G7
_____ angles are greater than 180 degrees and less than 360 degrees.
_____ angles are greater than 90 degrees and less than 180 degrees.
_____ angles are equal to 90 degrees.
reflex angles are greater than 180 degrees and less than 360 degrees.
obtuse angles are greater than 90 degrees and less than 180 degrees.
right angles are equal to 90 degrees.
DAILY DOUBLE (200 pts)
Solve each logarithmic equation:
log1/3(9) = x
x =
log(43) = nlog(8)
n =
log1/3(9) = -2
log(43) = 2log(8)
(x - h)2 + (y - k)2 = r2 is the equation of a ______ in standard form, where (h, k) represents the ______ and r represents the ______.
(x - h)2 + (y - k)2 = r2 is the equation of a circle in standard form, where (h, k) represents the circle and r represents the radius.
Factor: x2 - 4x - 21
Expand: (x - 2)(x + 2)
Factor: x2 - 4x - 21 --> (x - 7)(x + 3)
Expand: (x - 2)(x + 2) --> x2 - 4
a(x - h)2 + k is the ______ form of a quadratic equation.
a(x - h)2 + k is the vertex form of a quadratic equation.
______ angles are less than 90 degrees.
______ angles are two angles whose sum is equal to 90 degrees.
______ angles are two angles whose sum is equal to 180 degrees.
acute angles are less than 90 degrees.
complementary angles are two angles whose sum is equal to 90 degrees.
supplementary angles are two angles whose sum is equal to 180 degrees.
sin(x) = /
cos(x) = /
tan(x) = /
csc(x) = /
sec(x) = /
cot(x) = /
sin(x) = opposite / hypotenuse
cos(x) = adjacent / hypotenuse
tan(x) = opposite / adjacent
csc(x) = hypotenuse / opposite
sec(x) = hypotenuse / adjacent
cot(x) = adjacent / hypotenuse
Ax2 + Bx + C is the general form of a ________ equation.
To solve this, we can use the quadratic formula, which is ____(write the formula)_____
Ax2 + Bx + C is the general form of a quadratic equation.
To solve this, we can use the quadratic formula, which is __x = [-b +/- sqrt(b^2 - 4ac)] / 2a
Write with no negative exponents:
(xy3)-2 =
(xy3)-2 = 1/(x2y6)
Find the vertex: x2 - 4x + 12
Find the vertex: x2 - 4x + 12
(2, 8)
Daily Double: 600 points
List and define each type of triangle we've talked about.
scalene triangle - three different sides
isosceles triangle - exactly two equal sides
equilateral triangle - three equal sides
*right triangle - has a right angle (can be isosceles or scalene)
A sinusoidal function can be written in two forms: (write them)
Amplitude =
Period =
Midline =
Phase Shift =
A sinusoidal function can be written in two forms: (write them)
Asin(Bx - C) + D
Acos(Bx - C) + D
Amplitude = |A|
Period = 2Pi/|B|
Midline = D
Phase Shift = -C/B
A linear equation can written in _________ form, which is y=mx+b, or _________ form, which is ___________.
m represents the ______ and b represents the ______.
A linear equation can written in slope-intercept form, which is y=mx+b, or point-slope form, which is y-y1=m(x-x1).
m represents the slope and b represents the y-intercept.
Write the equation of a line with a slope of 6 and point at (2, 9) in slope-intercept form.
Write the equation of a line with a slope of 6 and point at (2, 9) in slope-intercept form.
y = 6x - 3
Two lines that never cross are parallel lines; two lines that form a 90 degree angle are perpendicular lines
Write the equation of a line going through (2, 8) and (5, 20) in slope-intercept form.
Write the equation of a line going through (2, 8) and (5, 20) in slope-intercept form.
y = 4x
Find the amplitude, period, phase shift, midline, minimum, and maximum values:
y = -4.5cos(πx - 2π) + 2
y = -4.5cos(πx - 2π) + 2
min: -2.5
max: 6.5
amplitude: 4.5
period: 2
phase shift: 2
midline: y=2
The _______ of 15 and 3 is 5.
The _______ of 15 and 3 is 18.
The _______ of 15 and 3 is 12.
The _______ of 15 and 3 is 45.
The quotient of 15 and 3 is 5.
The sum of 15 and 3 is 18.
The difference of 15 and 3 is 12.
The product of 15 and 3 is 45.
Write with no negative exponents:
(3x-2y-1)-1 =
(3x-2y-1)-1 = (x2y)/3
1 + 1 =
show your work
1 + 1 = 2
must show at least 10 lines of work
What is the domain and range of tan(x)?
What is the domain and range of tan(x)?
domain: all real numbers such that x is not equal to pi/2 + npi.
range: all real numbers