Evaluate the following function machine;
f(2)=-5
Write the equation of the line that has a slope of 0 and goes through the point (3,5)
y=5
This exponent rule (law) states that when multiplying variables with exponents, add the exponents;
a^2*a^3=a^(2+3)=a^5
What is the Product Rule
What is the Product Law.
What does this mean in math?
Sigma=Summation
add it all up.
The Distributive Property.
Evaluate the following function machine.
f(-2)=No solution.
Find the equation for the line with a slope of 0.5 and the point (28,0)
y=0.5x-14
Multiply the following expression;
(3x-9)^2
9x^2-54x+81
Describe the correlation of the following scatter plot
Strong, negative Correlation
This property states that when adding or multiplying the order does not matter.
2+3=3+2
2*4*6=4*2*6
The Commutative Property.
Examine the following graph. Is it a function? What is the domain and range?
It is not a function, because there are inputs with multiple outputs.
D:
R:
Write the equation of the line represented by the following table.
y=3x+10
Multiply the following expressions.
-2x^2(15x^2-3y)
-30x^4+6x^2y
Describe the correlation of the following scatterplot.
Weak, Positive correlation,
This property states that a number or variables is equal to itself
7=7
a=a
The Reflexive Property
Is the following graph a function?
What is the domain and range?
Yes, it is a function because every input only has one output.
D:
R:
Sally ordered her groceries online. She accidentally ordered 120 pounds of flour (instead of 10 pounds) and only uses five pounds of flour every two months.
write an equation for the following equation. how long will it take Sally to use up all the flour?
y=-5/2x+120
it will take Sally 48 months (4 years) to use up all the flour
Solve the following equation for x.
5x^2+43=(x-1)(5x+6)
x=49
Calculate the correlation coefficient for the following tables, Round to the nearest tenth.
Describe the correlation of the table in context.
an r-value of ___ means there is a...
R=.7
An r=value of .7 means there is a strong, positive correlation between the area of a park and the number of swings it has.
This property states... that the sum of any number and its negative is 0.
7+(-7)=0
that the product of any number and its reciprocal is 1.
3*1/3=1
The Inverse Property.
Solve the following for a and b;
Bonus: Solve the following system of equations;
2x+y=5
y=x-1
The solution for the system is the point (2,1)
Multiply the following expressions;
(x+2)(x^2+y^2-4x+1)
x^3-2x^2+2y^2+xy^2-7x+2
Use linear regression to calculate a line of best fit, round to the nearest hundredth. Use your line of best to predict the rise in blood sugar when the dosage is 100 mg. Round your prediction to the nearest tenth.
y=-.14x+26.75
Predicted value 12.8
This property states that if a=b and b=c, then a=c
The Transitive Property