Name ——————————————————————— CHAPTER
1
Date ————————————
Chapter Test A For use after Chapter 1
Evaluate the expression.
Answers
1. 12 2 q when q 5 8
2. 3x when x 5 9
3. w 3 when w 5 2
4.
24 t
} when t 5 4
6. (2.6)3
7. n6
8. The height of a horse is often measured in hands. You can estimate
the height (in inches) of a horse by using the expression 4h, where h is the number of hands. How tall is a horse that measures 14 hands? Evaluate the expression. 9. 15 2 7 p 2
2. 3.
Write the power as a product. 5. 104
1.
4. 5. 6. 7.
10. 2 1 23 4 4
11. 5(32 2 4) 8.
Translate the verbal phrase into an algebraic expression. 9. 12. The sum of a number x and 9
Write an equation or an inequality.
10. 11.
14. Three more than twice a number b is equal to 13.
12.
15. The product of 5 and a number k is less than 60.
13.
Check whether the given number is a solution of the equation or the inequality.
14.
16. 10x 2 3 5 27; 3
17. 4y 2 1 ≥ 20; 4
15.
18. 2x 1 1 < 17; 8
19. 4a 2 7 5 3a 2 4; 3
16.
20. A bicycle travels at an average speed of 15 miles per hour.
17.
How many miles does the bicycle travel in 1.5 hours? 18.
Tell whether the statement is always, sometimes, or never true.
19.
21. For a given whole number x, the expression 10x represents an even
20.
number. 22. For any positive number x, x2 < x
21. 22.
10
Algebra 1 Chapter 1 Assessment Book
Copyright © Holt McDougal. All rights reserved.
13. The number of quarters in d dollars
Name ———————————————————————
Chapter Test A
CHAPTER
1
continued
For use after Chapter 1
Tell whether the pairing is a function. 23.
Date ————————————
Input
Output
0
24.
Answers 23.
Input
Output
3
1
12
24.
5
7
2
6
25.
See left.
10
7
2
3
15
11
3
1.5
26.
See left.
27.
See left.
Make a table for the function. Identify the range of the function. 25. y 5 2x 1 1
28.
Domain: 0, 1, 2, 3 29.
Input, x Output, y 26. y 5 20 2 3x
Domain: 0, 2, 4, 6 Input, x
27. The table shows the height H (in feet) of an object as a function
of the time t (in seconds) after being thrown vertically upward. Graph the function for the domain given in the table. Time elapsed, t
0
1
2
3
4
5
Height, H
6
23
28
24
18
13
Determine whether the graph represents a function. 28.
29.
y 4 3 2 1 O
Height (in feet)
Copyright © Holt McDougal. All rights reserved.
Output, y H 28 24 20 16 12 8 4 0
0 1 2 3 4 5 6 t Time (in seconds)
y 4 3 2 1
1
2
3
4 x
O
1
2
3 4 x
Algebra 1 Chapter 1 Assessment Book
11
Name ——————————————————————— CHAPTER
1
Date ————————————
Chapter Test B For use after Chapter 1
Evaluate the expression.
Answers
1. 34.5x when x 5 4
2.
9 10
1 3
} y when y 5 }
1. 2.
Evaluate the power. 3. 54
4. 17
1 5 5. } 2
1 2
6. You can convert temperatures in degrees Fahrenheit to degrees 9 Celsius by using the expression } C 1 32, where C is the temperature 5
(in degrees Celsius). Convert 358C to degrees Fahrenheit. Evaluate the expression.
3. 4. 5. 6. 7.
8. 3[15 2 (23 2 6)2]
7. 16 4 (4 2 2) 2 3
8.
Evaluate the expression for the given values of the variables. 9. 3m 2 n when m 5 5 and n 5 4 10. 2u2 1 v when u 5 3 and v 5 7
10.
11. A rectangular box is created by cutting out squares of equal sides
11.
of lengths x from a piece of cardboard 10 inches by 15 inches and folding up the sides as shown in the figure. The volume of the box is given by V 5 x(10 2 2x)(15 2 2x). Find the volume of the box when the side length of the square is 3 inches.
10 in. x
x x
Write an algebraic expression, an equation, or an inequality. 12. The quotient of the square of a number t and 14 13. The product of 6 and the quantity 2 more than a number x is
at least 45. 14. The sum of 4 and the quotient of a number k and 9 is 12.
Check whether the given number is a solution of the equation or the inequality. r 15. 7z 1 8 > 20; 2 16. } 1 15 5 20; 25 5
16.
Copyright © Holt McDougal. All rights reserved.
15.
x
Algebra 1 Chapter 1 Assessment Book
13.
x
x
x
12.
14.
15 in. x
12
9.
Name ———————————————————————
Chapter Test B
CHAPTER
1
Date ————————————
continued
For use after Chapter 1
17. A carpet outlet s a price of $470.40 to carpet a 12-foot
by 16-foot room. If a customer was given a price of $725.20 for carpeting a room that is 16 feet wide, what is the length of the room?
Answers 17. 18.
Tell whether the statement is always, sometimes, or never true. 18. For a given whole number x, the expression 4x represents an even
number.
19. 20.
19. For any positive number x, x2 > x – 1.
21.
Write a rule for the function.
22.
20.
Input, x
1
3
5
7
Output, y
2
6
10
14
See left. 23.
21.
Input, x
12
15
18
21
Output, y
4
5
6
7 See left.
Find the range of the function. Then graph the function.
24.
1 22. y 5 } x 1 3 2
25.
23. y 5 x 2 6
Copyright © Holt McDougal. All rights reserved.
Domain: 0, 1, 2, 3, 4
Domain: 10, 12, 14, 16, 18 y
y 16
6 5 4 3 2 1 ⫺4 ⫺3 ⫺2
O
14
1 2
3
12 10 8 6 4 2
4 x
⫺2
O
2
4
6
8 10 12 14 16 18 x
Determine whether the graph represents a function. 24.
25.
y 4
3 2 1
3 2 1 O
y 4
1
2
3
4 x
O
1
2
3
4 x
Algebra 1 Chapter 1 Assessment Book
13
Name ——————————————————————— CHAPTER
1
Date ————————————
Chapter Test C For use after Chapter 1
Evaluate the expression. 1.
2
n3 when n 5 }3
Answers 2.
x
1 2
} y when x 5 6 and y 5 }
3. You can estimate your distance (in miles) from a thunderstorm by t , where t is the number of seconds between using the expression } 4.8
seeing the lightning and hearing the thunder. How far away is the thunderstorm, if 24 seconds after you see the lightning you hear the thunder?
1. 2. 3. 4. 5.
Evaluate the expression. 4.
[15 1 (52 p 2)] 4 13
(37 2 26)2 2 6 5. }} 32 4 22 2 (42 2 13)
Evaluate the expression for the given value of the variable.
6. 7. 8.
6. 8 1 4(q 2 3) 1 q when q 5 6 9. 7.
2m 2 n when m 5 5 and n 5 3 } m2 2 2n 1 2
10.
8. The formula for the area of a trapezoid is one-half the product
of the sum of the bases times the height. Find the area of the trapezoid below.
11. 12.
6 cm
13. 5 cm 14 cm
Write an equation or an inequality. 9. The product of 5 and the sum of a number n and 7 is less than the
quotient of the number n and 2. 10. Three times the sum of 4 and a number y squared is the same as
the difference of 14 and the number y. Tell whether the statement is always, sometimes, or never true. 11. For a given whole number x, the expression 13x 1 1 represents an
odd number. 12. For any positive number x, 3x2 > 6x.
Check whether the given number is a solution of the equation or inequality. x21 13. } 1 5 > x 1 1; 8 2
14
Algebra 1 Chapter 1 Assessment Book
14. 3(x 2 7) 5 19 2 x; 10
Copyright © Holt McDougal. All rights reserved.
14.
Name ———————————————————————
Chapter Test C
CHAPTER
1
Date ————————————
continued
For use after Chapter 1
15. Your aunt wants to spend at most $800 on a video camera and video-
tapes. She plans to buy the camera for $695 and tapes for $5.75 each. Can she buy 20 videotapes? 16. You invested $1500 in a bank for 5 years and received $150
in interest. What was the annual simple interest rate for the ?
Answers 15. 16. 17.
17. At a yard sale, you find a number of paperback books by your favor-
Amount left (in dollars)
ite author. You have $10 and each book is priced at $.75. Write a rule for the amount of money you have left as a function of the number of books you buy. Then use the grid below to graph the function. y 10 9 8 7 6 5 4 3 2 1 0
See left. 18.
See left.
See left. 19. 20.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 x Number of books
Copyright © Holt McDougal. All rights reserved.
Make a table for the function. Identify the range of the function. Then graph the function. 1 18. y 5 } x 21 3
y 9 8 7 6 5 4
Domain: 12, 15, 21, 30 Input, x Output, y
3 2 1 O
3
6
9 12 15 18 21 24 27 30 x
Determine whether the graph represents a function. 19.
y 4
20.
3 2 1
3 2 1 O
y 4
1
2
3
4 x
O
1
2
3
4 x
Algebra 1 Chapter 1 Assessment Book
15
Answers Pre-Test
52a. 10.5;
Number of States Visited
Multiple Choice
Stem
Short Response 1 38a. u 5 }a 8
37. 16.5h 1 40
0
2 2 3 3 4 4 6 7 8 9
1
2 5 8
2
0 0 1 6
3
0 2 5
ANSWERS
1. B 2. G 3. B 4. H 5. C 6. J 7. D 8. F 9. B 10. H 11. C 12. J 13. C 14. F 15. D 16. F 17. B 18. G 19. A 20. F 21. C 22. F 23. C 24. G 25. C 26. G 27. A 28. H 29. B 30. J 31. C 32. F 33. A 34. H 35. C 36. G
Leaves
Key: 1 | 5 = 15 states visited
52b. 50%; Number of States Visited
38b. u 9 8 7 6 5 4 3 2 1
0
8
2 4
12
16
10.5
20
24
28
32
20.5
36
35
Chapter 1 1
2
3
4
5
6
7
8
9 a
300 100 1 38c. 7} 39a. } 5t m 1} 4 m 1 2.5 39b. 6 minutes 36 seconds or 396 sec 40. 6186 ft 41. 240 min 42. 54% 43. 445 min 44a. l 5 0.25t 1 5
220 min
44b. u
Copyright © Holt McDougal. All rights reserved.
4
9 8 7 6 5 4 3 2 1
Quiz 1 1 1 1. 13 2. 6 3. 4 4. 16 5. 6 } 6. 4 } 2 2 1 7. sometimes 8. always 9. 10 1 } r 2 10. 2d 11. 19 2 t 12. p 1 b2
Quiz 2 1. 2d 1 3 5 12 2. 4j 2 6 5 18 3. 8q ≥ 32 4. 10 2 w ≤ 8 5. never 6. sometimes 7. no 8. yes 9. yes 10. no 11. $114 12. 60 mi/h
Quiz 3 1
2
3
4
5
6
7
8
9 a
1 1 45a. c ≥ } m; c ≤ 9 2 } m 2 2 c 9 8 7 6 5 4 3 2 1
1. no 2. yes y
3.
4.
5 4 3 2 1 ⫺2
O
1 2 3 4 5 6 x
⫺2 ⫺3
y 7 6 5 4 3 2 1 O
1 2 3 4 5 6 7 8 x
5. y 5 x 1 2 6. domain: 1, 2, 3, 4, 5 1
2
3
4
5
6
7
8
9 m
45b. Yes 46. x 5 24, y 5 3 47a. $113.17 47b. $101.92 48. No; (22)2 1 3(22) 5 4 1 (26) 5 22, not 210 49. 0.94 mile 50. b 5 3 51a. mean 5 2.6, median 5 2, mode 5 0 and 6 51b. The median; 6 of Benita’s 10 shots are
within 2 inches of the bull’s-eye.
7. range: 3, 4, 5, 6, 7 8. no 9. yes
Chapter Test A 1. 4 2. 27 3. 8 4. 6 5. 10 p 10 p 10 p 10 6. 2.6 p 2.6 p 2.6 7. n p n p n p n p n p n 8. 56 in. 9. 1 10. 4 11. 25 12. x 1 9
Algebra 1 Assessment Book
A1
Chapter 1, continued 13. 4d 14. 2b 1 3 5 13 15. 5k < 60 16. yes
24. function 25. not a function
17. no 18. no 19. yes 20. 22.5 mi 21. always
Chapter Test C 8 1. } 2. 12 3. 5 mi 4. 5 5. 23 6. 26 27 n 1 7. } 8. 50 cm2 9. 5(n 1 7) < } 3 2
Input, x
0
1
2
3
Output, y
1
3
5
7
10. 3(4 1 y 2) 5 14 2 y 11. sometimes
Range: 1, 3, 5, 7 26.
12. sometimes 13. no 14. yes 15. no 16. 2%
Input, x
0
2
4
6
Output, y
20
14
8
2
17. y 5 10 2 0.75x;
Range: 20, 14, 8, 2 Height (in feet)
27.
H 28 24 20 16 12 8 4 0
H 10 9 8 7 6 5 4 3 2 1 0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 t Number of books
0 1 2 3 4 5 6 t Time (in seconds)
18.
28. function 29. not a function
Chapter Test B 3 1 1. 138 2. } 3. 625 4. 1 5. } 6. 958F 10 32 7. 5 8. 33 9. 11 10. 25 11. 108 in.3
t2 k 12. } 13. 6(2 1 x) ≥ 45 14. 4 1 } 5 12 14 9 1 15. yes 16. yes 17. 18 } ft 18. always 2 x 19. always 20. y 5 2x 21. y 5 } 3 22. Range: 3, 3.5, 4, 4.5, 5
Input, x
12
15
21
30
Output, y
3
4
6
9
Range: 3, 4, 6, 9 y 9 8 7 6 5 4 3 2 1 O
3
6
9 12 15 18 21 24 27 30 x
19. not a function 20. function
y 6 5 4 3 2 1 ⫺4 ⫺3 ⫺2
O
Standardized Test A 1. B 2. D 3. A 4. A 5. C 6. B 7. C 8. D 9. C 10. B 11. A 12. D 13. B 14. C 1 2
3
4 x
⫺2
23. Range: 4, 6, 8, 10, 12 y 16 14 12 10 8 6 4 2 O
A2
2
4
6
8 10 12 14 16 18 x
Algebra 1 Assessment Book
15. A 16. A 17. D 18. 11 19 a. 2a 1 3g ≤ 25 b. 5 pounds of grapes c. no;
6 pounds of grapes and 3 pounds of apples cost $24, leaving me with only $1. x 20 a. y 5 }; domain: 2, 4, 6, 8, 10; range: 1, 2, 3, 2 4, 5
Copyright © Holt McDougal. All rights reserved.
25.
Amount left (in dollars)
ANSWERS
22. sometimes 23. function 24. not a function