Quiz about Writing Equations from Verbal Descriptions

Question 1

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?

Accepted Answer

$$x+y=365$$ $$3x+2y=925$$

Answer

$$x-y=365$$

$$3x+2y=925$$

Answer

$$x-y=365$$

$$x+y=925$$

Answer

$$3x+2y=365$$

$$x+y=925$$

Question 2

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?

Accepted Answer

$$y=2000\left(1.015\right)^x$$

Answer

$$y=2000\left(1.5\right)^x$$

Answer

$$y=2000\left(1.15\right)^x$$

Answer

$$y=2000\left(99.985\right)^x$$

Question 3

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.

Accepted Answer

$$2l+2w\ge50$$

Answer

$$2l+2w<50$$

Answer

$$2l+2w\le50$$

Answer

$$l+w\ge50$$

Question 4

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.

Accepted Answer

$$3h+4f=7.10$$ $$2h+f=3.40$$

Answer

$$h+f=10$$ $$5h+5f=10.50$$

Answer

$$3h+4f=3.40$$ $$2h+f=7.10$$

Answer

$$3h+f=7.10$$ $$2h+4f=3.40$$

Question 5

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.

Accepted Answer

$$w\left(t\right)=-0.25t+2$$

Answer

$$w\left(t\right)=0.25t+2$$

Answer

$$w\left(t\right)=0.25t-2$$

Answer

$$w\left(t\right)=-0.25t-2$$

Question 6

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 $$x$$ ?

Accepted Answer

$$P=12x+30$$

Answer

$$P=8x+12$$

Answer

$$P=4x-15$$

Answer

$$P=12x-8$$

Question 7

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?

Accepted Answer

$$y=800\left(0.97\right)^x$$

Answer

$$y=800\left(1.03\right)^x$$

Answer

$$y=800\left(0.03\right)^x$$

Answer

$$y=800\left(1.97\right)^x$$

Question 8

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?

Accepted Answer

$$d+t\ge150$$

Answer

$$d+t\le150$$

Answer

$$d+t<150$$

Answer

$$d+t>150$$

Writing Equations from Verbal Descriptions

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