Rationals
Write in Radical form
2y 2/3
2 3√ y2
If sin Θ = 4 / 5, what is the tan Θ
tan Θ = 4/3
You roll one number cube. What is P( 3 or 2)?
2/6 = 1/3
Find the center and radius of ( x-2)2 + (y+3)2 = 4
Center ( 2,-3), r =2
f(x) = -2x2 + 5. What is f(-3) ?
f(-3) = -2(-3)2 +5 ; x= -13
Simplify 163/2
Use calculator : 64
SEE Board
≈ 11.47
You roll two number cubes. P( sum > 7)
15/36 = 5/12
What is the length of major axis?
x2/25 + y2/9 = 1
√25 = 5 , 2(5) = 10
f(x) = 3x -6, g(x) = -4x2 -5x +3.
What is f(x) - g(x)
4x2 +8x -9
Solve ( x + 2) 3/4 = 8
Multiply both sides by the reciprocal of ( 4/3) * 3/4),
x+2 = 84/3, x=14
Area of triangle
< A = 50° , b= 7 , c = 10
Area = 1/2bc*sinA
≈ 26.8
In a bag you have 4 -Red, 3- Blue, and 6 -White marbles. What is P ( not white)
7/13
Write the equation of a parabola with a vertex of (0,0), and a directrix of y=2
y=-p, so p= -2, use formula y =1/4px2;
y=-1/8x2
f(x) = 6x + 9 , and g(x) = 4x +25.
Find g(f(-3))
f(-3)= 6(-3)+9 ; = -9:
g(-9) = 4(-9) + 25; = -11
Solve : √( x+ 2) - 4 = 5
(√ (x+2) )2 = 92 :
X+2 = 81, x= 79
Find arc length of a circle,
Θ = 240°, Radius = 5
Change degrees to radians, then multiply by the radius: s = Θ(r) , ≈ 21
12 Students are running for office ( President and VP) .How many ways can they be arranged?
12P2 = 132
What are the dimensions of the oval
(x-2)2 + (y-3)2 = 1
36 144
a2= 36, b2= 144: a=6 and b=12, so
2a x 2b = 12 x 24
f(x) = 2x2 -4x +3 , and g(x) = -8x + 6,
What is (g ° f) ( 4)
f(4) = 2(4)2 - 4(4) + 3 ; = 19
g(19) = -8(19) +6 ; = -146
Solve
√(x+2) = x-4
(√(x+2))2 = (x-4)2 : x+2 = x2 -8x+16
x2-9x+14 = 0 ; (x-7)(x-2)=0: x=7 or x=2
Only x=7,
Use Law of Sines
See Board
b = 18.76
How many ways can you select 4 of 13 different colored balloons
13C4 = 715
Identify C for x2/36 - y2/4 = 1
a= 6, b=2: a2 + b2 = c2 ;
36 +4 = c2 ; 40 =c2
c = ± 2 √10
f(x) = 3x -7 , g(x)= -2x2 +4 , h(x) = 2x3 -9x -13,
What is h[ g (f(2) ) ] ?
f(2) = 3(2)-7; = -1
g(-1)= -2(-1)2 +4 ; = 2
h(-2) = 2(2)3 -9(2)-13; = -15