Algebra Final

Factor: 24x³ + 42x² + 9x

• 3x(4x + 3)(2x + 1)

• x(12x + 3)(2x + 1)

• x(2x + 3)(12x + 1)

• 3x(2x + 3)(4x + 1)

Simplify

• 16

• 64

• 256

• 216

What is the simplest form of this radical?

• 
• 
• 
• Cannot be simplified

Solve the equation (hint: use the quadratic formula):
3x² - 2x - 6

• 2.2 or -1.8

• 1.8 or -1.1

• 1.2 or -2.2

• 2.8 or -2.8

How long is side x?

• 14.1

• 13.8

• 15.2

• 14.7

Solve the system using any method.

y = -2x - 1

y = x + 5

• (-2, 3)

• (2, 3)

• (-2, -3)

• (2, -3)

Simplify.

• 3x³

• 3x⁵

• 3x^-3

• 3x^-5

5c – 15 = 2c + 6

• 7

• -3

4 (x + 4) = 2 (2x +8)

• 8 ≠ 10 no solution

• x = 16

• 4=4 infinite solutions

• 16=16 infinite solutions

Translate into an equation:

One less than 4 times a number is 11

• 1-4n=11

• 4n-11=1

• 1-11=4n

• 4n-1=11