Download Sample Test 1

Sample Test 1
Name___________________________________
In the real test you will have 10 questions and the following rules:
You have 75 minutes to complete the test below. The usage of books or notes, or communication with other students is
not allowed. Ask me if you have questions.
This is a multiple choice test.You do not have to justify your answer. If , however, you are not sure that your selection is correct, put a
star (*) in front of the question number, and include your calculations on an attached sheet. I will look at an attached calculation
only if I see a star in front of the question number.
-If you mark an incorrect answer but your calculations contain only minor mistakes, you will get up to 75% credit for the problem.
-Beware: if you instruct me to look at a severely incorrect calculation, you will lose at least 50% of the credit, even if by chance you
mark the correct answer. (No credit is given for an incorrect answer and totally incorrect calculations.)
You get full credit if you mark the correct answer, and mark no star, or if you mark the correct answer, express doubt by marking a star,
but I find your calculations perfectly correct.
Express the number in scientific notation.
1) 108.146
A) 1.08146 x 10-2
B) 1.08146 x 101
C) 1.08146 x 102
D) 1.08146 x 10-1
B) (4a 2 - 3b2 )(5a + 2b)
C) (4a 2 + 3b2 )(5a - 2b)
D) (20a 2 + 3b2)(a - 2b)
Factor by grouping.
2) 20a 3 - 8a 2 b + 15ab 2 - 6b3
A) (4a 2 + 3b)(5a - 2b)
Multiply. Simplify if possible.
k2 + 11k + 24
k2 + 4k
3)
œ
2
2
k + 12k + 32 k + 6k + 9
A)
1
k+3
B)
k2 + 4k
k+3
C)
k
k2 + 12k + 32
D)
k
k+3
Divide. Simplify if possible.
z 2 + 6z + 9
z 2 + 3z
4)
d
z 2 + 8z + 15 z2 + 3z - 10
A) z - 2
B)
z
z 2 + 8z + 15
C)
z-2
z2 + 5z
D)
z-2
z
C)
x2 - 5x + 24
(x - 4)(x + 4)
D)
x2 + 5x + 24
(x - 4)(x + 4)(x + 1)
Perform the indicated operation and simplify.
x
6
5)
2
2
x - 16 x + 5x + 4
A)
x2 - 5
(x - 4)(x + 4)(x +1)
B)
x2 - 5x + 24
(x - 4)(x + 4)(x + 1)
Use rational exponents to simplify the radical. Assume that all variables represent positive numbers.
15
6)
x9 y6
5
5
3
5
A) xy2
B) x3 y2
C) x3 y2
D) x3 y
MATH 1100-012
Name the quadrant in which the point is located.
7) (9, 11)
A) I
B) III
C) IV
D) II
Give the coordinates of the points shown on the graph.
8)
7
6
B5
4
3
2
1
y
-7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
A
1 2 3 4 5 6 7 x
A) A = (2, 4), B = (6, 4)
B) A = (6, 20), B = (4, -2)
C) A = (2, 6), B = (-2, 4)
D) A = (2, 6), B = (4, -2)
Solve the equation.
9) 5(y + 3) = 6(y - 2)
A) -3
B) 27
C) 3
D) -27
B) 0
C) All real numbers
D) No solution
B) All real numbers
C) 0
D) No solution
10) 7x - 4 - 7x + 2 = 6x - 6x - 5
A) -224
11) 6(x + 4) = (6x + 24)
A) 48
Solve the problem.
12) Using a phone card to make a long distance call costs a flat fee of $0.89 plus $0.18 per minute starting with the
first minute. After writing an equation for this situation, how many minutes did a phone call last in which the
total charge was $6.29?
A) 25 minutes
B) 38 minutes
C) 30 minutes
D) 43 minutes
13) Don James wants to invest $63,000 to earn $5030 per year. He can invest in B-rated bonds paying 11% per year
or in a Certificate of Deposit (CD) paying 6% per year. How much money should be invested in each to realize
exactly $5030 in interest per year?
A) $37,000 in B-rated bonds and $26,000 in a CD
B) $26,000 in B-rated bonds and $37,000 in a CD
C) $38,000 in B-rated bonds and $25,000 in a CD
D) $25,000 in B-rated bonds and $38,000 in a CD
14) A rectangular carpet has a perimeter of 232 inches. The length of the carpet is 64 inches more than the width.
What are the dimensions of the carpet?
A) 90 by 116 inches
B) 90 by 26 inches
C) 71 by 97 inches
MATH 1100-012
D) 103 by 116 inches
Solve the equation.
15) 6m 2 - 3m = 0
A) -
1
,0
2
B)
1
1
,2
2
C) {0}
B)
5 7
,
3 3
C) -
D)
1
,0
2
Solve by completing the square.
16) 9b2 + 36b + 35 = 0
A) -
5
7
,3
3
7 14
,
3 3
D) -
5
7
,9
9
Use the quadratic formula to solve the equation.
17) 9r2 + 24r = - 14
A)
-24 ±
3
2
B)
-4 ± 2
18
C)
-4 ±
3
2
D)
-4 ± 30
3
Use the discriminant to determine whether the following equation has solutions that are two different rational solutions;
two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
18) s2 + 4s + 3 = 0
A) Exactly one rational solution
B) Two different irrational solutions
C) Two different rational solutions
D) Two different imaginary solutions
Solve the equation.
19) |5m + 4| + 8 = 10
2 6
A) { , }
5 5
B) No solution
C) {-
MATH 1100-012
2
6
,- }
5
5
D) {-
1
3
,- }
2
2
Answer Key
Testname: STEST1.TST
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C
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D
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B
B
A
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B
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B
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B
D
A
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C
C
MATH 1100-012