M125(Intermediate Algebra) Practice Test (9.4-10.1...
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M125(Intermediate Algebra) Practice Test (9.4-10.1) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Complete the sentence. 1) Solutions of linear inequalities in two variables are 1) A) lines. B) numbers. C) closed regions of planes. D) half - planes. 2) To indicate that the boundary line is part of the solution, draw it 2) A) as a dashed line. B) with arrows at its ends. C) with solid dots at its ends. D) as a solid line. Choose the ordered pair which is a solution of the inequality. 3) 2x - 4y 6 3) A) (3, - 1) B) (1, - 1) C) (0, - 2) D) (2, - 2) 1
Transcript of M125(Intermediate Algebra) Practice Test (9.4-10.1...
M125(Intermediate Algebra) Practice Test (9.4-10.1)MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Complete the sentence.1) Solutions of linear inequalities in two variables are 1)
A) lines. B) numbers.C) closed regions of planes. D) half-planes.
2) To indicate that the boundary line is part of the solution, draw it 2)A) as a dashed line. B) with arrows at its ends.C) with solid dots at its ends. D) as a solid line.
Choose the ordered pair which is a solution of the inequality.3) 2x - 4y 6 3)
A) (3, -1) B) (1, -1) C) (0, -2) D) (2, -2)
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Graph on a plane.4) 5x + y -1 4)
A) B)
C) D)
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5) 2x + 4y -8 5)
A) B)
C) D)
Graph the system of linear inequalities.
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6) 2x + y 4 and x - 1 > 0 6)
A) B)
C) D)
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7) 2x + y 4 and y - 1 < 0 7)
A) B)
C) D)
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8) x - 2y 2 and x + y 0 8)
A) B)
C) D)
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9) x + 2y 2 and x - y 0 9)
A) B)
C) D)
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10) -2 x 3 and -1 y 1 10)
A) B)
C) D)
Graph the system of inequalities. Find the coordinates of the vertices.
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11) 3y - x 9,y + 2x 10,y 0
11)
A)
(-9, 0) , (5, 0)
B)
(3, 4)C)
(-9, 0) , (3, 4) , (5, 0)
D)
(0, 10) , (3, 4) , (5, 0)
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12) 2y + x -2,y + 3x 9,y 0,x 0
12)
A)
(0, 0) , (0 , -1) , (3, 0) , (4, -3)
B)
(0 , -2) , (0, 9) , (4, -3)C)
(-2, 0) , (0, 9) , (0, 0)
D)
(0 , -2) , (3, 0) , (4, -3)
Find all square roots of the number.13) 289 13)
A) 17 , - 17 B) 19 , - 19 C) 34 , - 34 D) 18 , - 18
Simplify.14) 529 14)
A) 23 B) 264C) 24 D) Not a real number
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15) 0.25 15)A) 5 B) 0.5 C) 0.6 D) 0.05
Identify the radicand and index.
16) xy2 3 8x + 9
16)
A) x + 9; 3 B) 8x + 9
; 2 C) 8x + 9
; 3 D) xy2; 2
For the given function, find the indicated function value, if it exists. If the value does not exist, answer "Does not exist".
17) For g(x) = - (x + 1)2, find g(-6). 17)A) 5 B) 6 C) -6 D) -5
Simplify. Assume that variables can represent any value.18) (7y - 5)2 18)
A) 7 y - 5 B) 7y - 5 C) 7y - 5 D) -7y + 5
19) 25x2 + 30x + 9 19)A) 5x + 3 B) 5x + 3 C) 5x + 3x D) None of these
For the given function, find the indicated function value, if it exists. If the value does not exist, answer "Does not exist".
20) For g(x) = - (x + 1)2, find g(-2). 20)A) -2 B) 2 C) -1 D) 1
21) For f(x) = x3 + 1, find f(-3). 21)A) 3 B) Does not exist C) - 26 D) 26
Simplify. Assume that variables can represent any value.
22) - x14 22)
A) - x7 B) x7 C) - x7 D) -x7
23) 121y6 23)A) 11 y3 B) 11y3 C) 11 y D) 11y2
Simplify. Unless otherwise specified, assume that variables can represent any number.
24)11
(x - 6)11 24)A) x - 6 B) x - 6 C) 6 - x D) x - 6
25)8
(9x)8 25)A) Not a real number B) 9xC) 9x or 9 x D) 81 x
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Simplify. Assume all variables represent nonnegative values.
26) 4x2 + 16x + 16 26)A) -2x + 6 B) 2x - 4 C) 2x + 4 D) 2x + 4 + 16x
27) (x - 4)12 27)
A) (x - 4)6 B) x - 24 C) (x - 4) 12 D) x - 4
For the given function, find the indicated function value, if it exists. If the value does not exist, answer "Does not exist".
28) For f(x) =3
2x - 1, find f(-13). 28)A) 3 B) Does not exist C) 2 D) -3
Determine the domain of the function. Express your answer in interval notation.
29) f(x) = 5 + 26
3t - 30 29)A) [-10, ) B) (- , 10) C) [10, ) D) (- , )
30) f(x) =5
2x - 24 30)A) (- , ) B) (- , 12) C) [-12, ) D) [12, )
31) g(x) = 3x2 + 3 31)A) [0, ) B) (-1, ) C) (- , ) D) [-1, )
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Answer KeyTestname: PRAC4(9.4_10.1)
1) D2) D3) B4) D5) C6) D7) C8) D9) B
10) B11) C12) A13) A14) A15) B16) C17) D18) B19) B20) C21) B22) A23) A24) B25) C26) C27) A28) D29) C30) A31) C
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