algebra part 1

I’m trying to study for my Algebra course and I need some help to understand this question.

Question 1 (5 points)

Solve the equation.

Question 1 options:

Question 2 (5 points)

Factor the polynomial.

b
2 + 4
b + 4

Question 2 options:
 (b – 2)2 (b – 2)(b + 2) (b + 2)2 b(b + 4)

Question 3 (5 points)

Find the product.

(–7
t – 5
v)(–4
t – 3
v)

Question 3 options:
 28t2 + 15v2 28t2 + 41tv + 15v2 –11t – 8v 28t2 – 41tv + 15v2

Question 4 (5 points)

Find the product.

(4
c + 7)
2

Question 4 options:
 16c2 + 56c + 49 16c2 + 49c + 49 16c2 + 49 8c + 14

Question 5 (5 points)

Factor the polynomial, if possible. If the polynomial cannot be factored, write prime.

9
n
3 + 27
n
2 – 25
n – 75

Question 5 options:
 (n + 3)(3n + 5)(3n – 5) (9n – 3)(n + 5)(n – 5) (9n – 25)(n + 3)(n – 3)

Question 6 (5 points)

Solve the equation.

Question 6 options:

Question 7 (5 points)

Find the product.

–2
s
4
t
2(–3
s
5
t
4 – 8
st
3 – 5
t)

Question 7 options:
 6s20t8 + 16s4t6 + 10s4t2 6s9t6 + 16s5t5 + 10s4t3 6s9t6 + 16s5t5 + 10t3 –6s9t6 – 16s5t5 – 10s4t3

Question 8 (5 points)

Solve the equation.

Question 8 options:

Question 9 (5 points)

Find the sum or difference.

(2
a – 4
a
2) – (–8
a – 6)

Question 9 options:
 4a2 + 10a + 6 –4a2 + 10a – 6 –4a2 + 10a + 6 –4a2 + 6a + 6

Question 10 (5 points)

Find the product.

(
b + 4)
2

Question 10 options:
 b2 + 8b + 16 b2 + 16 b2 + 16b + 16 2b + 8

Question 11 (5 points)

Factor the polynomial.

8
g + 16
h

Question 11 options:
 8(0g + 2h) 0(8g + 2h) 8h(0g + 2) 2(0g + 8h)

Question 12 (5 points)

Factor the polynomial.

18
j
2
k – 30
j
5
k
5 + 54
j
3

Question 12 options:
 6j2(30k – 5j3k5 9j) 6(3j2k – 5j5k5 9j3) 6j2k(30 – 5j3k4 9j) 3j2(30k – 5j3k5 9j)

Question 13 (5 points)

Factor the polynomial, if possible. If the polynomial cannot be factored, write prime.

100
v
2 – 324

Question 13 options:
 4(9v + 5)(9v – 5) 4(5v + 9)(5v – 9) (5v + 9)(5v – 9)

Question 14 (5 points)

Find the product.

–5
r
3(2
r
2 – 3
r – 5)

Question 14 options:
 –10r5 – 15r4 – 25r3 –10r5 + 15r4 + 25r3 10r5 – 15r4 – 25r3 –10r6 + 15r3 + 25r3

Question 15 (5 points)

Factor the trinomial, if possible. If the trinomial cannot be factored using integers, write prime.

5
t
2 + 14
t + 8

Question 15 options:
 (5t + 4)(t + 2) (5t + 10)(t + 4) (5t – 4)(t – 2) 0prime000

Question 16 (5 points)

Find the product of each sum and difference.

(2
c + 8)(2
c – 8)

Question 16 options:
 4c2 – 64 4c2 + 16c – 64 4c 4c2 + 64

Question 17 (5 points)

Find the product.

(–5
k + 5)(–5
k
2 + 2
k – 8)

Question 17 options:
 –5k2 – 3k – 3 25k3 – 35k2 + 50k – 40 –25k3 – 35k2 – 30k – 40 –5k2 – 10k – 40

Question 18 (5 points)

Find the product.

(7
r – 8)
2

Question 18 options:
 49r2 – 112r + 64 49r2 + 64 49r2 – 112r – 64 49r2 – 64r + 64

Question 19 (5 points)

Find the product.

(6
m
2 – 5
m + 4)(–4
m
2 – 3
m – 7)

Question 19 options:
 2m2 – 8m – 3 –24m4 + 2m3 – 43m2 + 23m – 28 –24m2 + 15m – 28 –24m4 – 38m3 – 73m2 – 47m – 28

Question 20 (5 points)

Factor the polynomial.

4
m
4 + 36
m
3 + 96
m
2 + 80
m

Question 20 options:
 m(m + 5)(2m – 4)2 m(m + 5)(2m + 4)2 m(m + 5)(2m + 4)(2m – 4) (m2 + 5m)(2m + 4)2

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