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Inequalities
applications
Profit
mixed:
write an equation
100
-3x > 12
What is x < -4
100
Miquel is starting a business to make some extra money. He plans to charge a base fee of $20 plus $5 per hour. Write a function that could be used to represent his total fee, y, as a function of number of hours, x.
What is y = 20 + 5x
100
How much money will Henry raise if he sells raffle tickets to 350 people at $2 each?
What is $700
100
what is the perimeter of a rectangle with a length of 5x and width 2x?
What is 14x
100
twice a number is less than negative 22
What is 2x < -22
200
-1/5x < 4
What is x > -20
200
Trinity works part time at a grocery store to earn extra money to buy a new computer that costs $1,200. She currently has $300 saved and wants to add $50 each week from her pay check. Write an inequality that could be used to determine w, the number of weeks she will have to work, plus her savings, in order for her to have at least $1,200
What is 300 + 50x >= 1200
200
Write an equation to determine the profit (p) of selling tickets for your fundraiser at $5 each and you will have expenses of $225.
What is p = 5x - 225
200
What equation can be used to find the width of a rectangle with an area of 400 sq inches and a length of 80 inches
What is 80x = 400
200
The sum of a number and 6 is no more than 28
What is x + 6 <= 28
300
2 ( x + 3) < x + 12
What is x < 6
300
If Donya is at the arcade playing games and the first 3 games are free and then all games after that are .50 each. write an equation that represents c, the cost for Hunter to play, g, games at the arcade.
What c = .50 (g - 3)
300
How much will Brent be able to save in 6 weeks if he earns $100 a week, but must pay $20 a week for gas.
What is $480
300
The bag of fertilizer says that each bag will cover 500 square feet. Find an inequality Trinity can use to calculate the number of bags x, she will need to purchase to cover an area of at least 1,500 square feet.
What is 500x >= 1500
300
40 decreased by a number is 30
What is 40 - x = 30
400
6 + 8x > 2(x + 6)
What is x > 1
400
Donya is playing arcade games and the first 3 games are free, then .50 each, what will the cost be if he plays 13 games?
What is $5.00
400
Brents party will cost $500 for the disc jockey. 200 people come and he makes a profit of $300. If x represents the price each person paid, what equation could be used to find x?
What is 200x - 500 = $300
400
The rule you must you use for solving an equality if you divide or multiply by a negative in the last step
What is Reverse or flip the inequality symbol
400
3 times the sum of a number and 5 is more than 30
What is 3( x + 5) > 30
500
x + 7 -3(x - 5) > 3x - 3
What is x < 1
500
write an equation to compare the cost of Budget Rental that charges a fee of $40 a day and $2 per mile with Speedys Rental that charges $70 a day and $1,50 per mile. Write an equation to determine at how many miles the cost will be the same.
What is 40 + 2x = 70 + 1.50x
500
Write an equation to determine how many hotdogs Miguel will have to sell at $2.50 and drinks at $1.50 to make a profit of more than $100 after he paid $40 for supplies at the store.
What is ( 2.50x + 1.50x ) - 40 > $100
500
What is (2, 4) a solution to the equation 2x < y
What is NO
500
Two times a number decreased by 3 is less than 4 times the same number
What is 2x - 3 < 4x