Geometry
In a right triangle, a = 15 and c = 25, find b.
b = 20
How can you tell if a graph is a function? How can you tell if a table or mapping is a function.
Graph - If it passes the vertical line test.
Table/Mapping - Each input has only one output
Simplify.
(x2y3)(x4y3)
x6y6
Find the slope of the line containing the points:
(-7, 4) and (-2, -3)
m = -7/5
Solve the system algebraically.
x - 3y = 6
-x + 4y = -7
(3, -1)
Is a triangle with sides 10, 14, and 20 a right, acute, or obtuse triangle?
Obtuse
What is the domain of the function:
{(-4, 24)(0, 0)(8, 10)(-25, 7)}
Domain {-4, 0, 8, -25}
Simplify.
(4y2)3
64y6
Find the slope of the line containing the points:
(3, -2) and (3, 2)
****BONUS POINTS****
What is the equation of the line?
m = undefined
x = 3
Solve the system.
3x - 2y = 2
8x + 2y = 22
(2, 3)
Is a triangle with sides 5, 8, and 9 a right, acute or obtuse triangle?
Acute
What is the range of the function:
{(-4, 24)(0, 0)(8, 10)(-25, 7)}
{24, 0, 10, 7}
Simpify.
-9x-4y3
-9y3/x4
Write an equation of the line in slope intercept form when m = 4 and b = -2.
y = 4x - 2
Solve the system.
y = 3x - 6
y = -2x + 14
(4, 6)
A tv measures 60 inches long and 25 inches high. What is the diagnoal length of the tv. Round your answer to the nearest in.
65 inches
Write 2x + y = 4 in function notation.
f(x) = -2x + 4
Simplify.
9m9 / 3m14
3/m5
Rewrite the equation in slope - intercept form.
6x - 3y = 9
y = 2x - 3
Solve the system.
3x - 2y = 8
-6x + 4y = -16
All points on the line
A 20 foot ladder is leaning against a building. It hits the top of the building that is 16 feet above the ground. How far away from the building is the ladder?
12 feet
Evaluate f(x) = x2 + 4x + 2 for f(-2)
f(-2) = -2
Write in scientific notation.
0.0081
8.1 x 10-3
Rewrite the equation in slope intercept form.
2x = 4y = 16
y = -1/2 x + 4
Solve the system.
2x + 3y = 8
-4x - 6y = 8
No Solution