Name______Date______Class______

Problem Solving

Square Roots and Real Numbers

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1-1Holt McDougal Algebra 1

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1.Jack is building a square pen for his dog. If he wants the area of the pen to be 121 square feet, how long should he make each side of the pen?

______

3.The Statue of Liberty, which sits on Liberty Island in New York Harbor, is
151 feet high, from base to torch. Write all classifications that apply to
151 : natural, whole, integer,
rational, terminating decimal, repeating decimal, and irrational.

______

______

2.Danny needs a square-shaped picture to cover a hole in his wall. It has to cover at least 441 square inches of wall space. What is the smallest side length the picture can have?

______

4.A square note card has an area of 5 in2. Estimate the length of the side to the nearest tenth. Then write all classifications that apply to the actual side length: natural, whole, integer, rational, terminating decimal, repeating decimal, and irrational.

______

______

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1-1Holt McDougal Algebra 1

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Use the table below to answer questions 57. The table shows the area of four sizes of square-shaped pizzas sold at Town Pizza. Complete the table by finding the length of each side of the four pizzas. Round to the nearest tenth if needed. Select the best answer.

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1-1Holt McDougal Algebra 1

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5.What is the length of each side of an
extra large pizza?

A24 in.C26 in.

B25 in.D36 in.

6.Which of the following classifications
applies to the length of each side of
a large pizza?

FnaturalHinteger

GwholeJrational

7.Which of the following is NOT a
classification for the length of each side
of a small pizza?

AwholeCrational

BirrationalDinteger

Pizza Size
/ Area
(in2) / Side
length (in.)
Small / 100
Medium / 200
Large / 420.25
Extra Large / 576

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1-1Holt McDougal Algebra 1

LESSON 1–5

Practice A

1.52.2

3.4.4

5.106.

7.8.7 feet8.7.1 feet

9.integer, rational, terminating

10.irrational

11.rational, repeating

12.natural, whole, integer, rational, terminating

Practice B

1.122.6

3.4.14

5.86.

7.3.5 feet8.5.2 feet

9.irrational

10.rational, repeating

11.integer, rational, terminating

12.natural, whole, integer, rational, terminating

13.whole, integer, rational, terminating

14.natural, whole, integer, rational, terminating

Practice C

1.1002.1

3.4.25

5.1.66.

7.9.4 feet

8.natural, whole, integer, rational, terminating

9.rational, repeating

10.integer, rational, terminating

11.irrational

Review for Mastery

1.52; 62; 92; 102;
1; 4; 9; 16; 49; 64; 121; 144; 169

2.; ; ; ; ; ;
1; 2; 5; 6; 7; 10; 11; 12

3.114.8

5.166.20

7.8.

9.real number, rational number, terminating decimal, integer, whole number, natural number

10.real number, rational number, repeating decimal

11.real number, irrational number

Challenge

1.7302.730

3.14304.532,900

5.2,044,9006.2,577,800

7.16068.5226 ft

9.5226 ft

Problem Solving

1.11 ft2.21 in.

3.rational number; repeating decimal

4.2.2; irrational

5–7

Side length (in.)
10
14.1
20.5
24

5.A6.J

7.B

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A7Holt McDougal Algebra 1