Real Numbers and Operations
What is the value of 18 - 2*(3 + 1)2?
-14
A car travels 180 miles on 6 gallons of gas. What is its unit rate in miles per gallon?
30 miles per gallon
Simplify x4*x7
x11
Which statistical display uses a 5-number summary (minimum, Q1, median, Q3, maximum)?
Box Plot
What type of relationship exists on a scatter plot if y decreases as x increases?
Negative correlation
Simplify the numerical radical expression sqrt{72} completely
6sqrt{2}
Solve the following proportion for x: (4/7)=(x/35)
20
Simplify y10/y7
y3
What happens to the mean of a data set if an extreme high outlier is added?
The mean increases
In a two-way frequency table, what is the term for frequencies calculated by dividing a row or column entry by the grand total?
Joint Frequency
Simplify the complex fraction:(3/4)/(5/8)
1.2 or 6/5
A scale drawing uses 1 inch to represent 15 feet. If a room is 2.5 inches wide on the drawing, what is its actual width?
37.5
Rewrite 272/3 as a radical expression and solve it
9
A data set is skewed heavily to the right. Which measure of center is preferred: the mean or the median? Why?
The median, because it is resistant to outliers
Describe the strength and direction of the relationship shown in a scatter plot where the points closely line up and go down from left to right.
Strong negative correlation
Evaluate: 5+3sqrt{50} - sqrt{18}.
5+12sqrt{2}
Estimate the total cost of 8 items priced at $19.95 each, and state whether your estimate is an overestimate or an underestimate.
$160, overestimate
Simplify (4-2x8)-2 written with only positive exponents
256/x16
Find the Interquartile Range (IQR) of this data set: 3, 7, 8, 12, 14, 18, 21.
11
Out of 100 students surveyed, 40 play sports. Of those 40 athletes, 30 pass math. 15 students are failing math. What is the joint relative frequency of students passing math and do not play sports?
55%
-3*|2 - 5|3+2*(12 - 42)2/(-8)
-85
A recipe calls for 1 1/2 cups of flour for 12 cookies. How many cups of flour are needed to make 20 cookies?
2.5 cups
Simplify (a2+b-3)2 with only positive exponents
a4/b6
Data Set A has an IQR of 4, while Data Set B has an IQR of 15. Which data set has greater variability in its middle 50%?
Data set B
A scatter plot comparing study hours (x) to exam scores (y) shows points closely clustered along a line rising from left to right, except for one point at (10 hours,20%). Describe the relationship and identify the special point
Strong Positive with an outlier