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Rational Numbers
Ratios and Proportions
Expressions
Random
100

True or False: The product of two even numbers will always be even

True

100

Tristan operates a juice stand.  On Monday he used 4 bags of oranges.  On Tuesday he used 1/10 as many oranges as on Monday.  How many bags of oranges did Tristan use on Tuesday? 

(express your answer as a simplified fraction) 

2/5 of a bag

100

What two qualities does a graph of a proportional relationship contain?

(you must name both)

The graph must be a straight line and go through the origin.  

100

Lara buys membership for Netflix for an initial fee of $40, plus $12 per month.  Write an expression that can be used to find the total cost of Netflix for a certain amount of months.   *

40 + 12m

100

Express in proper scientific notation: 345000  

3.45 x 10^5

200

A right triangle has one interior angle that measures 46 degrees.  What must be the measure of the other angle?    

44 degrees

200

Dane and his family drove 357.9 miles in one day.  If their trip is a total of 524 and 3/4 miles, how much further do they need to drive?

(express your answer as a simplified mixed number)

166 and 17/20 miles

200

Which is the better buy?  An 8 ounce bottle of sunscreen for $5.76, or a 12 ounce bottle for $8.88?

The 8 ounce bottle ($0.72 vs $0.74)

200

Name the organelle within eukaryotic cells that is responsible for producing energy, in the form of ATP

The mitochondria

200

Find the cube root of 210 to the nearest integer.  

6

300

Who was the fourth president of the United States?

James Madison

300

Carter has 4 and 4/5 cups of powdered sugar.  He sprinkles 1/2 of the sugar onto a plate of brownies.  How much sugar does he sprinkle onto the brownies?  (express as a simplified mixed number)

2 and 2/5 cups

300

A boat traveled 150 feet in 9.7 seconds.  How far would it travel in 1 minute?

(round to the nearest tenth)

927.8 feet or 930 feet

300

Evaluate for a = 4 and b = -7:   

3a - b + a2

35

300

8p(44p)(12p) + 999.999x(9x)       *

4224p^3 + 8999.991x^2

400

Austin must pick a president, vice president, and treasurer out of a group of 12 people.  How many different ways can he do this? 

1320 different ways

400

A 3-foot-long shelf is installed between two walls that are 32 and 5/8 inches apart.  How much of the shelf must be cut off so that it fits between the walls? (express as a simplified mixed number)

3 and 3/8 inches

400

A bell tower casts a 28.9 foot shadow at the same time a nearby tourist casts a 1.2 foot shadow.  If the tourist is 6 feet tall, how tall is the tower?

(round to the nearest tenth)

144.5 feet

400

Simplify the following expression:

3x(4x + 12) 

12x2 + 36x

400

Simplify the following expression and express using only positive exponents:  (a^4b^6)/(a^2b^8)    

(a^2/b^2)

500

Bill has 13 cards numbered 1 through 13.  If selected at random, without replacement, what is the probability that he selects two cards in a row with even numbers?  (express as a simplified fraction)

5 out of 26

500

A simple sugar with the molecular formula C₆H₁₂O₆, this sugar is a monosaccharide, mainly made by plants during photosynthesis from water and carbon dioxide, using energy from sunlight.

Glucose

500

Mark's movie collection contains 48 DVDs, 28 of which are action movies.  Bill's collection contains 70 DVDs, 42 of which are action movies.  If Mark wants the amount of action movies in his collection to be proportional to the action movies in Bill's collection, how many action movies does he need to buy?  

2 action movies

500

Simplify the following expression:

4x2 + 7x - 14x + 6x2

10x2 - 7x

500

The speed of light is about 1.9 x 10^5 miles per second.  How many seconds would it take light to travel 500 miles? (round to the nearest thousandth)

0.003 seconds

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