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power of a power
Scientific Notation
Pythagorean Theorem
Find the distance between the two points.
Grab Bag
100

Evaluate:

(32)2

81

100

What is the standard notation of 7.5*10-5?

0.000075

100
What is the formula of Pythagorean Theorem?
a^2 +b^2=c2
100
What is the formula of the distance between the point ?
d=/(x2-x1)^2+(y2-y1)^2
100

solve for y in the equation of y/4 = 8

y= 32

200

Evaluate:

 (23)2?

82 = 64

200

Simplify: 

(6 x 105)(2 x 10-2)

1.2 x 104

200

Is the triangle described below a right triangle?

a = 36
b = 77
c = 85

yes!

200
What is the distance between the point (-5,6) and (3,2)?
x1,y1 X2,Y2 (-3, 4) (5, 2) d=(X2-x1)^2+(Y2+Y1)^2 d=(5)-(-3)^2+(2)-(4)^2 d=(5+3)^2+(2-4)^2 d=(8)^2+(-2)^2 d=64+4 d=68 d= square root of 68 d=2/17
200

Solve for a;

|a - 3| = 8

a = 11 or a = -5

300

Simplify:

y-4
y10

y-14
300

Simplify:

6.4 x 108
3.2 x 107

5.0 x 100

or 
5

300
What is the Pythagorean Theorem of A=6 B=10 ?
A^2 + B^2=C^2 (6)^2+(10)^2=c^2 36+100=C^2 c^2=136 c=square root of 136 c=11.66
300
What is the distance between the point (-2,3) and(3,-9)?
X1,Y1 X2,Y2 (-2,3) (3,-9) d=(X2-x1)^2+(Y2+Y1)^2 d=(3)-(-2)^2+(-9)-(3)^2 d=(3+2))^2+(-9-3)^2 d=(5)^2+(-12)^2 d=25+144 d=169 d= square root of 169 d=13
300

Evaluate the function for x = -4:

f(x) = x2 - 5

f(-4) = 11

400

Simplify;

106
10-7 

1013

400

What is the Scientific Notation of the decimal value of 1/8?

1.25*10-1

400

In a right triangle, solve for b if a=12 and c = 13

b = 5

400
What is distance between the point (-5,6)and (3,2)?
x1,y1 x2,y2 (-5,6) (3,2) d=(X2-x1)^2+(Y2+Y1)^2 d=(3)-(-5)^2+(2)-(6)^2 d=(3+5)^2+(2-6)^2 d=(8)^2+(-4)^2 d=64+16 d=80 d= square root of 80 d=4/5
400

122.5 is 35% of what total?

350

500

Simplify:

(2.5 x 105)2

6.25 x 1010

500

Simplify into scientific notation: 4.8*1002

4.8 x 104

500
What is Pythagorean theorem if A=6 B=8 ?
A^2+B^2=c^2 (6)^2+(8)^2=c^2 36+64=c^2 c^2=100 c^2=square root of 100 c=10
500
What is distance between the point (3,4)and (-1,2)?
x1,y1 x2,y2 (3,4) (-1,2) d=(X2-x1)^2+(Y2+Y1)^2 d=(-1)-(3)^2+(2)-(4)^2 d=(-1-3)^2+(2-4)^2 d=(-4)^2+(-2)^2 d=16+4 d=20 d= square root of 20 d=2/5 or 4.5
500

Solve the system:

2x - 3y = 8

x + 10 = -2y

(-2, -4)