Queen Sandy's 10 week review

Laws of exponents

100

2⁵ x 2⁷

2¹²

200

(6x⁹ )(3x^-5 )

18x⁴

300

3x⁰

3

400

Simplify completely

2^-4

1/16

500

(3x⁴)³

27x¹²

Scientific notation

100

Write in scientific notation

432,000

4.32 x 10⁵

200

Write in scientific notation

0.000024

2.4 x 10^-5

300

(7.2 x 10⁵) + (8.9 x 10⁵)

1.61 x 10⁶

400

(8.1 x 10⁴)(2.9 x 10⁵)

2.349 x 10¹⁰

500

The population of Whoville is 5.6 x 10⁴. The population of Narnia is 4.48 x 10⁷. How many times greater is the population of Narnia than the population of Whoville? 

800

Solving equations

100

5x - 6 = 3x + 2

x = 4

200

3(2x + 8) = 4x + 20 

x = -2

300

x/5 + 7 = 9

x = 10

400

1/3 (6x + 9) = 1/2 (8x - 4)

x = 2.5

500

1/5 (15x - 10) + 4 = 1/3 (9x + 6)

infinite solutions

y=mx+b

100

In the equation y = 3x - 1, the 3 is the ___________. 

slope

200

Rewrite the equation 3x - 5y = -20 into slope intercept form.

y = 3/5 x + 4

300

What values of x would you put in the table for the equation                  y = 2/3 x - 5

-6,-3,0,3,6

400

What is the equation that created this table

x     y

1     10

2     14

3     18

y = 4x + 6

500

A plumber charges a flat fee of $50 and then $75 per hour. Write an equation in slope intercept form to represent this situation.

y = 75x + 50

Odds and Ends

100

Is the point (3,5) a solution to the equation               4x + 3y = 27?

yes

200

What is the equation that represents: 

The product of a number and 4, decreased by 7 is 24. 

4x - 7 = 24

300

What is the slope of a horizontal line?

0

400

What is the slope between the points (-3,6) and (7,-2)

-4/5

500

Inside a stable, there are horses and people. There are 50 legs in total. Write an equation to represent this situation.

4h + 2p = 50