25 college algebra multiple choice problem. I need the answers with the solutions step by step please..
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1)
Solve the equation by the zero factor property.
1) 10×2 + 27x + 18: 0
6 31
B)
5 2
A) { $
3
2
D)
63
2
Use the square root property to solve the equation.
2) (x+ 9)2: 49
A) (16, 2}
B) { 16, 2}
2)
C) { 2}
D) { 58}
3)
3) (5x. 1)2: 5
[115
A)
(113)
B) {1 +15)
1+ V5
C) +
D) +
4)
Solve the equation using the quadratic formula.
4) 4×2: · 8x: 1
2013)
2 +15
A)
B)
2
ܩܒܼܵܐ}ܟ
o{2300
C
8+13
2
Use the discriminant to determine the number of distinct solutions and whether they are rational, irrational, or nonreal
complex.
5) 2. 55+ 4: 0
5)
A) One rational solution (a double solution)
B) Two distinct rational solutions
C) Two distinct irrational solutions
D) Two distinct nonreal complex solutions
6)
6) t2. 8t+ 16: 0
A) Onerational solution (a double solution)
C) Two distinct irrational solutions
B) Two distinct rational solutions
D) Two distinct nonreal complex solutions
7)
7) 9×2. 12x + 4: 0
A) One rational solution (a double solution)
C) Two distinct irrational solutions
B) Two distinct rational solutions
D) Two distinct nonreal complex solutions
Decide what values of the variable cannot possibly be solutions for the equation.
1 1
8)
: 10
X: 5 X+ 9
8)
A): 9,5
B)
1 1
5’9
C)
1 1
9’5
D) 5,9
Solve the equation.
2 5
9)
X+ 9 X+ 2
3
+
.
9)
x2+ 11x + 18
44
A)
46
7
B)
C). 1
D) 0
5
1
10)
10) x: 7: 5: x
A)2, 9}
B) 9}
C) 2}
D) 9, 18}
11)
11) 6×2/54 16×1/5+ 8: 0
2)
2,
3
A^{
32,
32
243
c{
32
32,
243
D) 2,3}
12)
12) (3x- 6)2 + 5(3x: 6) + 4: 0
17 10
A)
3′ 3
15 2
B)
3′ 3
c {
7 10
6′ 3
D)
3’3
Solve and graph the inequality. Give answer in interval notation.
13) 19< · 5x + 4s 39
13)
+++
+++
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
4 5 6 7
A) (7, 3]
B) (3,7]
+++ ++
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
++++++++++
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
C) [7.3)
D) [3, 7)
{++++
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0
1 2 3
4 5 6 7
14). 15*1753
14)
十十十十十十十十十
-7 -6 -5 -4 -3 -2 -1 0 1
++
2 3 4 5 6 7
A) [5, 3]
B) [1, 7]
t>
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
C) (7, 1)
++++
-7 -6 -5 -4 -3 -2 -1 0 1
2 3 4 5 6 7
D) [35]
+
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
}
++++++
子++
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Solve the quadratic inequality. Write the solution set in interval notation.
15) xx.x+ 18:0
A) ( o, 3)
B) (o, 3) u(6, c) C) (3, 6)
15)
D) (6, )
16)
16) x2.4.21
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