Graphing
What is the independent variable in this situation: the number of hours worked and the money earned.
The number of hours worked.
Two angles that share a common vertex and a common side but do not overlap are called this.
Adjacent angles
Solve:
-12x + 8 + 5x = 36
x = -4
For the data set {10,15,20,25,30}, this is the median.
20
In a direct variation relationship, the graph of the equation always passes through this point.
(0, 0)
What is the range of the following set of ordered pairs: (1,3),(2,5),(3,7),(4,9)?
{3,5,7,9}
The measure of an angle's supplement is 125o. What is the measure of the original angle?
550
Solve:
8a - (1 + 5a) = 4(3a - 11) - 20
a = 7
For the data set {5,20,2,15,3,8,12}, what is the range?
18
Does the table represent a direct variation (yes/no). If yes find the constant of variation.
x: -2, 0, 1, 2
y: 4, 0, 2, -1
NO
This is the name for a graph with distinct, unconnected points.
A discrete graph.
If two angles are complementary and one is 20o more than the other, what is the measure of the larger angle?
Let the smaller angle be x. Then the larger angle is x+20. Since they are complementary, x+(x+20)=90, which simplifies to 2x+20=90. Solving for x gives x=35o. The larger angle is 35o+20o=550.
Solve:
3h - 2(4h - 5) = 10 - 5h
What are the five numbers needed to create a box-and-whisker plot, and what is the five-number summary for the data set: {10,5,12,8,15,20,18}?
The five numbers are: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.
First, order the data: {5,8,10,12,15,18,20}. The minimum is 5, the maximum is 20, the median is 12, Q1 is 8, and Q3 is 18.
Does the table show a direct variation (yes/no). If yes what is the constant of variation?
x: -8, -4, 0, 2
y: 12, 6, 0, -3
YES, k = -3/2
A graph shows the height of a person from birth to age 80. What is a reasonable domain and range for this continuous graph?
The domain is from 0 to 80 (age), and the range is from the person's height at birth to their maximum height.
Angle 1 and angle 2 are vertical angles. If the measure of angle 1 = (6x +11)o and the measure of angle 2 = (10x - 9)o, find the measure of angle 1.
6x +11 = 10x - 9
x = 5, so measure of angle 1 - 6(5) +11 = 41o
Solve
3|x - 4| + 1 = 19
x = {-2, 10}
Create a box-and-whisker plot from the following data: 1,3,4,6,7,8,10,12.
What is the median and the interquartile range?
IQR = 5.5
The ordered pairs show direct variation. What is the missing value?
(2, -6) and (5, y)
y = -15
Ella is selling cookies 🍪 to raise money for a school trip. She sells each cookie for $2.50.
Identify the domain and range and give at least 5 possible values.
Domain - number of cookies sold
Range - the money raise
Possible values:
Domain = {1, 2, 3, 4, 5}
Range = {2.5, 5, 7.5, 10, 12.5}
The measure of angle G is six more than twice the measure of angle H. If angle G and angle H are complementary angles, find the measure of angle H.
28o
Solve:
5n - 3 = |n+9|
n = {3}
The data represents the scores of ISKL's basketball team in their first nine games of the season. Which measure of center best represents the data and why?
{56, 72, 39, 61, 58, 70, 45, 24, 53}
Median - 24 is an outlier
The sales of a basketball game vary directly with the number of people attending. If the sales for a game are $12,000 when 800 people attend, determine how many people attend if the sales for a game are $15,000.
1000 people