Download MATH 1314 TEST 1 REVIEW SPRING 2016

MATH 1314 TEST 1 REVIEW SPRING 2016
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the equation by the zero-factor property.
1) x2 - 12x + 11 = 0
A) {10, 1}
B) {11, 1}
2) 10x2 + 37x + 30 = 0
5 6
,
A)
2 5
B)
C) {3, - 3}
2 5
,
5 6
C) -
Solve the equation by the square root property.
3) (x + 5)2 = 16
A) {9, 1}
B) {-9, -1}
5
6
,2
5
C) {-21}
4) (x - 5)2 = 15
A) {5 ± 15}
C) {5 + 15}
D) {-11, -1}
D) -
2
6
,5
5
D) {-1}
A)
2)
3)
4)
B) { 15 - 5, - 15 - 5}
D) { 15 - -5}
Solve the equation by completing the square.
5) x2 + 3x - 9 = 0
-3 + 3 5
2
1)
5)
B) {-3 ± 3 5}
C)
-3 - 3 5
2
D)
-3 ± 3 5
2
Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are
rational, irrational, or nonreal complex.
6) s2 + 5s + 6 = 0
6)
A) Two distinct rational solutions
C) Two distinct irrational solutions
B) Two distinct nonreal complex solutions
D) One rational solution (a double solution)
Solve the equation using the quadratic formula.
7) x2 + x + 4 = 0
A)
C)
1±
2
7)
15
1
15
i
B) - ±
2
2
-1 ± 15
2
D)
1
15
i
±
2
2
Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are
rational, irrational, or nonreal complex.
8) t2 - 8t + 16 = 0
8)
A) One rational solution (a double solution)
C) Two distinct nonreal complex solutions
B) Two distinct irrational solutions
D) Two distinct rational solutions
1
9) w2 - 2w + 4 = 0
A) Two distinct rational solutions
C) Two distinct irrational solutions
B) Two distinct nonreal complex solutions
D) One rational solution (a double solution)
Answer the question.
10) To solve for the lengths of the right triangle sides, which equation is correct?
9)
10)
3x
2x - 10
x
2
2
A) x = (3x) + (2x - 10)2
C) (2x - 10)2 = x2 + (3x)2
B) x2 + (3x)2 = (2x - 10)2
D) (2x - 10)2 + x2 = (3x)2
Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are
rational, irrational, or nonreal complex.
11) -7 - 6a 2 = -2a - 8
11)
A) Two distinct irrational solutions
C) One rational solution (a double solution)
B) Two distinct nonreal complex solutions
D) Two distinct rational solutions
Decide what values of the variable cannot possibly be solutions for the equation.
1
1
+
= 10
12)
x-4 x+8
A) -
1 1
,
8 4
B) -
1 1
,
4 8
C) -8, 4
12)
D) -4, 8
Solve the equation.
10 24
=0
13) 1 x
x2
A) {-12, 2}
13)
B) {12, 2}
C) {-12, -2}
D) {12, -2}
Solve the problem.
14) Martha can rake the leaves in her yard in 5 hours. Her brother can do the job in 3 hours. How long
will it take them to do the job working together?
15
1
15
1
hr
hr
hr
A)
B)
C)
D) hr
8
15
2
8
Solve the equation.
15) x = 2x + 8
A) {2}
16)
x+3=x-3
A) {6}
B)
C) {4, -2}
D) {4}
B) {1, 13}
C) {6, 13}
D) {1, 6}
2
14)
15)
16)
Solve the quadratic inequality. Write the solution set in interval notation.
17) x2 - 3x - 18 < 0
A) (6, )
18) x2 - 6x + 8 > 0
A) (- , 2)
B) (- , -3)
C) (- , -3)
B) (4, )
C) (- , 2)
(6, )
(4, )
D) (-3, 6)
D) (2, 4)
Solve and graph the inequality. Give answer in interval notation.
19) -6x + 9 -7x - 2
B) (- , -6)
C) [-11, )
D) (- , -11]
20) -3x - 2 > -4x + 10
20)
A) (- , 12)
B) (12, )
C) (8, )
D) (- , 8)
Solve the equation by making an appropriate substitution.
21) (x + 5)2 + 7(x + 5) + 10 = 0
B) {0, 3}
C) {-3, 0}
D) {-10, -7}
Solve the equation.
1
2
=4
22) +
x 3x
A)
3
4
B)
C)
5
12
D)
5
4
B) -8, 5
C) -5, 8
23)
D) -5, 0, 1
Solve the rational inequality. Write the solution set in interval notation.
x-7
0
24)
x+8
A) [-8, 7]
21)
22)
Decide what values of the variable cannot possibly be solutions for the equation.
x
17x
=0
23)
x - 5 8x + 8
A) -1, 5
18)
19)
A) (-6, )
A) {7, 10}
17)
B) (-7, 8]
C) (-8, 7]
3
24)
D) [-7, 8]
Solve the equation using the quadratic formula.
25) 2x2 + 12x = - 3
A)
-6 ± 30
4
25)
-6 ± 42
B)
2
C)
4
-6 ± 30
2
D)
-12 ±
2
30
Answer Key
Testname: 1314 TEST 1 REVIEW SPRING 2016
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B
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A
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C
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