WorksheetsWord Problems
Total questions: 20
Worksheet time: 2hrs 30mins
A 100-point test has x questions worth 2-points each and y questions worth 4 points each.
Which equation describes all possible numbers of questions that may be on the test?
2x + 4y = 100
4x + 2y = 100
2x = 4y
6xy = 100
The booster club made $708 on homecoming T-shirt sells. Small t-shirts cost $12 while large t-shirts cost $14. If x is small t-shirts and y is large t-shirts, what equation represents this.
12x + 14y = 708
14x + 12y = 708
708x + 14y = 12
12x + 708y = 14
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20.
Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?
4x + 3y = 8.10
4x + 5y = 10.80
4x - 5y = 10.80
4x + 10.80y = 5
A store sells sodas for $2 each and chips for $1.50 each. You plan on spending $17.50 on drinks and snacks for you and your friends.
Which equation would represent the total amount of points earned, if x represents drinks and y represents chips?
17.50x+1.50y=2
2x-1.50y=17.50
2x+1.50y=17.50
2x+1.50y=19
In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. You've earned 250 total points.
Which equation would represent the total amount of points earned, if x represents jewels and y represents stars?
5x+2y=250
5x-2y=250
2x-5y=250
250x+5y=2
Writing the equation
You have $28 to spend on Tech-decks and Takis. Tech-decks cost $7 each and jumbo bags of Takis cost $4 each.
Let x = # of Tech-decks
Ley y = # of bags of jumbo Takis
What equation should you use for this word problem?
28x+7y=4
4x+7y=28
7x+4y=28
4x+28y=7
Writing the equation
You have $18 to spend on Uber Eats credits and hats for Among us. Uber Eats credits are $1 each and hats for Among Us cost $2 each.
Let x = # of Uber Eats credits
Ley y = # of hats for Among Us
What equation should you use for this word problem?
y+18x=2
x+2y=18
2x+y=18
18x+y=2
Write an equation in Standard Form.
A store sells t-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.
2x + 5y = 120
12x + 15y = 120
12 + 15y = 2x
12x + 15 = 120
Faith was working admissions to the basketball game is $5 for students (x) and $7 for adults (y). If the faith made $500 dollars at the game on ticket sales, write an equation that represents this scenario.
7x+5y=500
y=7x+500
5x+7y=500
y=500x+7
Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.
y = 4x + 1.50
y = 1.50x + 4
y = -4x +1.50
y = 4x - 1.50
An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation.
y = - 2,000x + 30,000
y = - 2,000x - 30,000
y = 30,000x + 2,000
y = -30,000x + 2,000
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.
C = 50h + 25
C = 25h + 50
C = 50h - 25
H = 25h - 50
A farm has 75 acres of wheat. The farmer can harvest the wheat from 12 acres per day
(a)
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour.
(a)
A lawyer charges a fixed fee on $250 for an initial meeting and $150 per hour for all hours worked after that.
(a)
Nick is given $50 to spend on a vacation . He decides to spend $5 a day
(a)
A taxi charges a flat rate of $3, plus an additional $1.50 per mile.
(a)
