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Algebraic Expression Word Problems
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A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?
7.5 ft
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In the world’s coldest freezer, sodium gas was cooled to a temperature of 78.5°C below zero and then cooled 194.65°C more. What was the new temperature of the sodium gas?
–273.15°C
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The price of a TV was reduced from $250 to $200. By what % was the price reduced?
20%
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Thư uses 6 grams of tea leaves to make 24oz of tea. Last week she made 288oz of tea. How many grams of tea leaves did Thư use to make tea last week?
72g
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Which expression could be used to represent the statement "2 years older than b?"
b+2
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Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?
4 boxes
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Jason says that 10 less than one third of his age is 11 years old. How old is Jason?
63 years old
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Erika sold half of her comic books and then bought sixteen more. She now has 36. How many did she begin with?
40
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The Egyptian museum charges $10 admission and the cost of special exhibits s at $5 each. Which of the following shows the correct expression for the cost of admission and the correct solution if s =2?
10 + 5s ; 20
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What is a number that multiplies a variable?
coefficient
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What is a letter or symbol used in place of unknown numbers or quantities?
variable
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What is a mathematical phrase that uses numbers, variables, or both with operations?
algebraic expression
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A pharmacist filled 5 prescriptions in 20 minutes. At this rate, how many prescriptions would the pharmacist expect to gill in 2 hours?
30
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A high school basketball team won exactly 65 percent of the games it played during last season. Which of the following could be the total number of games the team played last season?
20
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A car traveled at an average speed of 80 miles per hour for 3 hours and consumed fuel at a rate of 34 miles per gallon. Approximately how many gallons of fuel did the car use for the entire 3-hour trip?
7
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A soda company is filling bottles of soda from a tank that contains 500 gallons of soda. At most, how many 20-ounce bottles can be filled from the tank? (1 gallon = 128 ounces)
3,200
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Tom is planning to fence his rectangular garden. The length of the garden is 15 meters, and the width is 10 meters. Write an expressionthat represents the perimeter of Tom's garden?
2(15 + 10)
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Diego scores 11 more points than Travis. Together they score 21 points. How many points did each person score?
Diego: 16 pts Travis: 5 pts
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Papa John is 50 years old. His age is 2 years more than 3 times the age of Jimmy John. How old is Jimmy John? If Jimmy John is "x", what is the expression for Papa John?
3x + 2
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apa John is 50 years old. His age is 2 years more than 3 times the age of Jimmy John. How old is Jimmy John? Which person would be our "x"?
Jimmy John
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Tilly and Lilly worked together on a job. Tilly earned twice as much as Lilly, and together they earned $510. Which person should be our "x"?
Lilly
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156 people attended a wedding. A table can seat 8 people. What is the minimum number of tables that will be needed.
20 tables
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The price of n tickets to a concert is 6n + 7 dollars. What is the cost, in dollars, for 5 tickets to the concert?
$37
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You bought a magazine for $4.44 and some candy bars for $3.88 each. You spent a total of $16.08. How many candy bars did you buy?
3 candy bars
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Carlos rented a bike. It cost $12.70 plus $7.70 per hour. If Carlos paid $43.50, then he rented the bike for how many hours?
4 hours
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Jennifer spent half of her weekly allowance playing mini-golf. To earn more money she washed the dog for $9. What is her weekly allowance if she ended up with $21.50?
$25
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Kelly has some money she has already saved. After mowing two lawns on Saturday, she adds $40 to her savings. How much money has Kelly saved altogether? Let s represent the amount of money she already has in savings.
s + 40
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Tickets to the aquarium cost $27 per person. Write an expression to represent the total cost of tickets for a group of people. Let n represent the number of people in the group.
27n
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A box of pens costs $3 and a box of markers costs $5. The expression 3p + 5p represents the cost in dollars to make p packages that includes 1 box of pens and 1 box of markers. Simplify the expression by combining like terms.
8p
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Jeff sold the pumpkins he grew for $7 each. If he sold 30 pumpkins, how much money did he make?
$210
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Let "p" represent the number of paper clips in a box. If there are 76 boxes in a case, write an algebraic expression to show the total number of paper clips.
76(p)
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Amanda read 64 more books than Jan. If n represents the number of books Jan read, write an expression that represents the total number of books Amanda and Jan read.
2n + 64
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Kayla ate 3 more than twice as many pieces of candy as Luke. If x represents the number of candies Luke ate, write an expression that represents the number of candies Kayla ate.
2x + 3
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Cody has $450 in his savings account. He adds $20 to his savings account each week. Write an expression that represents the amount of money Cody has in his savings account after x weeks
450 + 20x
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George has 15 bills in his wallet. Some of the bills are ten-dollar bills, and the rest are five-dollar bills. He has x number of five-dollar bills. Write an expression that represents the number of ten-dollar bills George has?
15 – x
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Nancy has n number of baseball cards. Tony has 3 fewer baseball cards than Nancy. Write an expression that shows the number of baseball cards Tony has?
n – 3
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A car travels y kilometers in 1 hour. Express the speed of the car after 4 hours.
4y
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Agnes is q years old. How old she will be in 12 years?
q +12
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Each student has crayons (c) and pencils (p). If there are 26 students, how many crayons are there?
26c
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There are y carabaos and d ducks in the farm. How many legs are there?
4y + 2d
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I already have 5 pens, Mark give me 2 packs of pens. Each pack contains p pens. How many pens do I have now?
2p + 5
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In Grade 7A1, there are 7 girls and b boys. Write an expression that represents the total number of students in the class.
7 + b
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Rose had ten roses (r) in her garden. During weekends she buys additional roses. Express her total roses in algebraic expression.
10 + r
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Robert wants to fence his rectangular lot. If the length of the lot is 3 meters longer than its width. What is the perimeter of the of the rectangular lot if its width is y meters?
4y + 6 meters
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