Name ———————————————————————
Date ————————————
Practice B
Lesson
2.1
For use with the lesson “Find Square Roots and Compare Real Numbers”
Evaluate the expression.
}
1. 6Ï 81
}
3. 2Ï 400
}
}
6. 6Ï 169
2. 6Ï 25
}
4. Ï 625
}
5. Ï 4900
Approximate the square root to the nearest integer.
}
}
7. 2Ï 29
}
8. Ï 108
}
9. 2Ï 53
}
}
10. Ï 138
12. Ï 640
11. 2Ï 55
Tell whether each number in the list is a real number, a rational number,
an irrational number, an integer, or a whole number. Then order the
numbers from least to greatest.
}
3 }
13. 2Ï 16 , 3.2, 2}, Ï 9
2
}
24
14. Ï 5 , 26, 2.5, 2}
5
Evaluate the expression for the given value of x.
}
15. 14 1 Ï x when x 5 16
17.
}
29 p Ïx when x 5 25
}
16. Ï x 2 5.5 when x 5 4
}
18. 2Ï x 2 1 when x 5 100
19. Park A local park is in the shape of a square and covers an area of 3600 square feet.
20. Wall Poster You are considering buying a square wall poster that has an area of
6.25 square feet. Find the side length of the wall poster.
21. Road Sign The U.S. Department of Transportation
determines the sizes of the traffic control signs that
you see along the roadways. The square Pennsylvania
state route sign at the right has an area of 1296 square
inches. Find the side length of the sign.
Lesson 2.1
22. Flower Bed You are building the square flower bed
2-6
shown using railroad ties. You want to place another
railroad tie on the diagonal to form two triangular
beds. Find the}
length of the diagonal by using the
expression Ï2s2 where s is the side length of the
flower bed. Round your answer to the nearest tenth.
5 ft
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Find the side length of the park.
Algebra 1
Chapter Resource Book
CS10_CC_A1_MECR710723_C2L01PB.indd 6
5/10/11 12:54:18 AM
Answers for Chapter 2
Lesson 2.1 Find Square Roots
and Compare Real Numbers
}
1. 6
3. 3
Î
Î
}
}
1
1
2Ï 19 , }9 , 0.7; rational number: 24.4, }9 , 0.7;
4. 7 5. 22 6. 25
}
rrational number: 2Ï 19 ; integer: none; whole
7. 9 8. 211 9. ±4 10. 9; 16 11. 25; 36
}
Î}19 , 0.7
}
12. 36; 49 13. 2 14. 4 15. 25 16. 27
number: none; 24.4, 2Ï 19 ,
17. 23 18. 8
7
1
15. real number: 2 } , 20.3, 1.15, }; rational
4
4
}
7
1
number: 2 }4 , 20.3, 1.15, }4; irrational number:
}
1
none; integer: none; whole number: none; 2 }4 ,
7
1
20.3, 1.15, }4 16. 7 17. 213 18. }6 19. 218
20. 1.5 ft; 2.5 ft 21. a. 48 in. b. 2 22. 16 in.;
}
19. real number: 25, 2, Ï 9 , Ï 64 ; rational number:
}
}
25, 2, Ï 9 , Ï 64 ; irrational number: none; integer:
}
}
}
}
25, 2, Ï 9 , Ï 64 ; whole number: 2, Ï9 , Ï64 ; 25,
}
}
}
}
2, Ï9 , Ï 64 20. real number: 2Ï16 , 0, Ï 3 , 5.5;
}
rational number: 2Ï16 , 0, 5.5; irrational number:
}
}
}
Ï3 ; integer: 2Ï16 , 0; whole number: 0; 2Ï16 , 0,
}
}
2
}
Ï3 , 5.5 21. real number: 23.6, 2Ï1 , }3, Ï4 ;
2
rational number: 23.6, 2Ï1 , }3 , Ï4 ; irrational
}
}
}
}
number: none; integer: 2Ï1 , Ï 4 ; whole number:
}
}
2
3
}
Ï 4 ; 23.6, 2Ï 1 , }, Ï 4 22. real number: 24,
}
5
5
2Ï 6 , }2, 7; rational number: 24, }2 , 7; irrational
}
number: 2Ï 6 ; integer: 24, 7; whole number: 7;
5
}
24, 2Ï 6 , }2 , 7 23. 5 ft 24. 24 in. 25. about
4.2 knots
1. 69 2. 65 3. 220 4. 25 5. 70 6. 613
7. 25 8. 10 9. 27 10. 12 11. 27 12. 25
}
3 }
13. real number: 2Ï 16 , 3.2, 2}, Ï 9 ; rational
2
}
3 }
number: 2Ï 16 , 3.2, 2}2 , Ï9 ; irrational number:
}
}
}
none; integer: 2Ï 16 , Ï9 ; whole number: Ï9 ;
3
24
}
2Ï16 , 2}2 , Ï9 , 3.2 14. real number: 26, 2}
,
5
24
}
Ï 5 , 2.5; rational number: 26, 2}
, 2.5; irrational
5
}
number: Ï5 ; integer: 26; whole number: none;
24
}
26, 2}
, Ï5 , 2.5
5
15. 18 16. 23.5 17. 245 18. 19 19. 60 ft
20. 2.5 ft
Î
Î
28 in.
Study Guide
1. 17 2. 210 3. 621 4. 9 5. 15 6. 24
}
}
1
7. real number: Ï 10 , 2}, 2Ï 8 , 22, 1.3;
2
1
rational number: 2}2, 22, 1.3; irrational number:
}
}
Ï10 , 2Ï8 ; integer: 22, whole number: none;
1
}
}
21. 36 in. 22. about 7.1 ft
Practice Level C
1. ±30 2. 260 3. 14 4. 26 5. ±18 6. 222
7. 7 8. 215 9. 19 10. 212 11. 17 12. 221
}
2Ï8 , 22, 2}2, 1.3, Ï10 8. real number: 2Ï 3 ,
1
1
}
2}3 , 2Ï 11 , 22.5, 4; rational number: 2}3 , 22.5,
}
}
4; irrational number: 2Ï 3 , 2Ï 11 ; integer: 4,
}
Practice Level B
}
Î
}
}
A10
}
}
2
2. 10
15
}
2Ï 169 , 2}
, Ï 6 , 7.25 14. real number: 24.4,
2
Practice Level A
2
}
Ï6 ; integer: 2Ï169 ; whole number: none;
1. 11 feet 2. yes 3. 72 inches left over
2
}
15 }
13. real number: 2Ï 169 , 2}, Ï 6 , 7.25; rational
2
}
15
}
number: 2Ï 169 , 2 2 , 7.25; irrational number:
}
1
whole number: 4; 2Ï11 , 22.5, 2Ï 3 , 2}3, 4
Challenge Practice
1. 2, 8, 18, 32, 50, 72, 98 2. 3, 12, 27, 48, 75
3. 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 4. 5, 20,
45, 80 5. 6, 24, 54, 96 6. 7, 28, 63 7. 4, 64
8. 9 9. 1, 16, 81 10. 25 11. 36 12. 49
Lesson 2.2 Solve One-Step
Equations
Teaching Guide
Alternative Lesson Starter: 1.75r 5 525; 300 mi/h;
divide each side by 1.75.
Practice Level A
1. Subtract 23. 2. Add 218. 3. Subtract 250.
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
answers
Teaching Guide
Solving Linear Equations
4. yes 5. no 6. yes 7. x 5 8 8. n 5 5
9. w 5 11 10. y 5 19 11. a 5 12
3
1
1
2
12. m 5 14 13. 5; } 14. }; 4 15. 2}; 2}
5
4
2
3
Algebra 1
Chapter Resource Book
CS10_CC_A1_MECR710723_C2AK.indd 10
5/21/11 1:53:15 AM