Solving Systems
Exponential Equations
Stats
Transformations
Geometry
100
What are the two methods used to solve systems of linear equations?
*That we learned in this class.
Graphing, Elimination, substitution
100
What is the growth/decay factor?
Is the function growing of decaying?
b = ¾
Decaying
Bonus: a = 4, the initial value of where the graphs starts
100
What is the range of the data set?
102, 89, 147, 86, 114,103, 88
Range = 147-86
Range = 61
100
What are the three types of transformations?
Rotations, reflections, translations
100
Classify the type of angle.
Obtuse angle
Bonus:
Acute - less than 90
Obtuse - greater than 90
Right - equals 90
200
Which method would be best to use to solve the following system of equation?
3x - 9y = 12
5x + 9y = 20
Elimination
The y’s would cancel each other out and able to solve for x first then y.
200
Find the following based on the exponential graph:
Growth or Decay
Y - intercept:
Growth
y intercept: (0,4)
200
Find the mean and mode of the data set:
4, 5, 5, 5, 8, 9, 10, 12, 13, 15, 16, 42
Mean: 4+5+5+5+8+9+10+12+13+15+16+42+= 144/12 = 12
Mode: 5
200
Name the type of transformation shift
90 degrees rotation
200
Find the missing angles
X = 17
Bonus: Complementary Angles
300
Which method would be best to use to solve the following system of equation?
Y = 2x + 5
Y = - ½ x + 5
Graphing or substitution
Graph each equation and look for the point of intersection. Or set each equation equal to one another
300
Determine what y will equal if x = 23. Round to two decimal places.
Determine if the function is growing or decaying.
Y = 758.93
Growth
300
When creating a box and whisker plot which 5 numbers do we plot?
Median (Q2) ,Q1, Q3, min, and max.
300
Name the type of transformation shift
Reflection over the x-axis
300
Find the missing angle
X = 82
Bonus: Supplementary Angles
400
How many solutions can there be when solving systems of equations?
3 types:
no solution
One solution
Infinitely many solutions
400
Suppose your parents deposit $1500 into a savings account with a growth rate of 1.065.
Write an equation and find out how much will be in the account after 8 year.
Exponential
F(x) = 1500(1.065)^x
f(8) = $2482.49
400
Are there any outlier in the data set?Why or why not?
4, 5, 5, 5, 8, 9, 10, 12, 13, 15, 16, 42
42 would be an outlier because there would be a huge gap in data from the next largest point to 42.
400
Name the type of transformation shift
Down 5
Right 4
400
Find the missing angle
X = 50
500
Solve the following equation by using elimination. Solve for x.
3x - 9y = 12
5x + 9y = 20
x = 4
500
What is the difference between exponential equations and linear equations?
Linear equation: adding the same value each time
Exponential equation: Multiplying the same value each time
500
Find the median, Q1,Q2, Q3, and IQR for the following data set
4, 5, 5, 5, 8, 9, 10, 12, 13, 15, 16, 42
Q1 = 5
Q2 = 9.5
Q3= 15
IQR = 10
500
How many corrdinates do you travel for:
90 degree rotation
180 degree rotation
270 degree rotation
90 - 1
180 - 2
270 - 3
500
Find the missing angle
X = 60
Bonus: Alternate Interior Angles