Algebra 2

Logarithms

100

Solve the following:

log₂(16)=

4

200

Solve the following:

log₃(1/9)=

-3

300

Solve for x in the following:

log5x=log(2x+9)

x=3

400

Solve for x:

log x + log 5 = 2

x=20

500

Solve for x:

log x + log 7 = log 35

x=5

Inverse Functions

100

Find the inverse function:

y=x+3

y'=x-3

200

Find the inverse:

y=2x-4

y'=(x+4)/2

300

Find the inverse:

y=1/4x + 2

y'=4x-8

400

Find the inverse:

y=x²

y = square root of x

500

Find the inverse:

3y + 6x = 12

y'=(x-4)/-2

Matrices

100

Solve the following:

[ 1   3    6]  +   [ 5   -1    2]

[6    2    8]

200

Solve the following:

8    4     5                  3       5     -1

3   -2     0         -       3      -3     -6

1    7     3                  1       1     -2

5      -1       6

0       1       6

0       6       5

300

Solve the following:

[1   2   3] x [4   5   6]

undefined

400

Solve the following:

1    3               2     4

5    8              -1     1

-1      7

2      28

500

Solve the following:

2[4   5    8] - [3   -1    10]

[5    11    16]

Probability

100

You flip a coin 3 times, what is the probability that you land on heads all three times?

1/8

200

You flip a coin once and roll a dice once. What are the chances that you flip heads and roll an odd number?

1/4

300

You roll a dice twice, what are the chances you roll any even number and then a five?

1/12

400

In a basket there are five red pens, three blue pens, and six black pens. You reach in and randomly select a pen. What are the chances that you select a blue pen?

3/14

500

You and your four siblings are painting your bedrooms. Each room must be different and your options are blue, pink, yellow, purple, and green. How many possible combinations of colors are there?

120

Solving for x

100

Solve for x:

5x=35

x=7

200

Solve for x:

2(x-4)=20

x=14

300

Solve for x:

(x/2)+3=7

x=8

400

Solve for x:

|10-29|=x

x=19

500

Solve for x:

2x²=18

3 or -3