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Question: Patterns, Functions, and Algebra
New Page entitled Question 1

Which expression is equivalent to (x^3)(x^2)?


New Page entitled Question 2

Which expression is equivalent to the ratio shown below for the volume of a sphere to its surface area? r^5 means r raised to the 5th power


New Page entitled Question 3

A field has a side length represented by s. It will be made into a field that is 3 times longer and 2 times wider than it is. What will the area of the new field be? Area = length × width s^2 means s raised to the 2nd power. s^4 means s raised to the 4th power.


New Page entitled Question 4

Leigh needs to find the area of his patio. He drew a picture of the dimensions of his patio above. Using the following formula, what is the area of his patio? Area = 1/2(base1 + base2) x height


New Page entitled Question 5

The distance a spring stretches varies directly with the force applied to it. If a 7-pound weight stretches a spring a distance of 24.5 inches, how far will the spring stretch if a 12-pound weight is applied?


New Page entitled Question 6

Marisa’s car gets an average of 28 miles per gallon of gas. She plans to drive 200 miles today and 220 miles tomorrow.


Question: How many gallons of gas should she expect to use in all?
New Page entitled Question 7

How many millimeters are in 50 centimeters?


New Page entitled Question 8

Mariah bought a used car. It originally sold for $26,450. She bought it used for 30% less than the original price.


Question: How much did she pay for the used car?
New Page entitled Question 9

The original price of a television was $1,999. On sale it is $1,599.


Question: What percent discount is the television set on sale?
New Page entitled Question 10

Ratios are used to determine relative humidity. 1 cubic meter of air at 30°C contains 6.5 grams of water out of a possible 26 grams of water.


Question: What percent of the grams of water possible does this air hold?
New Page entitled Question 11

What is 6x^2 + 5y – 2 when x = 3 and y = 2?


New Page entitled Question 12

The formula for measuring the temperature-humidity index, THI, is the following: THI = 0.4(t + s) + 15, where t is the air temperature and s is the temperature measured with a thermometer that has a wet bulb. A weather station uses this formula to report the degree of discomfort people may feel because of the amount of humidity in the air.


Question: What is the THI if the air temperature is 82°F and the wet-bulb temperature is 68°F?
New Page entitled Question 13

Which of the following equations is true?


New Page entitled Question 14

What are the next two numbers in the following arithmetic progression? 0.5 , 4 , 7.5 , 11 , 14.5 …


New Page entitled Question 15

Ms. King recorded the number of cells she observed at 5 minute intervals.


Question: Based on the information in the chart above, how many cells will there be at the 30 minute interval?
New Page entitled Question 16

What is the equation of the line that has a slope of 4 and passes through the point (3, -10)?


New Page entitled Question 17

The data in the table to the right shows the cost of renting a bicycle by the hour including the deposit.


Question: If the hours, h, were graphed on the horizontal axis and the cost, c, were graphed on the vertical axis, what would be the equation of a line that fits the data?