Linear Equations
Write the equation for the line that has a slope of -4 and a y-intercept of 7.
Y= -4x+7
Write the sentence as an equality: A number plus 8 is greater than 11.
n+8>11
How do you find the mean?
The mena is the average, to find this you add up all your numbers and then divide that sum by the number of numbers you added.
Explain how you would determine if a graph represents a function or not.
Use the verticale line test. This test helps make sure hat x-values have one and only y-value. If a vertical line interests a graph more than once anywhere, it fails to be a function.
If the point (-1,0) is on the line whose equation is y= 2x+b, what is the value of b?
Y= 2x+2
Write the sentence as an inequality: A number minus 3 is at least -5.
n-3>_-5
How do you find the median?
The median is the middle number of your data set when in order from greatest to least.
Describe what type of transformation occurs to the “mother function“.
g(x)=1/2|x|
What are the steps for writing an equation when given the slope and the point
Use y= mx+b and substitute any of the known variables. Once you know the values of m and b, you use them to write the equation in y=mx+b form.
write the sentence as an inequality: The difference of a number and 9 is fewer than 4.
n-9<4
How do you find the mode?
The mode is the number that occurred the most often.
Describe what type of transformation occurs to the “mother function“.
f(x)=5x(squared)
Narrows in by 5 times.
Write the equation of the line that has a slope of 2 and passes through the the point?
Y= 2x+4
Write the sentence as an inequality: Six is less than or equal to the sum of a number and fifteen.
6<_ n+15
Find the mean, median, mode and range for the following data: 5,5,10,10,10,15,15,15,20,25.
Mean: 130/10=13
Mode: 10 and 15
Median: 10+15/2=12.5
Range: 25-5=20
Describe what type of transformation occurs to the “mother function“
g(x)=|x|-5
Moves down 5 units
Write the standard slope-intercept equation of a line. What does each variable stand for?
Y and X: coordinates of point on the line, M: slope, B: y-intercept
A blacksmith wants to earn at least $25 an hour making and selling tools. He pays $125 for materials. Write and solve an inequality that represents how many hours the blacksmith can spend creating the tools.
25h+125>_500
-125=-125
________________
25h/25 >_375/25
These are the ages of the actors in a play.
19,29,63,18,40,24,40
If a 27-year old actor replaces the 24-year old actor, which measure will change?
18,19,24,29,40,40,63. The mean will change because the total sum will increase since the age is older.
Describe what type of transformation occurs to the “mother function“
g(x)=|x+5|
Moves left five units