NJ SLAM Review

Exponent Rules

100

-3⁴

-81

200

(4x³)(3x⁴)

12x⁷

300

(5x⁴)³

125x¹²

400

-12x⁶y⁴ / 4x²y²

-3x⁴y²

500

5a⁵b³ / 20a²b⁶

a³/4b³

Scientific Notation

100

Write 6.23 x 10^-4 in standard form 

0.000623

200

Write 45,000,000,000 in scientific notation 

4.5 x 10¹⁰

300

(4x10³)(3x10⁴)

12x10⁷ = wrong

1.2 x 10⁸

400

(3x10⁶)/(5x10⁹)

0.6 x 10^-3 = wrong

6x10^-4

500

(4x10⁵) + (3x10⁷)

3.04x10⁷

Triangles/Polygons

100

the three angles of a triangle are, 42 degrees, 63 degrees, and __________

75 degrees

200

In a right triangle the legs are 8cm and 15cm.  What is the hypotenuse?

17 cm 

300

In a right triangle the hypotenuse is 15m and one leg is 9m. What is the other leg?

12m 

400

Find the sum of interior angles of a dodecagon

1800 degrees 

500

What is the measure of one interior angle of a regular decagon?

144 degrees 

Systems and graphing

100

Graph the equation y=1/3x -4

see graph

200

What is the slope between the points (4,-2) and (6,1)

3/2

300

Find the equation of a line that passes through the points (3,7) and (5,13)

y=3x-2

400

Solve the system 

x=6-2y

3x+3y = -3

(-8,7)

500

Solve the system 

-6x + 8y = 16

-6x + 2y = 4

(0,2)

Miscellaneous

100

Classify the following numbers:

1.) -5

2.)0.0064

1.) integer

2.) rational

200

Approximate the square root of 54 (round to the hundredths place)

7.33

300

Find the distance between the points (1,2) and (7,10)

10 units 

400

Do these ordered pairs represent a function? explain.

(4,6)

(1,5)

(2,8)

(3,5)

(5,5)

yes, each input has only one output

500

What is the volume of a cylinder with a radius of 4 inches and height of 5 inches.  (use 3.14 for pi)

251.2in³