Download math 1314 test 2 review

MATH 1314
TEST 2 REVIEW
Use the square root property to find all real or
imaginary solutions to the equation.
1) (x - 15) 2 = 36
12)
5
8
2
=
m - 2 m + 2 m2 - 4
Answer: {8}
Answer: 9, 21
13)
2) (x + 16) 2 = - 2
Answer: -16 ± i 2
y
y2 - 13y + 36
+
y
y2 - 16
=
y
y2 - 5y - 36
Answer: { 1 , 0}
Find the real or imaginary solutions by completing the
square.
3) a 2 - 4a - 5 = 0
Solve the radical equation, and check all proposed
solutions.
14) 14x - 7 = x + 3
Answer: {5, -1}
Answer: {4}
4) x 2 + 4x + 13 = 0
15) 3x + 1 = 3 + x - 4
Answer: {-2 ± 3i}
Answer: {5, 8}
5) 7x 2 + 5x - 2 = 0
Answer:
2
, -1
7
16)
3
7x + 21 =
3
x+3
Answer: {-3, 4}
Find the real or imaginary solutions by using the
quadratic formula.
6) 5x 2 - 35x + 50 = 0
Solve the radical equation, and check all proposed
solutions.
Answer: {2, 5}
17) 1 + 10 x = 1 + x
Answer: {0, 64}
7) x 2 = 5 - 8x
Solve and check the equation.
18) (x + 7) 3/2 = 8
Answer: {-4 ± 21}
Solve by factoring.
8) x 3 - 3x 2 - 49x + 147 = 0
Answer: {-3}
Find all real and imaginary solutions to the equation.
19) x 2/3 - 6x 1/3 + 8 = 0
Answer: -7, 3, 7
Answer: {64, 8}
9) x 4 - 5x 2 - 36 = 0
Solve the inequality. Write the solution set using
interval notation and graph it.
20) 10y + 9 11y + 5
Answer: {3, -3, 2i, -2i}
Solve the equation.
2
t
10) =
t
4t - 6
Answer: {2, 6}
Answer: (- , 4]
6
1
=111)
m+5
m-5
Answer: {0, 7}
1
Solve the compound inequality. Write the solution set
using interval notation and graph it.
21) -12 < -3x + 3 0
31) x 3 - 2x 2 - 25x + 50
Answer: [-5, 2]
Answer: [1, 5)
32)
(x - 3)(x + 7)
x-4
x+1
2
Solve the inequality.
9
1
>
33)
x-5 x-5
Answer: (5, )
34)
Solve the absolute value equation.
23) 3m + 2 = 4
2
,-2
3
Answer: - , - 2
35)
6,
Answer: - 5, 2
26) |17x - 7| < -2
Answer:
Solve the quadratic inequality. Write the solution set
using interval notation.
27) x 2 - 3x - 18 < 0
Answer: (-3, 6)
-12
[-3, )
29) (x-2) (1-x) (x+4) (5-x) < 0
Answer: (-4, 1)
(2, 5)
Solve the inequality. Give answer in interval notation.
30) (x + 9)(x 2 - 49) > 0
Answer: (-9, -7)
1
x-1
13
,
5
18
15
>
x-5 x-1
Answer: (-19, 1) or (5, )
25) 2x + 3 < 7
Answer: (- , -4]
6
x+7
Answer: -7, 1
Solve the absolute value inequality. Write the solution
set using interval notation.
24) 2x - 4
8
28) x 2 + 7x
[3, 4)
3
Answer: [-3, 5]
Answer:
[5, )
0
Answer: (- , -7]
22) -1
0
(7, )
2