CC3 Ch. 8 Review

Standard <->Scientific

100

Convert 1.29 x 10⁸ to standard form.

129,000,000

200

Convert 0.0000054 to scientific notation.

5.4 x 10^-6

300

Earth is approximately 9.296 x 10¹⁵ miles away from the sun, express this number in standard form.

9,296,000,000,000,000 

400

Convert 5.9201 x 10^-6 to standard form

0.0000059201

500

Convert 0.0000000901 to scientific notation.

9.01x10^-8

Exponent Rules I

100

16⁰

1

200

4^-2

1/4²  = 1/16

300

b^{7 *} b¹³

b²⁰

400

3⁷ / 3⁴

3³ = 27

500

(2^-3)⁴

2^-12 = 1/2¹²

Exponent Rules II

100

(4a⁵)²

4²a¹⁰=16a¹⁰

200

(7p⁴)(5p⁹)

35p¹³

300

(10x⁹)/(5x⁶)

2x³

400

(3 x 10⁵)(2 x 10³)

6 x 10⁸

500

(2.3 x 10¹³)(3.6 x 10¹²)

8.28 x 10²⁵

Simple and Compound Interest

100

What is the simple interest for $34,000 at 4% for 3 years?

$4,080.00

200

What is the total balance for $20,600 at 8% simple interest for 24 months?

$23,896.00

300

What is the total balance with a principal of $12,700 at 8.8% compounded annually for 1 year?

$13,817.60

400

If $6000 has been invested for 10 years,

Bank A offers a simple interest rate of 6%,
Bank B offers an annual, compound interest rate of 5%

Which bank will make you more money?

Bank A: $3,600 made,

Bank B: $9,773.37 mode,

Bank B is better

500

If $13,700 has been invested for 8 years,

Bank A offers a simple interest rate of 6.8%,
Bank B offers an annually, compound interest rate of 5.6%

Which bank will make you more money, and how much more?

Bank A: $7,452.8 made,

Bank B: $21,185.17 made,

Bank B makes you $13,732.37 more than Bank A

Solving Equations

100

4(6+5x) = 124

x = 5

200

6x + 3 - 2x = 2x + 11

x = 4

300

6(6x - 2) = 8(x - 5)

x = -1

400

Solve for x:

1/2x+1/3=2/3x-1/6

x = 3

500

Solve for x:

6/15=(x-2)/40

x=18