Unit 1 - Review / Coordinate Algebra /

Relationships between Quantities

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  1. Trey is mowing the lawn when he realizes the lawn mower is out of gas. He runs to the gas station to fill his gas can up with gas. He buys 1.8 gallons of gas at $3.897 each. What is the total price he paid for the gas?
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  1. Circle the units that work best to measure the following:
a)Your fingernails.
Millimeters meters
b)The distance to the moon.
Kilometers meters
  1. Use dimensional analysis to change 60 miles per hourto meters per second.
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  1. Jonah drove his car from Canada to Montana on vacation. While in Montana, he needed to buy gasoline and noticed that it was sold by the gallon rather than by the liter. Use the conversion factor 1 gallon = 3.79 liters to determine how many gallons it will take to fill his 47.32-liter gas tank.

  1. How many terms are there in the expression
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  1. What are the coefficients of the expression #5?

  1. Write an expression that describes pair of jeans that costs C dollars plus6% sales tax.
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  1. The sum of 4 consecutive even integers is less than 192. What are the largest 4 integers that would work?

  1. In the equation y = -13.1x - 4, what is the coefficient?
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  1. In the equation y = .5 (3)xwhat is the base? Does it represent and exponential growth or decay?

  1. Tara and two of her friends had dinner at a Spanish tapas restaurant that charged $6 per tapa, or appetizer. The three of them shared several tapas and the total bill included taxes of $4.32. Write an equation that describes C, the total cost of dinner.
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  1. The equation P = 5x + 75relates the price of a birthday party at Dazzles skating rink wherexrepresents the number of kids attending the party. If you must pay $75 to reserve the skating rink, what could the 5represent?

  1. A population of rabbits doubles every 4 months? If the population starts out with 8 rabbits, how many rabbits will there be in 2 years?
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  1. Bethany deposits $10,000 in a savings account. The account pays 8% annual interest. Assume that she makes no more deposits and makes no withdrawals from the account. What is his new balance after 5 years?

  1. In 1985, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 75% per year after 1985. How many cell phone subscribers were in Centerville in 1994?
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  1. A car depreciates (loses its value) at a rate of 30% per year. How much will a $20,000 car be worth in 5 years?

  1. A tea pitcher at a banquet holds about 12 cups of tea. When the pitcher has 1 glass or less of tea left, the waiter dumps the tea out and pours in a pitcher full. Each tea glass at the banquet holds 8 ounces of tea. Assuming each person fills his or her glass;write an inequality that represents the number of people who can fill their glass before the pitcher needs to be refilled.
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  1. The formula for calculating the surface area of a cone is , where represents lateral area. Solve the formula for.

  1. The sum of 3 consecutive integers can be no more than 123. What are the 3 integers?
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  1. The formula V = 2πr2h is used to find the volume of a cylinder. Solve this formula for r2.

  1. The sum of 4 consecutive odd integers can be no more than 87. What are the 4 integers?
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  1. The formula V = 2πr2h is used to find the volume of a cylinder. Solve this formula for h.

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