Algebra Unit

A square pool has a sidewalk that is 3 feet wide all the way around. The side length of the pool is x.

Write an expression that represents the area of the pool 

and the sidewalk?

• (x + 6)(x + 6)

• (2x + 3)(2x + 3)

• (x - 6)(x - 6)

• (2x - 3)(2x - 3)

A garden is 4ft longer than it is wide and has a sidewalk that is 3ft all the way around it. The total area of the garden and sidewalk is 160 ft².

Write an equation that represents the total area of the 

garden and walkway.

• (x + 6)(x + 10) = 160

• (2x + 3)(2x + 7) = 160

• (x - 6)(x - 10) = 160

• (2x - 3)(2x - 7) = 160

A garden is 4ft longer than it is wide and has a sidewalk that is 4ft all the way around it. The total area of the garden and sidewalk is 120 ft².

Write an equation that represents the total area of the 

garden and walkway.

• (x + 8)(x + 12) = 120

• (2x + 4)(2x + 8) = 120

• (x - 8)(x - 12) = 120

• (2x - 4)(2x - 8) = 120

• x = 4, x = 12

• x = -2, x = 6

• x = 3, x = 7

• x = 0, x = 8

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)

• x = 7, x = -3

• x = 2, x = 5

• x = -5, x = 5

• x = 7, x = -7

• x = 10, -5

• x = 15, -5

• x = 20, -5

• x = 15, 5

• x = 13, -7

• x = 10, -7

• x = 13, 7

• x = 10, 7

Simplify the following expression:

(xyz)⁰ =

• 0

• 1

• xyz

• -1

Write the equation that represents the table below:

• y=1/2(4)^x

• y=2(4)^x

• y=4(2)^x

• y=4(1/2)^x