Download ExamView - Unit 4_Exam_Final_Review_12

Name: ________________________ Class: ___________________ Date: __________
ID: A
Final - Review Set I - Pre-Algebra - 7th Grade
12. −48 = −3y
Find the sum.
1. 23 + (−37) + 4
13.
2. What is the value of 5 − x − (−y) when x = 7 and y
= −2?
14. 19z + 5 = −14
15. 7(12 − r) = −84
Find the product or quotient.
3. −5(14)
4. 5
t
= 14
31
16. 7y + 11 − 12y = −19
8 ÊÁÁÁ 3 ˆ˜˜˜
÷ −
11 ÁÁË 4 ˜˜¯
Perform the indicated operation.
17. 15.12 ÷ (−2.8)
The following temperatures were taken during a
week in December in Nome, Alaska. What is the
mean temperature to the nearest degree?
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?
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.
All three sides of the triangle have equal length.
What is the perimeter?
6. (−15 • 5) • (−20)
Write an equivalent variable expression.
7. (2 − 12c)(−1)
19.
Simplify the expression.
Solve the inequality.
8. 5(n − 1) − 3n + 6
20. 5 >
18m4 14m9
9. −
•
7
24
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?
Solve the equation using mental math.
10. 64 = −8a
Solve the equation. Check your solution.
11. −2 = w − 19
1
Name: ________________________
ID: A
Write the fraction in simplest form.
Plot the points listed below in the same
coordinate plane. Describe any pattern you see
in the graph.
33.
22. (−3,−4), (−2,−2), (−1, 0), (0, 2), (1, 4), (2, 6)
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?
For the given expression, identify the terms, like
terms, coefficients, and constant terms. Then
simplify the expression.
23. x + 5 − 9 − 7x
Solve the inequality. Then graph the solution.
Find the least common multiple of the
monomials.
24. n − 4 ≤ 0
35. 35x2, 21x
25. w − 4(w + 5) < −8
26.
Find the product or quotient. Write your
answer using exponents.
9c − 8 ≤ 3c + 16
36. 5n 7 • 6n
Evaluate the expression when y = 24 and z = 8.
27.
32a 2
36a 3
Find the product or quotient. Write your
answer using exponents.
y
z
Evaluate the power.
37.
2x 4 • 6x 7
21x 3
28. 1.54
38. Write the decimal 0.375 as a fraction in simplest
form.
Evaluate the expression.
È
˘
29. 40 ÷ ÍÍÍÎ (14 + 6) • 2 ˙˙˙˚
Order the numbers from least to greatest.
39. 2
Evaluate the expression when r = 5 and s = 8.
3 11
5
, , 2.32, , 2.25, 2
10 5
2
30. (r + 2)2 − s
40. A quarter's width is about
Order the integers from least to greatest.
is about
31. −56,−102, 98,−58, 114
32.
11
inch. How much wider is a quarter?
16
Find the sum or difference.
Find the greatest common factor of the
monomials.
12a2,
15
inch. A dime's width
16
41.
18ab
2
5v 4v
+
3
5
Name: ________________________
ID: A
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?
1
miles of a 5 mile trail. How
10
much farther must you hike?
42. You have hiked 2
Solve the equation.
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.
1
5 11
43.
x− =
4
6 12
Solve the equation or inequality by first clearing
the fractions or decimals.
52. Drawing an E
2 5
17
− k≥
3 2
30
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?
44.
45. −11 = 8.22w − 63.608
Use the fact that ∆TOP ≅ ∆LID to complete the
statement.
Write the rate as a unit rate.
46.
54. ∠T ≅ ___ ?
448 cycles
5 days
Find all the factors of the number.
Solve the proportion.
47.
55. 84
48 x
=
36 6
Write the prime factorization of the number.
56. 84
t−3 5
48.
=
12
8
Find the new amount.
Use the fact that ∆NYC ∼ ∆LAX .
57. Decrease 650 by 21%.
Use the given information to find the new
amount.
58. Food bill: $38
Sales tax: 5%
49. Find NC and LA.
Tell whether the ordered pair is a solution of the
equation 12x + 3y = 21.
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?
59. (2,−15)
3
Name: ________________________
ID: A
Write the coordinates of two points on the line.
Then find the slope of the line.
Write the fraction as a percent.
68.
7
18
Write the decimal as a percent.
69. 2.07
60.
Use the percent equation to answer the question.
Graph the relation. Then tell whether the
relation is a function.
70. What number is 0.7% of 60?
61.
x
y
–4
–1
–2
0
0
1
2
2
Find values of m and b for which the system
below has the given number of solutions.
4
3
y = 4x + 10
Graph the linear equation.
y = mx + b
62. y = 8
71. None
Name the x- and y-intercepts. Then sketch a
quick graph of the line.
72. Infinitely many
63. 2x + y = 4
Tell whether each ordered pair is a solution of
the system of linear inequalities.
Find the slope and the y-intercept of the graph
of the equation. Then graph the equation.
ÊÁ 0, 2 ˆ˜ ;
Ë
¯
73.
1
64. y =− x
4
y < 3x + 6
Graph and check to solve the linear system.
65.
y ≤ x+2
Graph the inequality on the given coordinate
grid.
5x − 2y = 4
74. 4x + 2y > 3
−x + 4y = −8
Write the percent as a decimal and as a fraction.
66. 8%
Use a proportion to answer the question.
67. 44 is what percent of 80?
4
Name: ________________________
75. 5x − y ≤
ID: A
1
2
5
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