jilliand2242
24.11.2019 •
Mathematics
1. solve this problem: –282 – (+1,017) = ? a. 735
b. –1,299
c. –735
d. 1,299
2. sue has a balance of $35 in her checking account. she writes one check for $10, and three checks for $9 each. what is her balance now?
a. –$2 b. $54 c. –$11 d. $18
3. solve this inequality: 3b – 7 < 32 a. b < 13
b. b < 5
c. b < 39
d. b < 8.33
4. simplify and solve this equation: 4m + 9 + 5m – 12 = 42. a. m = –5
b. m = 4
c. m = -4
d. m = 5
5. simplify this expression: 13 + (–12) – (–5) = ? a. 30
b. –30
c. –6
d. 6
6. if four times a number plus 3 is 11, what is the number?
a. 5 b. 2 c. 4 d. 16
7. solve the inequality: 12p + 7 > 139 a. p > 11
b. p > 154
c. p > 18
d. p > 12
8. solve the equation: 7x = 42. a. x = 7
b. x = 6
c. x = – 7
d. x = – 6
9. solve this inequality: 9h + 2 < –79. a. h < – 9
b. h < –10
c. h < 10
d. h < 9
10. given the formula d = abc, what is the formula for c? a. c = ab ÷ d
b. c = d ÷ ab
c. c = ad ÷ c
d. c = abd
11. solve this equation: y/9 + 5 = 0.
a. y = –5 b. y = –45 c. y = 45 d. y = 5
12. solve the equation: 12y = 132. a. y = 11
b. y = 11/12 c. y = 144 d. y = 1/11
13. simplify and solve this equation for q: 3q + 5 + 2q – 5 = 65. a. q = 23
b. q = 11
c. q = 15
d. q = 13
14. given the formula k = lmn, what is the formula for m? a. m = k/ln
b. m = ln/k c. m = kl/n
d. m = lnk
15. solve the equation: h/9 = 7. a. h = 1 2/7
b. h = –63 c. h = 63
d. h = 7/9
16. simplify this expression: 4p + 9 + (–7p) + 2 = ? a. 11p + 11
b. 3p + 11
c. –3p + 11
d. 3p + 7
17. find the value of y in this equation: 16y = 164. a. 32
b. 180
c. 10 1/4
d. 16 1/4
18. solve this equation: 4y + 228 = 352. a. y = 145
b. y = – 31
c. y = 3
d. y = 31
19. given the formula e = ir what is the formula for r? a. r = i ÷ e
b. r = ie
c. r = ei d. r = e ÷ i
20. solve the following equation: 6y – 20 = 2y – 4. a. y = 3
b. y = 4
c. y = 16
d. y = 2
Solved
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Ответ:
The correct answers are:
(1) (Option B) -1299
(2) (Option A) -2
(3) (Option A) b < 13
(4) (Option D) m = 5
(5) (Option D) 6
(6) (Option B) 2
(7) (Option A) p > 11
(8) (Option B) x = 6
(9) (Option A) h < –9
(10) (Option B) C = D ÷ AB
(11) (Option B) y = –45
(12) (Option A) y = 11
(13) (Option D) q = 13
(14) (Option A) M = K/LN
(15) (Option C) h = 63
(16) (Option C) –3p + 11
(17) (Option C)
(18) (Option D) y = 31
(19) (Option D) R = E ÷ I
(20) (Option B) y = 4
Explanations:
(1) The Given Expression:
-282 - (+1017)
= -282 - 1017
= -1299 (Option B)
(2) The total balance = $35
One check = $10
Three checks = 3 * $9 = $27
Balance now = Total balance - One check + Three check = $35 - $10 - $27 = -2 (Option A)
(3) The given expression:
3b – 7 < 32
Add 7 on both sides:
3b -7 + 7 < 32 + 7
3b < 39
Divide by 3 on both sides:
b < 13 (Option A)
(4) The given expression:
4m + 9 + 5m – 12 = 42
9m = 42 + 12 - 9
9m = 45
Divide both sides with 9:
The correct answer is m=5 (Option D)
(5) The given expression:
13 + (–12) – (–5)
= 13 - 12 + 5
= 6 (Option D)
(6) Mathematically, we can write "four times a number plus 3 is 11" as:
4x + 3 = 11
Where,
x = The number we require
4x = 11 - 3
4x = 8
x = 2 (Option B)
(7) The given expression:
12p + 7 > 139
Subtract 7 on both sides:
12p + 7 - 7 > 139 -7
12p > 132
Divide 12 on both sides:
p > 11 (Option A)
(8) The given equation:
7x = 42
Divide the equation with 7 on both sides:
x = 6 (Option B)
(9) The given expression:
9h + 2 < –79
Subtract 2 on both sides:
9h + 2 - 2 < -79 - 2
9h < -81
h < -9 (Option A)
(10) The given equation:
D = ABC
Now divide both sides with AB on both sides:
Hence C = D ÷ AB (Option B)
(11) Given equation:
Subtract 5 on both sides:
y = -5*9 = -45
y = -45 (Option B)
(12) Given equation:
12y = 132
Divide both sides by 12:
y = 11 (Option A)
(13) The given equation:
3q + 5 + 2q – 5 = 65
5q = 65
Divide both sides with 5 and simplify:
q = 13 (Option D)
(14) Given formula:
K = LMN
To find M, divide both sides with LN:
Hence the correct answer is (Option A)
(15) Given formula:
h/9 = 7
Multiply both sides with 9:
h = 7 * 9
h = 63 (Option C)
(16) Given expression:
4p + 9 + (-7p) + 2
4p + 9 -7p +2
-3p + 11 (Option C)
(17) The given formula:
16y = 164
Divide both sides with 16:
Hence the correct answer is (Option C)
(18) Given equation:
4y + 228 = 352
Subtract both sides with 228:
4y + 228 - 228 = 352 - 228
4y = 124
Divide both sides by 4 and simplify:
y = 31 (Option D)
(19) The given formula:
E = IR
To find R, divide both sides with I:
R = E ÷ I (Option D)
(20) Given equation:
6y - 20 = 2y - 4
=> 6y - 2y = -4 + 20
=> 4y = 16
Divide both sides with 4 and simplify:
y = 4 (Option B)
Ответ:
2. 35 - (10 + 3(9)) = 35 - (10 + 27) = 35 - 37 = -2
3. 3b - 7 < 323b < 32 + 73b < 39b < 39/3b < 13
4. 4m + 9 + 5m - 12 = 429m - 3 = 42...9m = 42 + 39m = 45m = 45/9...m = 5
5. 3 + (-12) - (-5) = 3 - 12 + 5 = 8 - 12 = -4
6. 4 times a number plus 3 is 114x + 3 = 11...4x = 11 - 34x = 8...x = 8/4x = 2
7. 12p + 7 > 139...12p > 139 - 712p > 132p > 132/12p > 11
8. 7x = 42...x = 42/7x = 6
9. 9h + 2 < -799h < -79 - 2...9h < -81h < -81/9...h < - 9
10. D = ABCC = D/AB
11. y/9 + 5 = 0...y/9 = -5y = -5*9...y = -45
12. 12y = 132y = 132/12...y = 11
13. 3q + 5 + 2q - 5 = 655q = 65q = 65/5q = 13
14. K = LMNM = K/LN
15. h/9 = 7h = 7*9...h = 63
16. 4p + 9 + (-7p) + 2 = 4p + 9 - 7p + 2 = -3p + 11
17. 16y = 164...y = 164/16...y = 10.25 or 10 1/4
18. 4y + 228 = 352...4y = 352 - 228...4y = 124y = 124/4...y = 31
19. E = IRR = E/I
20. 6y - 20 = 2y - 46y - 2y = -4 + 204y = 16...y = 16/4y = 4
Ответ:
number 1 greater-than negative 21 and one-third
Step-by-step explanation: