Download ExamView - Final Exam_Review_2011.tst

Name: ________________________ Class: ___________________ Date: __________
ID: A
Final - Review Set I - Pre-Algebra - 7th Grade
Find the sum.
1. 23 + (−37) + 4
2. What is the value of 5 − x − (−y) when x = 7 and y = −2?
Find the product or quotient.
3. −5(14)
4. 5
8 ÊÁÁÁ 3 ˆ˜˜˜
÷ −
11 ÁÁË 4 ˜˜¯
The following temperatures were taken during a week in December in Nome, Alaska. What is the
mean temperature to the nearest degree?
5. −5°F, − 8°F, − 13°F, − 16°F, − 8°F, 11°F, 0°F
Evaluate the expression using mental math. Name the property or properties used.
6. (−15 • 5) • (−20)
Write an equivalent variable expression.
7. (2 − 12c)(−1)
Simplify the expression.
8. 5(n − 1) − 3n + 6
9. −
18m4 14m9
•
7
24
Solve the equation using mental math.
10. 64 = −8a
Solve the equation. Check your solution.
11. −2 = w − 19
12. −48 = −3y
1
Name: ________________________
13.
ID: A
t
= 14
31
14. 19z + 5 = −14
15. 7(12 − r) = −84
16. 7y + 11 − 12y = −19
Perform the indicated operation.
17. 15.12 ÷ (−2.8)
Write and solve an equation.
18. A bookstore offers three books in a set for $21.75. Each book costs the same amount. How much does each
book cost?
All three sides of the triangle have equal length. What is the perimeter?
19.
Solve the inequality.
20. 5 >
a
−2
21. You are selling magazine subscriptions for a school fundraiser. If you sell at least 75 subscriptions in 2 weeks
you win a prize. You sold 26 subscriptions in one week. What is the mean number of subscriptions you have
to sell per day to sell at least 75 total?
Plot the points listed below in the same coordinate plane. Describe any pattern you see in the graph.
22. (−3,−4), (−2,−2), (−1, 0), (0, 2), (1, 4), (2, 6)
For the given expression, identify the terms, like terms, coefficients, and constant terms. Then simplify
the expression.
23. x + 5 − 9 − 7x
2
Name: ________________________
ID: A
Solve the inequality. Then graph the solution.
24. n − 4 ≤ 0
25. w − 4(w + 5) < −8
26.
9c − 8 ≤ 3c + 16
Evaluate the expression when y = 24 and z = 8.
27.
y
z
Evaluate the power.
28. 1.54
Evaluate the expression.
È
˘
29. 40 ÷ ÍÍÎÍ (14 + 6) • 2 ˙˙˙˚
Evaluate the expression when r = 5 and s = 8.
30. (r + 2)2 − s
Order the integers from least to greatest.
31. −56,−102, 98,−58, 114
Find the greatest common factor of the monomials.
32. 12a2, 18ab
Write the fraction in simplest form.
33.
32a 2
36a 3
34. One serving of rice pilaf has 220 calories, including 35 calories from fat. One serving of soup has 70
calories, including 15 calories from fat. Write the calories from fat as a fraction of the total calories for each
food. Which food has a greater fraction of calories from fat?
Find the least common multiple of the monomials.
35. 5x2y, 21xy3
3
Name: ________________________
ID: A
Find the product or quotient. Write your answer using exponents.
36. 5n 7 • 6n
Find the product or quotient. Write your answer using exponents.
37.
2x 4 • 6x 7
21x 3
38. Write the decimal 0.375 as a fraction in simplest form.
Order the numbers from least to greatest.
39. 2
3 11
5
, , 2.32, , 2.25, 2
10 5
2
40. A quarter's width is about
15
11
inch. A dime's width is about
inch. How much wider is a quarter?
16
16
Find the sum or difference.
41.
5v 4v
+
3
5
42. You have hiked 2
1
miles of a 5 mile trail. How much farther must you hike?
10
Solve the equation.
43.
1
5 11
x− =
4
6 12
Solve the equation or inequality by first clearing the fractions or decimals.
44.
2 5
17
− k≥
3 2
30
45. −11 = 8.22w − 63.608
Write the rate as a unit rate.
46.
448 cycles
5 days
4
Name: ________________________
ID: A
Solve the proportion.
47.
48 x
=
36 6
48.
t−3 5
=
12
8
Use the fact that ∆NYC ∼ ∆LAX .
49. Find NC and LA.
50. A 20 foot flagpole stands beside a building. The flagpole casts a shadow that is 25 feet long. At the same
time, the building casts a shadow that is 60 feet long. How tall is the building?
51. The scale drawing of a rectangular park has a scale factor of 1 cm to 74 m. The drawing is 11 cm by 18 cm.
What are the actual dimensions of the park?
A box contains 9 tiles that together spell the word "TENNESSEE." You draw at random one tile from
the box. Find the probability of the event.
52. Drawing an E
53. You are asked to enter a 4-character password for a video game. The password must begin with a letter and
end with 3 digits. How many different passwords are possible if you can repeat digits?
Use the fact that ∆TOP ≅ ∆LID to complete the statement.
54. ∠T ≅ ___ ?
Find all the factors of the number.
55. 84
Write the prime factorization of the number.
56. 84
Find the new amount.
57. Decrease 650 by 21%.
5
Name: ________________________
ID: A
Use the given information to find the new amount.
58. Food bill: $38
Sales tax: 5%
Tell whether the ordered pair is a solution of the equation 12x + 3y = 21.
59. (2,−15)
Write the coordinates of two points on the line. Then find the slope of the line.
60.
Graph the relation. Then tell whether the relation is a function.
61.
x
y
–4
–1
–2
0
0
1
2
2
4
3
Graph the linear equation.
62. y = 8
Name the x- and y-intercepts. Then sketch a quick graph of the line.
63. 2x + y = 4
Find the slope and the y-intercept of the graph of the equation. Then graph the equation.
1
64. y =− x
4
Graph and check to solve the linear system.
65.
5x − 2y = 4
−x + 4y = −8
Write the percent as a decimal and as a fraction.
66. 8%
6
Name: ________________________
ID: A
Use a proportion to answer the question.
67. 44 is what percent of 80?
Write the fraction as a percent.
68.
7
18
Write the decimal as a percent.
69. 2.07
Use the percent equation to answer the question.
70. What number is 0.7% of 60?
Find values of m and b for which the system below has the given number of solutions.
y = 4x + 10
y = mx + b
71. None
72. Infinitely many
Tell whether each ordered pair is a solution of the system of linear inequalities.
ÊÁ 0, 2 ˆ˜ ;
Ë
¯
73.
y ≤ x+2
y < 3x + 6
Graph the inequality on the given coordinate grid.
74. 4x + 2y > 3
7
Name: ________________________
75. 5x − y ≤
ID: A
1
2
8
ID: A
Final - Review Set I - Pre-Algebra - 7th Grade
Answer Section
1. −10
2. −4
3. −70
7
4. −7
11
5. −6°F
6. 1500; commutative and associative properties of multipication
7. −2 + 12c
8. 2n + 1
3m13
2
−8
17
16
434
−1
24
6
−5.4
$7.25
96 units
a > −10
at least 7 subscriptions per day
Sample answer: The points rise from left to right and lie on a line.
9. −
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23. terms: x, 5,−9,−7x; like terms, x and−7x, 5 and−9; coefficients, 1 and−7; constant terms, 5 and−9;−6x−4
24. n ≤ 4;
25. w > −4;
1
ID: A
26. c ≤ 4;
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
3
5.0625
1
41
−102,−58,−56, 98, 114
6a
8
9a
35
245 15 330
=
;
=
; the soup
220 1540 70 1540
105x2y3
30n8
4x 8
7
3
8
11
3
5
2, , 2.25, 2 , 2.32,
5
10
2
1
inch
4
37v
15
9
2 miles
10
7
1
k≤
25
6.4
89.6 cycles
1 day
47. 8
1
2
NC = 4; LA = 15
48 feet
814 m by 1332 m
4
9
26,000
∠L
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
22 • 3 • 7
48. 10
49.
50.
51.
52.
53.
54.
55.
56.
2
ID: A
57.
58.
59.
60.
61.
513.5
$39.90
no
Sample answer: (0, 0), (1,−1);−1
yes: Every input is paired with exactly one output.
62. Answer:
63. x-intercept, 2; y-intercept, 4;
1
64. slope,− ; y-intercept, 0;
4
65. (0,−2)
3
ID: A
66. 0.08;
2
25
67. 55%
68.
69.
70.
71.
72.
73.
74.
38. 8%
207%
0.42
m = 4, b = any number other than 10
m = 4, b = 10
solution
Answer:
75. Answer:
4