Algebra 2 Review Jeopardy!

Log Rules

100

Expand as a sum and/or difference of logarithms:

log₃(8/x)

log₃(8)-log₃(x)

200

Expand as a sum and/or difference of logarithms:

log_b(xz³)

log_b(x)+3log_b(z)

300

Rewrite as a single logarithm:

5log(2) + 3log(x)

log(32x³)

400

Rewrite as a single logarithm:

3log(5) - 1log(x)

log(125/x)

500

Rewrite as a single logarithm:

5log(x) - 2log(x²+1) + 2log(x-1)

logx⁵(x-1)²/(x²+1)²

FOIL

100

(x + 1) (x + 2)

x2 + 3x + 2

200

(x - 4) (x + 3)

x2 - x - 12

300

(2x + 1) (3x + 4)

6x2 + 11x + 4

400

(4x - 3) (2x + 3)

8x2 + 6x - 9

500

(3x - 5) (3x - 4)

9x2 - 27x + 20

Solve for X

100

Solve for x: x + 2 = 10

x = 8

200

Solve for x: 3x - 2 = 10

x = 4

300

Solve for x: 2x + 3 = x - 6

x = -9

400

Solve for x: 3x + 6 = x + 10

x = 2

500

Solve for x: x² - 5 = 20

x = 5

Logarithms

100

Rewrite as a corresponding exponential equation: log₇(1/49)=-2

7^-2=(1/49)

200

Rewrite as a corresponding exponential equation:

log₂(128)=7

2⁷=128

300

Rewrite as a corresponding logarithmic equation:

5⁴=625

log₅625=4

400

Write as a corresponding logarithmic equation:

4^-3=(1/64)

log₄(1/64)=-3

500

Rewrite as a corresponding exponential equation:

log₉(729)=3

9³=729

Solving Log Equations

100

log₄x=7/2

128

200

log₄x=-1

1/4

300

log₄(x-3)=-1

13/4

400

4log₇(x-7)=12

350

500

6+7log₉x=20

81