Area and Surface Area
Dave has an aquarium in the shape of a rectangular prism . Rounded to the nearest hundredth, the aquarium can hold 7.48 gallons of water for each cubic foot . The aquarium measures 4 feet by 1.5 feet by 1.75 feet . Which amount is closest to the number of gallons of water Dave’s aquarium can hold?
78.54 gallons
A chef made a vegetable dish . She used 63 ounces of lima beans and 18 ounces of corn in the dish . What is the ratio of lima beans to corn in the vegetable dish? (simplify)
7:2
All of the coins in Mr . Mateo’s coin collection are either gold or silver . The ratio of the number of gold coins to the number of silver coins in his coin collection is 3:2 . What percent of Mr . Mateo’s collection is silver coins?
40%
A data set has a median of 25 and an interquartile range of 6 . A box-and-whisker plot is created to represent the data set . Which box-and-whisker plot could represent the data set?
D
Write an equation that shows the value of x raised to the 4th power when x = 3?
34 = 3 x 3 x 3 x 3 = 81
What is the area, in square feet, of the figure? (image3)
44 square feet
Mike makes lemonade to sell at the fair . He can sell 64 glasses of lemonade from the 3 full jugs he makes . Each jug is the same size, and each glass contains the same amount of lemonade . Which fraction represents the number of glasses of lemonade Mike sells from each jug?
64/3
Mike buys 4 packs of baseball cards for a total of $8 . Each pack contains 10 baseball cards . How much does Mike pay for each baseball card?
$0.20
The line plot below shows the number of letters in each student’s name for the 24 students in a classroom, is the data skewed left, symmetrical, or clustered around 3 to 6?
clustered around 3 to 6
x2 + 0.5x What is the value of the expression when x is 3?
10.5
What is the area, in square units, of triangle ABC?
14 square feet
Elliot plants lettuce and onions in his garden . He always plants the same ratio of lettuce plants to onion plants, as shown in the table provided. Based on the information in the table, how many onion plants would Elliot plant for 1 lettuce plant?
3
Mr . Li’s yard is in the shape of a square . Each side has a length of 40 feet . Mr . Li uses 20% of the area of the yard for a garden . What is the area, in square feet, of the garden in Mr . Li’s yard?
320 square feet
Mr. Kusick unpacks full boxes of textbooks to get ready for the school year. Each full box contains the same number of textbooks. Explain which value is the dependent variable and why.
The number of textbooks is the dependent variable because it is determined by the number of boxes Mr. Kusick unpacks
y – 2 .5 = 21 .5
What value of y from the set {8 .6, 19, 23 .5, 24} makes the equation true?
24
Carter is making a paper lampshade . To make the shade, he first draws the net shown below on a piece of paper. He cuts out the net and folds it into a three-dimensional figure . What is the shape of Carter’s finished lampshade?
triangular prism
In a party, 10 soft drinks are required for every 12 guests. If there are 252 guests, how many soft drinks is required?
A gray whale swims 161 kilometers in 24 hours . The equation below can be used to find the rate ( r ), in kilometers per hour (kph), at which the gray whale swims. r × 24 = 161
Rounded to the nearest tenth, what is the rate at which the gray whale swims?
6.7 kph
Which line plot shows a data distribution that has the same range and interquartile range?
D
Peter measured the outdoor temperature five times on Thursday. The temperature increased throughout the day until 6 p.m. Peter’s measurements, in degrees Fahrenheit (°F), are shown in the table given.
Write a pair of inequalities that represents all the possible temperatures (t), in degrees Fahrenheit (°F), at 4 p.m.?
t > 67 .5 and t < 71 .3
What is the area of the figure?
205 sq ft
The ratio of boys to girls in a class is 2:3. If there are 18 boys in the class, how many girls are in that class?
27
There are 48 employees in a company. On a certain day, 36 were present. What percent showed up for work?
75%
A band has an album with 9 songs on it . The lengths of the songs, in seconds, are; 181, 134, 155, 201, 265, 94, 326, 298, 326. What is the median song length, in seconds, of the 9 songs on the band’s album?
201
Write an expression equivalent to 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7?
23 × 34 × 72