Name _________________________________________
Date ____________________
Cumulative Test 1
Evaluate the expression.
2
Answers
2. 4 • 5 – 18
2
4. [(5 + 3)2 – 31]
3
6. 9x2 – 4 when x = 3
2
1. 7 + 6 ÷ 3
3. 4[32 – (17 – 12) ]
2
5. 3(5m – 4) when m = –2
Write an algebraic expression, an equation, or an inequality.
7. The sum of 5 times a number x and 17
8. The difference of 21 and the product of 5 and a number y is less than 7.
9. The quotient of 75 and the quantity of a number z and 2 is 25.
Check whether the given number is a solution of the equation
or inequality.
10. 5c – 13 = 12; 2
11. 21 – 2d < 7; 6
12. A family goes to an amusement park. Adult tickets cost $21.
Children under 10 years of age pay $15. Write an algebraic
expression for the total cost. Then find the total cost of 4 adult tickets
and 3 children’s tickets.
1. _____________
2. _____________
3. _____________
4. _____________
5. _____________
6. _____________
7. _____________
8. _____________
9. _____________
10. _____________
11. _____________
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
12. _____________
18. Order the numbers from least to greatest: – 1.6,
Solve the equation.
m
19.
=8
6
n
21. 9 – = 28
3
23. 4h – 13 = 7h + 2
4 , 0, 3.1, – 5 .
18. _____________
20. 17 = 4x – 7
22. 16w – 10w + 13 = –5
24.
2
3
(25z – 30) = (12z + 16)
5
4
19. _____________
20. _____________
21. _____________
22. _____________
The perimeter P of a rectangle is given by the formula
P = 2ℓ + 2w where ℓ is the length and w is the width.
23. _____________
25. Solve the formula for ℓ.
24. _____________
26. Use the rewritten formula to find the length of a rectangle with a
width of 9 inches and a perimeter of 40 inches.
25. _____________
26. _____________
Name _________________________________________
Cumulative Test 1
Date ____________________
continued
Solve the proportion.
27.
x
12
=
8
32
28.
Answers
12
36
=
3w
63
29.
21 3k  2
=
5
15
27. _____________
28. _____________
29. _____________
Write the equation so that y is a function of x.
32. 5x = –10y + 30
31. _____________
Find the slope of the line that passes through the points.
32. _____________
34. (–2, –9) and (–5, 6)
33. _____________
33. (–7, 3) and (3, 8)
Identify the slope and y–intercept of the line with the given
equation.
35. y = –
4
x+9
5
36. 4x – 7y = 21
1
y=0
5
38. 3y = 5 – 4x
1
x–5
4
38. _____________
40. _____________
40. 2x + 5y = 20
41. The price p (in dollars) varies directly with the number of admissions
to a museum. The museum charges $12 for 5 student admissions.
Write a direct variation equation that relates p and a. Then find the
total admission price for 30 students.
Algebra 1
Assessment Book
37. _____________
39. _____________
Graph the equation.
39. y =
35. _____________
36. _____________
Tell whether the equation represents direct variation. If so,
identify the constant of variation.
37. 2x –
34. _____________
41. _____________
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
31. –12x + 3y = 15
Name _________________________________________
Cumulative Test 1
Date ____________________
continued
42. Graph the function h(x) = x – 4.
Compare the graph with the graph
of f(x) = x.
Answers
42. _____________
_____________
_____________
_____________
_____________
Write an equation in slope-intercept form of the line with the
given characteristics.
43. _____________
43. slope 3; y-intercept 5
45. passes through (3, 2)
and (–5, –8)
3
47. slope – ; y-intercept 1
2
44. m = –2; passes through (–1, 5)
46. perpendicular to y = –3x + 1;
passes through (2, 2)
44. _____________
48. m = 4; passes through (–3, –2)
46. _____________
49. passes through (–2, 4)
50. parallel to y =
3
1
x– ;
5
5
passes through (–2, 0)
and (–5, 7)
51. Write an equation in standard form of the line shown.
45. _____________
47. _____________
48. _____________
49. _____________
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
50. _____________
51. _____________
52. _____________
_____________
52. Make a scatter plot of the data in the table below. Draw a line of fit.
And then write an equation of the line.
x
0
3
6
9
12
y
–2
8
14
24
36
Algebra 1
Assessment Book
Name _________________________________________
Cumulative Test 1
Date ____________________
continued
Solve the inequality, if possible. Graph your solution.
53. x + 5.1 ≥ 9.4
54.
x
< –3
7
Answers
53. _____________
_____________
54. _____________
55. 5 + 2x ≤ –4x + 23
54. –5 < 3x + 1 < 4
_____________
55. _____________
57. –2x > 9 or 4x + 7 > 9
58. | x + 1| – 3 > 8
_____________
56. _____________
_____________
Solve the equation, if possible.
59. 3| x – 2 | + 2 = 17
57. _____________
60. 7| 4x + 2 | + 6 = 4
_____________
58. _____________
_____________
59. _____________
60. _____________
61. _____________
Solve the linear system.
62. 2x + 5y = –16
6x + y = –20
64. 5x + 3y = 19
2y = 5x + 21
_____________
63. 7x + 4y = 26
3x – 8y = –18
65. 3x – 9y = 3
5x – 8y = 12
Tell whether the linear system has one solution, no solution,
or infinitely many solutions.
66. 4x – 3y = 6
67. 3x + 7y = 8
8x = 6y + 10
21y = –9x + 24
68. Graph the system of linear inequalities.
4
y> x–2
7
y < 3x + 4
Algebra 1
Assessment Book
_____________
62. _____________
63. _____________
64. _____________
65. _____________
66. _____________
67. _____________
68. _____________
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
61. The sum of the weight w (in pounds)
of passengers p and gear g in a canoe
can be no more than 500 pounds.
Write and graph an inequality that
describes the possible weights of the
people and the gear. Identify and
interpret one of the solutions.
Name _________________________________________
Date
____________________
Cumulative Test 2
Simplify the expression. Write your answer using exponents.
1. (–2)2(–2)(–2)5
2. (63)5
3.
Answers
411
47
1. _____________
2. _____________
Simplify the expression.
1
4. 8
5
2
 3
6.   
 r
2
5. (4m n)
3. _____________
3
4. _____________
Simplify the expression. Write your answer using only
positive exponents.
 2x 2 
7.  3 
 yz 
2
5. _____________
6. _____________
2
1 
3ab
8.   • 2
c
 2a 
–2
9. (6m) • (2m )
3 4
7. _____________
8. _____________
9. _____________
12. _____________
13. _____________
Find the sum or difference.
14. _____________
12. (5x2 – 11x + 9) + (7x – 13 – 3x2)
15. _____________
13. (4x2 – x + 7) – (6x3 + x2 – 5x + 8)
16. _____________
14. (3x3 + 7x2 – 5x + 3) + (x3 – 3x)
17. _____________
15. (17y2 – 6y + 5) – (11y2 – 2y + 8)
18. _____________
Find the product.
19. _____________
16. (9r + 3)(2r – 1)
17. (7t + 2)(t – 5t – 3)
18. (3a – 5b)
19. (9z + 2)(9z – 2)
2
2
Factor the polynomial.
20. _____________
21. _____________
22. _____________
20. x + 10x + 21
21. 4y + 23y – 6
22. 5x2 + 20x + 20
23. x2 – 121
24. _____________
24. –14n2 – 17n + 6
25. t3 + 2t2 – 9t – 18
25. _____________
2
2
23. _____________
Algebra 1
Assessment Book
Name _________________________________________
Cumulative Test 2
Date ____________________
continued
Solve the equation.
Answers
26. x2 + x – 56 = 0
27. z2 + 169 = 26z
26. _____________
28. 11n2 + 21n = 2
29. r3 = 36r
27. _____________
28. _____________
Solve the equation.
36. x2 – 225 = 0
29. _____________
37. 81x2 – 18 = 7
36. _____________
37. _____________
Solve the system of equations using the substitution method.
40. y = x2 + 2x – 1
y = –2x – 4
41. y = 2x2 – 5
y = 11 – 4x
40. _____________
41. _____________
In Exercises 44–46, use the following information.
A typing class has a contest to determine who can correctly type the most
words per minute. The students’ scores are: 28, 28, 31, 38, 42, 42, 42, 46,
51, 53, 55, 57, 58.
44. What is the range of the typing scores?
45. Make a stem-and-leaf plot of the scores.
46. Make a box-and-whisker plot of the scores.
Answers
44. _____________
45. _____________
46. _____________
Name _________________________________________
Cumulative Test 2
Date
____________________
continued
For Exercises 47 and 48, use the following information.
Answers
There are a total of 28 juniors and seniors taking physics this semester and
a total of 45 juniors and seniors taking trigonometry. No one is taking both
courses.
47. _____________
48. _____________
47. If there are twice as many seniors taking trigonometry as there are
juniors taking the course, how many seniors are taking trigonometry
this semester?
53. _____________
48. If 18 seniors are taking physics this semester, how many juniors are
taking either physics or trigonometry?
54. _____________
55. _____________
56. _____________
In Exercises 53 and 54, use the following information.
57. _____________
A box contains 6 blue markers, 8 black markers, and 4 green markers.
You randomly choose 2 markers, one at a time.
54. Find the probability that you choose a black marker and then a green
marker if you do not replace the first marker.
In Exercises 55 and 56, find the indicated probability. State
whether A and B are disjoint events.
55. P(A) = 0.35
56. P(A) = 0.42
P(B) = 0.77
P(B) = ?
P(A or B) = 0.92
P(A or B) = 0.74
P(A and B) = ?
P(A and B) = 0
57. Events A and B are dependent. If P(A) = 0.7 and P(A and B) = 0.35,
what is P(B|A)?
Algebra 1
Assessment Book
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
53. Find the probability that you choose a black marker and then a green
marker if you replace the first marker.
Answers for Cumulative Test 1
1. 19
2. 82
7. 5x + 17
3. 28
4. 22
8. 21 – 5y < 7
5. –42 6. 77
75
9.
= 25
z2
10. solution
11. not a solution
12. 21a + 15c; $129
18.  5,  1.6, 0, 4, 3.1
19. –48
21. –57
22. –3 23. –5 24. 24
P  2w
25. ℓ =
26. 11 in. 27. 3 28. 7 29. 3
2
31. y = 4x + 5
1
1
32. y = – x + 3
33.
34. –5
2
2
4
4
35. m = – , b = 9
36. m = , b = –3
5
7
37. yes; 10
38. no
39.
40.
20. 6
41. p = 2.4a; $72
42.
Because the graph of h(x) and f(x) have the same
slope, m = 1, the lines are parallel. Also, the
y-intercept of the graph of h is 4 less than the
y-intercept of the graph of f.
43. y = 3x + 5
44. y = –2x + 3
5
7
1
4
45. y = x –
46. y = x +
4
4
3
3
3
47. y = – x + 1
48. y = 4x + 10
2
3
6
49. y = –x + 2
50. y = x +
5
5
51. 3x – 2y = 5
52.
Sample answer: y = 3x – 2
53. x ≥ 4.3
54. x > 21
55. x ≤ 3
56. –2 < x < 1
57. x < –4.5 or x > 0.5
58. x > 10 or x < –12
59. –3, 7
60. no solution
61. p + g ≤ 500;
62. (–3, –2)
65. (4, 1)
solutions
68.
Answers will vary.
63. (2, 3)
64. (–1, 8)
66. no solution
67. infinitely many
Answers for Cumulative Test 2
1. (–2)8
27
r3
2. 615
3. 44
4. 58
5. 16m4n2
4z 6
4m10
3b
8.
9.
4 ac 2
9
x4 y 2
2
3
2
12. 2x – 4x – 4 13. –6x + 3x + 4x – 1
14. 4x3 + 7x2 – 8x + 3 15. 6y2 – 4y – 3
16. 18r2 – 3r – 3 17. 7t3 – 33t2 – 31t – 6
18. 9a2 – 30ab + 25b2 19. 81z2 – 4
20. (x + 3)(x + 7) 21. (4y – 1)(y + 6)
22. 5(x + 2)2 23. (x + 11)(x – 11)
24. (–7n + 2)(2n + 3) 25. (t + 3)(t – 3)(t + 2)
1
26. –8, 7 27. 13 28.
, –2 29. –6, 0, 6
11
5
36. ±15
37. ±
40. (–3, 2) and (–1, –2)
9
41. (2, 3) and (–4, 27)
44. 30
45. Typing Scores Key: 2 | 8 = 28
288
318
42226
513578
46.
6.
7.
47. 30 48. 25
8
16
53.
54.
55. 0.2; not disjoint
81
153
56. 0.32; disjoint 57. 0.5