SOLVING EQUATIONS WITH SQUARE ROOTS WORKSHEET

Solve the following equations for x :

1) 5√2 = √x                 Solution

2)  3√x = √45         Solution

3)  2√2 = √4x         Solution

4)  √(x+1) = 6         Solution

what value of x satisfies the equation above ?

(a) 5   (b) 6   (c)  35   (d)  36

Solution

5)  (x-12) = √(x+44)

What are all possible solution to the given equation ?

(a)  5   (b)  20   (c)  -5 and 20   (d)  5 and 20

Solution

6)  x + 3√x = 28                   Solution

Word Problems on Square Roots

1)  Landscaping Read wants to have a square garden plot in his backyard. He has enough compost to cover an area of 75 square feet. How long can a side of his garden be?

Solution

2)  Landscaping Read wants to have a square garden plot in his backyard. He has enough compost to cover an area of 130 square feet. How long can a side of his garden be?

Solution

3)  Decorating Denise wants to install a square accent of designer tiles in her new shower. She can afford to buy 625 square centimeters of designer tiles. How long can a side of the accent be?               Solution

4)  Decorating Morris wants to have a square mosaic inlaid in his new patio. His budget allows for 2,025 tiles. Each tile is square with an area of one square inch. How long can a side of the mosaic be?           Solution

5)  Amber wants to put carpet on the floor of her bedroom. The floor is a square with an area of 182.25 square feet. How long should the piece of carpet be on each side?

Solution

6)  A square has a side length of 3x and an area of 324 in². What is the value of x ?             Solution

7)  The area of a square is 144 cm². What is the length of one side?             Solution

8)  The area of a square is 289 m². What is the perimeter of the square?                   Solution