35 miles. how many miles did Ryan run? The miles Ryan ran plus seventeen equals miles Danielle ran Write in your own words Let R be the number of miles Ryan ran Define the variable Let 35 be the number of miles Danielle ran Write an equation R + 17 = 35 R + 17 = 35 -17 -17 add the opposite Solve the equation R = 18 Ryan ran 18 miles Write a sentence**In seven years Ted will be 22 years old. How old is he now?**Age of Ted now plus seven equals Twenty two Write in your own words Let T be Ted’s age now Define the variable Let 22 be Ted’s age in seven years. Write an equation T + 7 = 22 T + 7 = 22 -7 -7 add the opposite Solve the equation T = 15 Ted now is 15 years old Write a sentence**The product of a number and three is twenty-seven.**What is the number If I multiply a number by three the answer is 27 Write in your own words Define the variable Let n be the number 3 n = 27 Write an equation 3 n = 27 Solve the equation 3 3 divide by 3 n = 9 The number is 9 Write a sentence**A telephone calling card allows for 25 cents per minute**plus one-time service charge of 75 cents. If the total cost of the card is $5, find the number of minutes you can use the card Let m be the number of minutes Define the variable Let 75 be the one-time charge .25m +.75 = 5 Write an equation .25m + .75= 5 -.75 -.75 add the opposite Solve the equation .25m = 4.25 .25 .25 divide by 3 m = 17 Write a sentence The card can be used for 17minutes.