Chapter 4 JJHS

Exponents

100

Simplify     4²  x  4⁷

4⁹

200

Simplify    

                 x⁹

                    ^____

                      x⁴

x⁵

300

(x⁴)³ 

x¹²

400

 x⁵

^____

  x^-12

x¹⁷

500

Solve for x.    (x²)⁶ - 12 = 4,084

x = 2

Scientific Notation

100

Write 10,000 In scientific notation

1 x 10⁴

200

Write 1.35 x 10⁸ in standard notation

135,000,000

300

Write .000000345 in scientific notation.

3.45 x 10^-7

400

Write 1,456,200 in scientific notation

1.4562 x 10⁶

500

Write 1.3584728974 in scientific notation.

1.3584728974 x 10⁰

Pythagorean Theorem

100

If a building is 8 feet tall and the base of a ladder is 4 feet from the building, how long is the ladder?

8.83 ft

200

Where does the hypotenuse go into the equation for Pythagorean Theorem.  

C

300

Give all possible answers for 12² + b² = 193

7 or -7

400

Two planes take off from the same spot.  One flies north 450 miles while the other flies west 175 miles.  How far apart are the two planes?

482.83 miles

500

((2.236)²)² + ((3)²)² = C²

10.30

Square Roots

100

What integers is the square root of 130 between?

11 & 12

200

What is the square root of 121?

11

300

What is the square root of 15²

15

400

What is the cube root of 343?

7

500

Find the 5th root of 5478 to the nearest tenth.

5.6

Distance

100

Find the distance between the points (0,0) and (2,2)

2

200

What is the formula to find distance?

the square root of (x₂-x₁)² + (y₂-y₁)²

300

Find the distance between (2,6) and (3,-1)

7.07

400

Find the distance between the points (6,14) and (6,-4)

18

500

Can you get a negative answer when finding distance?

No.