PATH Math 9

Power rules

100

x^16 * x^-4 * x^3

x^15

200

(x^3*y^4)^5

x^15*y^20

300

(v^5+3*v^5)/v^9

4*v^-4

400

((x^6*x^4)^3)*x^10

x^82

500

((u^4*y^-5)/(y^-2*u^0))^-3

u^-12*y^9

Scientific Notation

100

Convert to Standard Notation:

4 x 10^4

40,000

200

Convert to Standard Notation:

5.6734 x 10^6

5,673,400

300

Convert to Scientific Notation:

45,900

4.59 x 10^4

400

Convert to Standard Notation:

7.009E-3

0.007009

500

Convert to Scientific Notation:

0.00000006523

6.523 x 10^-8

Scientific Notation Calculations

100

5 x 10^4 * 7 * 10^6

3.5 x 10^11

200

12 x 10^3 + 3 x 10^3 - 7 x 10^3

8 x 10^3

300

(60 x 10^4)/(12 x 10^-8)

5 x 10^12

400

5.61 x 10^7 + 1.28 x 10^6

5.738 x 10^7

500

(2 x 10^4 + 50 x 10^2)*3 x 10^6

7.5 x 10^10

Solving Equations

100

x + 7 = 45

x = 38

One solution

200

3*(2x-3) = 4x + 12

x = -3/2

One solution

300

3 + 5n = 5(n + 2) - 7

Infinite Solutions

400

 The height of a triangle is three times the length of its base. The triangle has an area of 54 m^2. What are its length and height?

Hint: What is the formula for the area of a triangle?

Length = 6 m

Height = 18 m

500

Aaron is 5 years younger than Jake. Four years later, Jake will be twice as old as Aaron. Find their present ages.

Aaron is 1 year old.

Jake is 5 years old.