Average
The average of three numbers is 15. Two of the numbers are 12 and 18. What is the third number?
15
True or false: Line plots show data over time.
False. They show frequency of data.
The coordinates of a point are (5,8). What do the signs of the numbers tell you about the location of the point?
The X and Y axis are positive. You would not need to look at a 4-quardinate graph.
The x-axis is a ______ line and the y-axis is a ______ line.
The x-axis is a horizontal line, and the y-axis is a vertical line.
Five friends had different amounts of money. Three of the friends had $4.50, $4.25, and $5.15. The last two friends each had the same amount. The average amount of money per friend was $5.50. How much did each of the last two friends have?
They each had $6.80.
A class took a math quiz, and the average score was 85. If 9 students scored a total of 765 points, what did the 10th student score?
85
True or false: Line plots ALWAYS require a key.
False. They only need a key when they are showing multiple types of data.
Are points (-3,7) and (7,-3) the same? Why or why not?
No, because they are in different quadrants and have different coordinates.
f you were to graph (5,12), (20,12), and (100,12), you would create a ______ line.
Horizontal (All points have the same y-coordinate, so the line is horizontal.)
Will's average score of five tests is 18. If he scores 24 points on his sixth test, what is his average score on all six tests?
19 is his average score.
Find the average of 9.5 in, 7.25 in, 11.9 in, 4.11 in, and 6.09 in.
7.37 in
True or false: All line plots require a title and label.
True.
A rectangle has three vertices at (2,5), (6,5), and (6,9). What are the coordinates of the fourth vertex?
(2,9)
The following points form a straight line: (2,5), (4,7), (6,9). If you were to extend the line, what would be the y-coordinate when x = 10?
13 (The pattern follows y=x+3, so when x=10, y=10+3=13
The average income of Adam, Irene, and Fiona is $560. Irene earns twice as much as Adam. Fiona earns twice as much as Irene. How much does Fiona earn?
$960
The average of five numbers is 40. If four of the numbers are 18, 27, 37, and 50, what is the fifth number?
88
True or false: Line plots have labels on both x and y axes.
False. There is only a x-axis label.
400: What is the distance between (-3,2) and (5,2)?
8 units (since the y-coordinates are the same, subtract the x-values: 5−(−3)=8
For which of the following situations would a line graph be the best choice?
a) 4th graders' favorite recess activity
b) Boston temperatures over the course of one month
c) Meadowbrook community members' favorite lunches
b) Boston temperatures over the course of one month
The average of six numbers is 6. If 3 is subtracted from four of the numbers, what is the new average?
The new average is 4
The average of five test scores is 82. One of the scores is missing, but the other four scores are 78, 85, 80, and 90. Later, the student retakes the missing test and scores 92 instead. This raises the average of all five tests. What is the new average?
85
A line plot shows the lengths (in inches) of 12 wooden planks: 4, 5, 4, 6, 5, 4, 7, 6, 5, 4, 6, 5.
What is the median plank length?
If one additional plank measuring 8 inches is added, how does this affect the mean?
Median = 5 inches
New mean = 5.31 inches (increased by 0.23 inches)
A rectangle is graphed on a coordinate plane with three of its vertices at (-2,3), (4,3), and (4,-1). What are the coordinates of the fourth vertex?
(-2,-1)
A car travels at a constant speed. At 2:00 PM, it has traveled 60 miles. At 4:00 PM, it has traveled 120 miles. If this pattern continues, how far will the car have traveled by 7:00 PM?
210 miles
On a math test, a class of 21 students scored an average of 97 points. The maximum possible score of the test is 100 points. What is the least possible score that any of the 21 students could have obtained?
Least possible points scored = 2,307 - ( 20x100) = 37
37 is the least possible score that any of the 21 students could have scored.