Alg 2 (sem 1)

Stats

100

Which is greatest: Mean, Median, Mode, Range, IQR, St. Dev.?

-3, 5, 5, 10, 11, 30

Range: 33

200

What is the z-score for 20 if the mean is 25 and the standard deviation is 5?

z-score = -1

300

What proportion of scores fall between the z-scores of -1 and 2.5? Assume a normal distribution.

83.5%

400

Times for a race are normally distributed with a mean of 12 minutes and a st. dev. of 2 minutes. 

What percent of people were faster than a time of 9 minutes?

6.7 %

500

If a piece of fruit has too many blemishes it must be thrown out.  If 8% are thrown out and the mean number of blemishes is 1.2 with the st. dev. of 2, what is the most blemishes a fruit can have before being thrown out?

4

Lines

100

What is the slope of the line with an equation of 

2x - 3y = 6

2/3

200

Find the equation of the line of best fit for ...

(1, 80), (8, 65), (12 , 36)

y = -3.8x + 86.9

300

Write the equation of a line passing through (1, -3) and with a slope of -2.

y = -2x - 1

400

A savings account has to have an initial balance of $100. You plan to add $50 per month to the account. Write an equation for your balance over time.

B = 50m + 100

500

Which quadrant does not have solution in the system 

y < 3x - 5   and   y < -1 

II

Systems

100

Solve the system:

2x - y = 8     and       y = x + 4

(12, 16)

200

Add:

 1   2                   -4   2

-3  -5         +        8   0

-3     4

5     -5

300

Multiply:

1    3      *       4

                       3

13

400

Solve : 

-1   5         x           -1

2    3         y            2

(1, 0)

500

Solve:

4x + 2y - z = 4

2x - 3y + 2z = 4

x + y - z = -1

1

2

4

Quadratics

100

Find the axis of symmetry:

y = 2x² - 6x + 1

1.5

200

Find the Vertex:

y = x² - 8x + 3

(4, -13)

300

factor:

4x²  -15x  + 9

(4x - 3)(x - 3)

400

Solve:

4x² - 9 = 0

x = 3/2   and x = -3/2

500

Simplify:

(2i - 1)(i + 3)(3i + 1)

-10 - 10i