Word Problem Practice: Define a variable. Write an algebraic equation. Solve and answer in a complete sentence. 1) George looked at his gas tank and noticed it was full. He went to the gas station and pumped 24 gallons of gas to fill up the tank. How many gallons does George’s tank hold?
2) Susan wanted to make a 640 gram snack containing Chex cereal, pretzels, and M&M’s. If she used three times as much Chex cereal than pretzels and 5 more grams than pretzels, how much of each ingredient did she use?
3) Fred, Mike and Steve are going on vacation to go skiing. To get to the slopes, Fred drives three times as far as Mike. Steve drives twice as far as Mike. If together they drove a total distance of 450 miles, how far did each person drive?
4) Stephanie is having a party and wants to serve cupcakes. She buys 35 cupcakes at a total cost of $61.25. What is the price per cupcake?
5) Nick breaks a wooden stick into 2 pieces. One piece is 35 cm shorter than the other. If the unbroken stick was 175 cm, what are the lengths of the 2 pieces?
6) Jason’s savings account had a balance of $2125. After he made a withdrawal to buy a video game, his balance was $2084. How much did Jason withdrawal from his bank account to buy the video game?
7) Peter wants to buy a new computer. He finds the computer he wants at a local Best Buy. The computer originally sells for $1359 is on sale for $1021 but only for this weekend. How much money will Peter save if he buys the computer this weekend?
8) Alison can drive her car for 37 miles on one gallon of gas. How much gas will she need if she is going on a trip that is 684.5 miles long?
9) The sum of twice a number and 42 is 22. What is the number?
Word Problem Practice: KEY Define a variable. Write an algebraic equations. Solve and answer in a complete sentence 1) George looked at his gas tank and noticed it was full. He went to the gas station and pumped 24 gallons of gas to fill up the tank. How many gallons does George’s tank hold? Let x = the total amount the gas tank can hold
Therefore, George’s gas tank will hold a total of 30 gallons of gas.
2) Susan wanted to make a 640 gram snack containing Chex cereal, pretzels, and M&M’s. If she used three times as much Chex cereal than pretzels and 5 more grams than pretzels, how much of each ingredient did she use? Let x = the number of grams of pretzels 3x = the number of grams of Chex mix x + 5= the number of grams of M&M’s x + 3x + x + 5 = 640 Therefore, Susan used 381 grams of Chex cereal, 127 grams of pretzels, and 132 grams of M&M’s. 3) Fred, Mike and Steve are going on vacation to go skiing. To get to the slopes, Fred drives three times as far as Mike. Steve drives twice as far as Mike. If together they drove a total distance of 450 miles, how far did each person drive? Let x = the number of miles Mike drove 3x = the number of miles Fred drove 2x = the number of miles Steve drove x + 3x + 2x = 450 Therefore, Fred drove 225 miles, Mike drove 75 miles, and Steve drove 150 miles. 4) Stephanie is having a party and wants to serve cupcakes. She buys 35 cupcakes at a total cost of $61.25. What is the price per cupcake? Let x = the price of one cupcake 35x = 61.25 Therefore, the price of one cupcake is $1.75.
5) Nick breaks a wooden stick into 2 pieces. One piece is 35 cm shorter than the other. If the unbroken stick was 175 cm, what are the lengths of the 2 pieces? Let x = the length of the shorter piece x + 35 = the length of the longer piece x + x + 35 = 175 Therefore, the length of the shorter piece is 70 cm and the length of the longer piece is 105 cm. 6) Jason’s savings account had a balance of $2125. After he made a withdrawal to buy a video game, his balance was $2084. How much did Jason withdrawal from his bank account to buy the video game? Let x = the amount of Jason’s withdrawal 2125 – x = 2084 Therefore, Jason withdrew $41 from his savings account to buy the video game. 7) Peter wants to buy a new computer. He finds the computer he wants at a local Best Buy. The computer originally sells for $1359 is on sale for $1021 but only for this weekend. How much money will Peter save if he buys the computer this weekend? Let x = the amount of money Peter will save 1021 + x = 1359 Therefore, Peter will save $338 on the computer if he buys it this weekend. 8) Alison can drive her car for 37 miles on one gallon of gas. How much gas will she need if she is going on a trip that is 684.5 miles long? Let x = the amount of gas Alison will need for a 684.5 mile trip 37x = 684.5 Therefore Alison will need 18.5 gallons of gas to complete her 684.5 mile trip. 9) The sum of twice a number and 42 is 22. What is the number? Let x = the number 2x + 42 = 22 Therefore, the number is -10.