Algebra Final Review

Simplify:  x⁷ ⋅ x³ ⋅ x

• x¹⁰

• x¹¹

• x²¹

• 3x¹¹

Simplify:  (3xy⁴)²

• 3xy⁸

• 9xy⁶

• 9xy⁸

• 9x²y⁸

Simplify:  (-5x³ - 4x + 1) − (−3x³ − x − 2)

• -8x³ − 3x + 3

• −8x³ −5x − 1

• −2x³ − 3x + 3

• −2x³ − 5x + 3

What is an expression for the PERIMETER of this rectangle?

• 6x² + 5

• 8x² + 14x + 6

• 6x + 5

• 12x + 10

What is an expression for the AREA of this rectangle?

• 6x² + 5

• 8x² + 14x + 6

• 8x² + 6

• 12x + 10

Multiply:  (3x − 2)²

• 9x² + 4

• 9x² − 4

• 9x² −12x + 4

• 9x² − 12x − 4

Divide:     (18x³ + 9x² + 2x)    ÷     3x

• 6x² + 3x + ⅔x

• 6x² + 3x

• 6x³ + 3x² + ⅔x

• 6x² + 3x + ⅔

Factor:  x² − 8x − 20

• (x − 10)(x + 2)

• (x + 10)(x - 2)

• (x + 10)(x + 2)

• (x − 10)(x − 2)

Which value of b would make x² + bx + 8 factorable?

• 4

• 5

• 6

• 7

Factor the trinomial:  2x² −7x −15

• (2x − 3)(x − 5)

• (x − 5)(x − 3)

• (2x + 3)(x − 5)

• (2x − 3)(x + 5)