Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.8: Proof In Algebra
Problem 3WE
Related questions
Question
Plz answer the multiple choices from 14 to 31.. I need the correct answer thank u..
![14. Solve for x from the expression below if b,c and y are unknowns. Given that a = 3, w-2, 2-7 and d=15
a'b = (wx) (yd)"
c) 2.5
a) 1.5
b) 1.0
15. Which of the following is a perfect number:
a) 496
b) 632
c) 694
d) 362
16. Let U=(1,2,3,4,5,6,7,8,9), A = (1,3,5,7,9) and B = (2,3,5, 6,8). Determine (ANB)'.
a) (1,2,4,6,7,8,9) b) (1,2,3,4,6,7,8,9)
c) {1,2,3,4,5,6,7,8) d) { 1,3,4,6,7,8,9)
17. Let U=(1,2,3,4,5,6,7,8,9), A = (1,3,5,7,9) and B = {2,3,5, 6,8). Determine A\B.
a) (1,7,9)
b) {1,8,9)
c) (1,7,8)
d) (3,7,9)
18. Find the quadric equation with roots 1 ±i and ±i.
a) x²-x² + 2x² - 2x + 2 b) x-2x³ + 3x²-x+2 c) 2x-2x² + 3x² - 2x + 2 d) x-2x² + 3x² - 2x + 2
19. Find the quadratic equation whose sum of the roots is 5 and whose product of the roots equal to 6.
a) x²-5x+6
b) x²-5x-6
c) xỉ+5X+6
d) x² + 5x--6
20. Determine the value of A + B + C in the partial fraction of
a) 2
c)-1
21. Solve for x if
a) -3 <x<4
b) x=-5, -3<x< 4
c)-4<x<-3
d) x = -5,-4 <x<3
22. In the expansion of (Ax+By ), find the value(s) of A if the sum of all numerical coefficients is 32 and the
product of A and B is -24.
a; 4
b) 6 and 4
c) 4 and 6
23. The second term in the expansion of (4x-y)" is Cx y. Find the value of C.
a) -1280
b) - 560
c) 120
d) 2560
24. Solve for x if +3+3
a) x2 - 2ux ≥ 2
x²+10x+25
x²-x-12
b) 5
≤ 0.
+7 2 12.
16
a) 87520 a¹ bª
b) x ≤ 1/3 Ux ²2/
5x²-25x+8
(3x+2)(x-3)²
4x4-7x³+5x²-x+1.
(2x-1)(x²-x+1)²
20. If one of the roots of ax² + bx+c = 0 is = +
3
a) 52
b) 61
31. Solve the inequality | 2x + 3) < 7.
a) (-5,2)
b) [-5,2]
d) 2.0
==
a) 5
b) 3
c) 4
d) 0
29. Using Maclaurin series, find the 5th term of the expansion of (a-2b )20.
b) 77542 a ¹6 b
d) 1
c) x ≤/Ux 2-1/
+
2x-1
Bx+C
x²-x+1
d) 2
25. Determine the value of A + B + C + E in
a) - 2
b) 0
c) 1
26. Find the term involving x y in the expansion of (x³ + 2y²)6.
a) 160 y
b) - 160 x³y
c) - 160 y
d) 160 x³y
27. A cat is now 50 of her own leaps ahead of a dog which is pursuing her. How many more leaps will the cat take
before it is overtaken if she takes 5 leaps while the dog takes 4, but 2 of the dogs leap are equivalent to 3 of the
cats leap.
16
c) 77520 a ¹6 b4
c) (-5,2]
a) 200
b) 220
c) 230
d) 250
28. What is the remainder upon dividing the sum of 1!+ 2! +3! +4! +51 ++2023! + 2024! by 6?
d)-8
+
d) x ≤u..
DX-TE
(x²-x+1)²
d) 97520 ab
i where a,b and c are integers, what is the value of t. ?
c) 59
d) - 61
d) (-5,2)
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Transcribed Image Text:14. Solve for x from the expression below if b,c and y are unknowns. Given that a = 3, w-2, 2-7 and d=15
a'b = (wx) (yd)"
c) 2.5
a) 1.5
b) 1.0
15. Which of the following is a perfect number:
a) 496
b) 632
c) 694
d) 362
16. Let U=(1,2,3,4,5,6,7,8,9), A = (1,3,5,7,9) and B = (2,3,5, 6,8). Determine (ANB)'.
a) (1,2,4,6,7,8,9) b) (1,2,3,4,6,7,8,9)
c) {1,2,3,4,5,6,7,8) d) { 1,3,4,6,7,8,9)
17. Let U=(1,2,3,4,5,6,7,8,9), A = (1,3,5,7,9) and B = {2,3,5, 6,8). Determine A\B.
a) (1,7,9)
b) {1,8,9)
c) (1,7,8)
d) (3,7,9)
18. Find the quadric equation with roots 1 ±i and ±i.
a) x²-x² + 2x² - 2x + 2 b) x-2x³ + 3x²-x+2 c) 2x-2x² + 3x² - 2x + 2 d) x-2x² + 3x² - 2x + 2
19. Find the quadratic equation whose sum of the roots is 5 and whose product of the roots equal to 6.
a) x²-5x+6
b) x²-5x-6
c) xỉ+5X+6
d) x² + 5x--6
20. Determine the value of A + B + C in the partial fraction of
a) 2
c)-1
21. Solve for x if
a) -3 <x<4
b) x=-5, -3<x< 4
c)-4<x<-3
d) x = -5,-4 <x<3
22. In the expansion of (Ax+By ), find the value(s) of A if the sum of all numerical coefficients is 32 and the
product of A and B is -24.
a; 4
b) 6 and 4
c) 4 and 6
23. The second term in the expansion of (4x-y)" is Cx y. Find the value of C.
a) -1280
b) - 560
c) 120
d) 2560
24. Solve for x if +3+3
a) x2 - 2ux ≥ 2
x²+10x+25
x²-x-12
b) 5
≤ 0.
+7 2 12.
16
a) 87520 a¹ bª
b) x ≤ 1/3 Ux ²2/
5x²-25x+8
(3x+2)(x-3)²
4x4-7x³+5x²-x+1.
(2x-1)(x²-x+1)²
20. If one of the roots of ax² + bx+c = 0 is = +
3
a) 52
b) 61
31. Solve the inequality | 2x + 3) < 7.
a) (-5,2)
b) [-5,2]
d) 2.0
==
a) 5
b) 3
c) 4
d) 0
29. Using Maclaurin series, find the 5th term of the expansion of (a-2b )20.
b) 77542 a ¹6 b
d) 1
c) x ≤/Ux 2-1/
+
2x-1
Bx+C
x²-x+1
d) 2
25. Determine the value of A + B + C + E in
a) - 2
b) 0
c) 1
26. Find the term involving x y in the expansion of (x³ + 2y²)6.
a) 160 y
b) - 160 x³y
c) - 160 y
d) 160 x³y
27. A cat is now 50 of her own leaps ahead of a dog which is pursuing her. How many more leaps will the cat take
before it is overtaken if she takes 5 leaps while the dog takes 4, but 2 of the dogs leap are equivalent to 3 of the
cats leap.
16
c) 77520 a ¹6 b4
c) (-5,2]
a) 200
b) 220
c) 230
d) 250
28. What is the remainder upon dividing the sum of 1!+ 2! +3! +4! +51 ++2023! + 2024! by 6?
d)-8
+
d) x ≤u..
DX-TE
(x²-x+1)²
d) 97520 ab
i where a,b and c are integers, what is the value of t. ?
c) 59
d) - 61
d) (-5,2)
P
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