Algebra 1A Unit 4 practice test

Simplify: (y³ + 2y² - y) - (3y⁴ + 2y² + 4y)

• -3y⁴ + y³ + 4y² + 3y

• -3y⁴ + y³ - 5y

• -2y⁴ + 4y² + 3y

• 4y⁴ + 4y² + 3y

1. Calculate the product of the expression: (2x² + 5) and (3x⁵ + x - 4)

• 21x⁵ - 6x² +5x -20

• 5x⁷ + 8x⁵+ 2x² - 3x - 20

• 18x⁵ + 7x³ - 8x -20

• 6x⁷ + 15x⁵ + 2x³ -8x² + 5x - 20

Factor completely: (v⁴ - 16)

• (v + 4)(v - 4)

• (v + 2)(v - 8)

• (v² + 4)(v² - 4)

• (v⁴ + 8)(v - 2)

1. What is the coefficient of the 5^th degree of the given polynomial? -7x⁸ - 2x⁶ + x⁵ - 3x² + 14

• -7

• -2

• x

• 1

Factor completely: 12x² - 2x - 4

• (12x - 1)(x - 4)

• (2x + 1)(3x - 2)

• (2)(2x + 1)(3x - 2)

• (2x-1)(3x + 2)

Factor completely: 2x² + 4x - 96

• (2)(x + 8)(x - 6)

• (2)(x - 8)(x + 6)

• (2x + 8)(x - 6)

• (2x - 8)(x + 6)

Factor completely: 18x² - 3x - 6

• (3)(2x - 1)(3x + 2)

• (6x - 3)(3x +2)

• (9x - 2)(2x + 3)

• (3)(2x + 1)(3x - 2)

Factor Completely: -4x² + 64

• 4(-x² + 16)

• -4(x + 4)(x - 4)

• 4(x + 4)(x - 4)

• -4(x - 4)(x - 4)

Name the zeros of the polynomial (select all that apply): 6x² - x - 2

• 2

• -2

• -1/2

• 1/2

1. A pool company will fill your swimming pool for when the weather gets nice. They have 2 tanker trucks that will carry water.

Truck Tall Man

Holds A gallons of water

Visits Q customers

Truck Little Boy

Holds B gallons of water

Visits R customers

What is A + B?

• Total number of customers the trucks visit.

• Total number of gallons of water delivered by the trucks.

• Total number of gallons left in the trucks after they finish.

• Total number gallons of water held by the two trucks.