Unit 1 - Solving
Solve the following inequality
-7(x+4)+25<5(3-x)
x>-9
Determine the range of the Image
y <=3
(-inf, 3]
Find the x and y intercepts for the following equation:
4x - 7y = 16
x int: x = 4
y int: y = -16/7
Solve the system by graphing:
x + 2y = -1
y = 2x - 3
( 1, -1)
The point (6, -2) undergoes the transformation
g(x)= 3 f( x - 2). What are the coordinates of the new point?
(8, -6)
Solve for b:
L = (a-b)/4
b = -4L + a
Determine the positive interval(s) for image 2.
(-2, 0 ) U (2, inf)
Graph the inequality:
3x - 2y < 12
Dashed line.
Shaded above.
Y int of -6 and slope of 3/ 2
Solve by substitution:
3x - 2y = -17
x = 3y - 15
(-3, 4)
Free points for the group who chose this!
WOO!
Solve the proportion:
-16/x-3 = -8/x
x = -3
if f(x) = 3x2 - 4x + 3, find f(2)
f(2) = 1
Determine the slope between the two points:
(-2, 7) and (-6,17)
m = -5/2
Solve by elimination:
5x + 4y = -12
-2x - 3y = 16
( 4, -8 )
If f(1) = 2 and f(3) = -2, then what key features must occur on the interval 1 < x < 3?
A zero (x intercept)
Solve the absolute value equation.
-4 |2u+4| = -32
u = 2, -6
Daily Double!
On the back of your white boards, graph the function f(x)=(x-2)2 -4
Use the table
x y
-2 4
-1 1
0 0
1 1
2 4
U shaped graph with vertex at (2, -4)
The temperature of Hanks engine t minutes after he turned off his car can be modeled by the linear equation H(t)= - 2.5t + 105. Determine the y intercept and write a sentence for what it means in the context of the problem.
At the time Hank turns off his car, his engine's temperature is 105 degrees.
The sum of two numbers is 36. The second number is 9 less than twice the first number. Find the two numbers
15 and 21
A function goes from increasing to decreasing at the point (3, -4). That means (3, -4) is a _______.
relative maximum
The length of a rectangle is four times its width. If the perimeter is 50 meters, find the length and width.
l = 20 m
w = 5 m
Determine the intervals in which the graph in image 3 is increasing and decreasing.
I - (-inf, 2) U (4, inf)
D - (2, 4)
Brian is burning a candle. After 4 hours, the candle is 12 inches tall. After 6 hours, the candle is 9 inches tall. Find an equation in slope intercept form and then solve to determine when the candle will be 2 inches tall.
(let y = candle height and let x = # hours burned)
y = -3/2x+18
After 32/3 hours (~10.67 hours)
The key club is purchasing prizes to give away. Tshirts cost $15 and hats cost $8. The Key Club wants to buy at least 10 prizes, but they want to spend less than $120. Graph the system of inequalities and find one possible solution in the context of the problem.
graph to check answers
What is Mrs. Joliet's favorite color?
Blue or purple