Algebra II

Exponents

100

4³ = ?

64

200

(x⁴)(x³)(x) = ? 

x⁸

300

(12x⁷)/(3x³)

4x⁴

400

Solve for x: 3^x = 243

x = 5

500

Solve: 4⁶ = 8^x

x = 4

Logarithms

100

Change to exponent: log₂x = 3

2³ = x

200

Change to exponent: ln(6) = x

e^x = 6

300

Find the value of the logarithm: log₂(16)

4

400

Find the value of the logarithm: ln(1)

0

500

Solve: 2 + 3log₂x = 5

2

Functions

100

Add: (3x + 7) + (2x - 4)

5x + 3

200

Subtract: (4x² - 5x + 1) - (x² - 8)

3x² - 5x + 9 

300

Multiply: (x + 4)²

x² + 8x + 16

400

If f(x) = 2x - 5 and g(x) = 3x + 2, find f(g(x))

6x - 1

500

If f(x) = 2x² - 3, find f^-1(x)

f^-1(x) = sqrt[(x + 3)/2]

SADMEP

100

Solve: 4 - x = 8

x = -4

200

Solve: 2x - 7 = 9

x = 8

300

Solve: x² - 7 = 18

x = 5, -5

400

Solve: (x - 4)(x + 1) = 0

x = 4, -1

500

Solve: 2(x - 3)² = 18

x = 6, 0

Grab Bag

100

Name the 4 Gospels in the Bible

Matthew, Mark, Luke, John

200

Who is the 4th president of the USA?

James Madison

300

What is the name of the monkey in Aladin?

Abu

400

What were the years of the American Civil War?

1861-1865

500

What is the symbol for gold on the periodic table?

Au