Slope/Y-intercept/Rate of Change
What are the x and y intercepts for
y=4 +2x
0,4 =y intercept
-2,0= x intercept
Solve b/12=10/15
b=8
Which is the simplified expression -8(2m+9k-13)
-16m-72k+104
Solve the following proportion
7/4 = f-4/8
18
The sum of 5 times a number m and 12 is equal to 27.
5m+12=27
Determine the slope of the line that passes through the points (4,10) and (2,10)
0
Solve 1/5t=10 for t
50
If f(X)=-9x+8, then find f(-2)
26
14=d + (-10)
24
Write a verbal sentence for the algebraic equations 5x2+2=22
five times x squared plus 2 is 22
0
Name the transformation that changes the slope, or steepness of a graph
dilation
Suppose the graph of a function is increasing to the left of x=2 and decreasing to the right of x=2. which describes the point at x=2?
Is it the x or y intercept, relative min or relative Max
It's the relative maximum
k/3 +4 = -16
-60
Is this a function or relation
(1,2) (2,1) (3,3) (4,2) (1,5)
It's a relation
Mr. Hernandez is draining his pool to have it cleaned. At 8:00am it had 2000 gallons of water and at 11:00am it had 500 gallons left to drain. What is the rate of change in the amount of water in the pool?
-500 gallons/ hr
Name the transformation the changes the Y-intercept and moves it up or down or left and right.
Translation
Describe the dilation of g(x)=1/2(x) as it relates to the graph of the parent function, f(x)=x
G(x) is a vertical compression of the parent function by a factor of 1/2
Solve the equation tell me the solution |3x-6|=12
-2, 6
Which expression could be used to evaluate 418(27)
A. (420 -2)(27)
B. (418)(20+7)
C. (418)(30-3)
A teacher buys 100 pencils to keep in her classroom at the beginning of the school year. She allows students to borrow pencils, but they aren't always returned. On average, she losses about 8 pencils a month. Write an equation in slope intercept form that represents the number of pencils she has left y after a number of x months.
y=-8x+100
Across which axis is the graph of H(x)= -5|x| reflected
x-axis
Describe the graph of g(x)=|x|+5 in relation to the graph of the absolute value parent function
It's translated 5 units up
A thermometer is accurate to plus or minus 2 degrees fahrenheit. Which absolute value equation can be used to find the greatest and least possible temperatures if the thermometer reading is 17 degrees fahrenheit.
|t-17|=2
The Hillsborough State Park in Thonotosassa, Florida, charges an admission fee of $4 plus a camping fee of $ 20 per night. This can be represented by the function F(x)=20x+4, where f(x) is the total cost and X is the number of nights spent camping. What is the value of F(5), which is the cost of 5 nights camping?
104