# Algebra and square roots

**Question description**

1.

Rosa, Roberto, Andrea, and Inno find an estimate for square root 10. Who has proposed the best solution? (1 point)

Rosa: "Use square root 9 and square root 25 to estimate."

Roberto: "I will use square root 4 and square root 9."

Andrea: "It should be square root 11 and square root 12."

Inno: "Use square root 9 and square root 16 to find the estimate."

2.

Joy knits a square blanket that has an area of 1,500 square inches. What is the approximate length of each side of the blanket? (1 point)

16 inches

27 inches

39 inches

42 inches

3.

An example of an irrational number is _____. (1 point)

negative square root 17

square root 16

negative square root 9

square root 1

4.

Which statement is true? (1 point)

Every real number is an integer.

Every rational number is a real number.

Every rational number is a perfect square.

Every integer is an irrational number.

5.

Which two sqare roots are used to estimate square root 47? (1 point)

square root 25 and square root 36

square root 25 and square root 49

square root 36 and square root 49

square root 49 and square root 64

6.

An estimate for –negative square root 72 is _____. (1 point)

– 8.1

– 8.5

– 9.1

– 9.5

7.

Mason is an architect and is drawing the plans for a room addition for a client. If the shape of the room is a cube, what is the volume in cubic feet if the length is 23 feet? (1 point)

529

1,024

12,167

32,768

8.

The area of a circle is found with the formula A = pi r squared, where pi represents 3.14. If a tile artist is placing tiles in a circular mosaic pattern and the area of the circle is 658 square feet, what is the approximate radius of the circle in feet? (1 point)

10

13

14

17

my answers:

1. Inno

2. 39 inches

3. -√17

4. Every rational number is a real number

5. √36 and √49

6. -8.5

7. 12,167

8. 14

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