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WorksheetsWriting Equations from Verbal Descriptions
Total questions: 8
Worksheet time: 4mins
For the school dance tickets are $3 for couples and $2 for singles. If 365 tickets were sold and the total receipts were $925, which pair of equations would determine the number of each ticket sold?
x−y=365
3x+2y=925
x−y=365
x+y=925
3x+2y=365
x+y=925
x+y=365 3x+2y=925
Josiah currently has $2000 in his savings accounts. If the account earns 1.5% interest each year, which equation could he use to determine the total amount of money, y , he will have after x months?
y=2000(1.5)x
y=2000(1.015)x
y=2000(1.15)x
y=2000(99.985)x
A certain rectangle has a perimeter of at least 50. Given l represents the length of the rectangle and w represents the width, select the inequality which represents this situation.
2l+2w<50
2l+2w≤50
2l+2w≥50
l+w≥50
Muhammad went to the Hamburger Shack twice last week. On the first trip he bought 3 hamburgers and 4 orders of french fries for $7.10. On the second trip he bought only 2 hamburgers and an order of french fries for $3.40. Which system of equations best represents this situation if h represents the cost of each hamburger and f the cost of each order of french fries.
3h+4f=7.10 2h+f=3.40
h+f=10 5h+5f=10.50
3h+4f=3.40 2h+f=7.10
3h+f=7.10 2h+4f=3.40
After a rainstorm, there are 2 m of water covering a road. The water decreases at a rate of 0.25m/h. Express the amount of water, w , as a linear function of time, t , in hours after the end of the rainstorm.
w(t)=0.25t+2
w(t)=−0.25t+2
w(t)=0.25t−2
w(t)=−0.25t−2
A rectangle's length is 6 units longer than twice its width. If the width of the rectangle is 2x+3 , what is the perimeter P in terms of x ?
P=8x+12
P=4x−15
P=12x+30
P=12x−8
The current population of Middleton is 800 people. If the population is decreasing at a rate of 1.5% each year, which equation could be used to determine the town's population y after x years?
y=800(1.03)x
y=800(0.03)x
y=800(1.97)x
y=800(0.97)x
A company manufactures two types of shoes, a dress shoe and a tennis shoe. The company decides that to make a profit they must manufacture at least 150 pairs of shoes. The dress shoes cost $85 a pair and the tennis shoes cost $50. If d represents the number of dress shoes produced and t represents the number of cheap shoes produced, which inequality represents this situation?
d+t≤150
d+t≥150
d+t<150
d+t>150
