Quiz Sec 1.4 -- 1.7
Math 1314
College Algebra
Spring 2016
Name : ____________________________________________________________________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the equation by using the square root property.
1) (3z - 18)2 + 58 = 40
1)
A) {40 + 3 2, -40 + 3 2}
B) {3 2 + 40}
C) {3 2 - 40}
D) {6 + i 2, 6 - i 2}
2) t -
15
12
=4
16
A) -
11
16
2)
B)
15
1
±
4
4
C)
15
1
±
i
4
4
D)
1 - i 15
4
Solve the quadratic equation by completing the square and applying the square root property.
3) u2 + 8u + 17 = 0
3)
A) {± i}
B) {4 + i}
C) {-4 + i}
D) {-4 ± i}
4) n2 + 12n = -17
A) {-6 -
C)
4)
19, -6 + 19}
B) {6 -
-12 - 127 -12 + 127
,
2
2
D) {-6 -
19, 6 + 19}
127, -6 + 127}
Use the discriminant to determine the type and number of solutions.
5) -2x2 + 4x + 2 = 0
A) Two rational solutions
B) Two irrational solutions
C) Two imaginary solutions
D) One rational solution
Solve the equation.
6) x2 (x2 - 1) = 20
A) {± 5,± 2i}
5)
6)
B) {±5,± 2i}
C) {±5i,± 2}
D) {±5,± 2}
7) 48x3 - 64x2 - 3x + 4 = 0
A)
4 1
,±
3 4
7)
B) -
4 1
,± i
3 4
C)
1
4
3
D)
3
, ±4
4
8)
2z
3
= -1
z-2 z+5
A)
37
5
±
3
3
3x + 5 = 3
31
A)
3
8)
B)
37
5
±
i
3
3
C) -
37
5
±
i
3
3
D) -
37
5
±
3
3
9) 3 +
10)
5
10z + 1 = 5 7z + 10
A) {0}
9)
B) 0
C)
5
3
D) -
5
3
10)
B) {-3}
C) {3}
D) {6}
Solve the equation by using substitution.
2
11) 3(t2 - 9) + 22(t2 - 9) = -7
A) ±
C) ±
11)
1
, ±7
3
78
i, ±i 2
3
B) ±
78
,± 2
3
D) -
1
, -7
3
Solve the inequality. Write the solution set in interval notation.
12) -2(7y - 7) + y > 2y - (-2 + y)
6
6
6
,
,
A)
B)
C) ,
7
7
7
12)
D)
Determine the union X Y. Express the answer in interval notation.
13) X = {x x > 18} and Y = {x x 1}
A) (- , 1] (18 )
B) (1, 18]
C) { }
D) [1, 18)
Solve the inequality. Write the solution set in interval notation.
and 16 + 2x 15
14) 26 > 3x
1 26
1
,A) - ,
B)
2 3
2
C) -
26 1
,
3 2
D) { }
2
5
,
7
13)
14)
26
3