Geometry
Quadratics
Logarithms
Factoring
Trigonometry
100
In the figure below triangle OAB has an area of 72 and triangle ODC has an area of 288. Find x and y.
x = 20 and y = 14
100
u^2−5u−14=0
u=−2 or u=7
100
Express 53 = 125 in logarithm form
Log5 125 = 3
100
Factor 4x2 + 12x + 5.
(2x + 5)(2x + 1)
100
sin(A) =
sin(A)=11/61
200
The parallelogram shown in the figure below has a perimeter of 44 cm and an area of 64 cm2. Find angle T in degrees.
34.8 degrees
200
x^2+15x=−50
x=−5 or x=-10
200
Express log10 1 = 0 in exponential form
10^0 = 1
200
Factor 18x2 - 39x + 20
(3x - 4)(6x - 5)
200
tan(A) =
tan(A)=11/60
300
Each side of the square pyramid shown below measures 10 inches. The slant height, H, of this pyramid measures 12 inches.
.
- What is the area, in square inches, of the base of the pyramid?
a. 100 inches squared
300
19x=7−6x^2
x=1/3and x=−7/2
300
Find the log of 32 to the base 4
log4 32 =5/2
300
Factor 6x2 - 19x - 7
(2x - 7)(3x + 1)
300
sin(30°)=
sin(30°)=1/2
400
Each side of the square pyramid shown below measures 10 inches. The slant height, H, of this pyramid measures 12 inches.
b. What is h, the height, in inches, of the pyramid?
b. h = √(12
400
12x^2=25x
x=0 and x=25/12
400
Find x if log5(x-7)=1
x=12
400
Factor 10x2 + x - 2
(5x - 2)(2x + 1)
400
cos(90°) =
cos(90°) = 0
500
Find the dimensions of the rectangle that has a length 3 meters more that its width and a perimeter equal in value to its area?
W = 3 and L = 6
500
6w^2−w=5
w=−5/6 and w=1
500
Find the value of x, if log10(x-10)=1
x=20
500
Factor 6x2 - 16x + 10
2(x - 1)(3x - 5)
500
cot(A) =
cot(A)=60/11