Systems of Equations
How many solutions does this system have?
y=7-4x
y=-2(2x+4)
No Solutions
(-5x6y2)2-12x12y4
13x12y4
Is the following data skewed left, skewed right, or symmetric? 2, 5, 8, 10, 11, 12, 13, 13, 14, 14
Skewed Left
Numerical or Categorical Data: How many pets do you own?
Numerical Data
Two angles that are adjacent and supplementary
Linear Pair
What is the x-coordinate of the solution to the system:
2x+y=13
y=2x-3
x=4
Solve for x by rewriting the both sides of the equation to have the same base. 9x-5=27
x=13/2
Find the mean of the data set. 2, 5, 8, 10, 11, 12, 13, 13, 14, 14
10.2
Numerical or Categorical Data: What is your favorite color?
Categorical Data
What is the midpoint of the points (4,4) and (8,10)?
(6,7)
Which ordered pair is a solution to the inequality y>2+9x?
(4,38) (8,70) (5,45) (7,67)
(7,67)
Find the y-intercept of the function. f(x)=5(2)x
f(0)=5
Find the mode of the data set. 2, 5, 8, 10, 11, 12, 13, 13, 14, 14
13 and 14
The results of a survey of students in the lunch line is written on the board. How many girls chose an orange? Is this a joint or marginal frequency?
14, Joint Frequency
B is the midpoint of segment AC. AB=3x+2 and AC=22. Find the length of segment AB.
AB=11
Solve the system using the substitution method.
2x+2y=20
y=-3x+18
(4,6)
Describe the transformations of the function. f(x)=2(x-2)+3
Right 2, Up 3
Find the Five Number Summary for the data set. 2, 5, 8, 10, 11, 12, 13, 13, 14, 14
Minimum=2, Q1=8, Median=11.5, Q3=13, Maximum=14
The results of a survey of students in the lunch line is written on the board. Calculate the joint relative frequency of boys who selected an apple. (Percentage)
27.2%
∠1 and ∠2 are vertical angles. If m∠1=10x-9 and m∠2=6x+11, find m∠1.
m∠1=41°
At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. Write a system of equations to determine t, the cost of a taco, and m, the cost of a small glass of milk.
t+m=2.15
2t+3m=5.15
The population of insects in a certain area increases each year by 12.5%. The initial population recorded was 350 insects. Write an exponential function that represents this scenario.
f(x)=350(1.125)x
Does the data set contain outliers? 2, 5, 8, 10, 11, 12, 13, 13, 14, 14
No Outliers: Lower Fence=0.5, Upper Fence=20.5
The results of a survey of students in the lunch line is written on the board. Calculate the conditional relative frequency that a student chose a banana, given that they were a boy. (Percentage)
43.5%
Given points X(1,2) and Y(4,-2), find the length of XY. (Calculate the distance)
5