Download Practice Final Exam

Practice Final Exam
Math 075
1)
4 1 5
( - )=
7 2 6
A)
1
4
4
3
; B) ; C)
; D)
2
7
21
25
a  b2
2) Evaluate
if a = - 3, b = 2, c = -4
c  ab
A)
1
1
7
7
; B)
; C) ; D)
2
10
2
10
3) Solve for x: 3 – 2(x – 5) + 7 = 4x – 9
A)
11
3
6
29
; B)
; C)
; D)
3
2
29
6
4) Solve for x:
A)
x 1
3x
- =
+1
2 3
5
40
 40
 40
 11
; B)
; C)
; D)
9
9
3
3
5) Solve for x: 2c – x = 4x + c – 5b
A)
 c  5b
3c  5b
c  5b
; B) -4x + c + 5b; C)
; D)
5
5
5
6) Kirk wants to get $72,000 for his house. The real estate agent gets a commission
equal to 10% of the selling price for selling the house. What should the selling
price be?
A) $72,720;
B) $80,720; C) $80,000; D) $79,200
7) Solve for x: -2 <
6  3x
5
3
A) 4 > x  -3; B) 4  x > 3; C) -4  x < 3; D) 4 < x  3
8) The correct graph for -2 < x  3 is:
1
A) [--------) B) (--------)
-2
3
-2
3
C) [--------]
-2
3
D) (--------]
-2
3
9) The correct graph for 2x – 3y = 6 is a straight line through:
A) (-3,0) and (0,-2)
C) (3,0) and (0,2)
B) (-3,0) and (0,2)
D) (3,0) and (0,-2)
10) Write the equation 4x – 5y = 20 in slope-intercept form.
A) y =
4
x + 4;
5
5
y + 5;
4
B) x =
C) y = -4x + 20; D) y =
4
x–4
5
11) Find the slope and y-intercept of the line whose equation is
y=
A)
1
; (0,1)
3
1
x–1
3
1
; (0,-1)
3
B)
C)
1
; (0,-1)
3
D)
1
; (0,1)
3
12) Write the equation of the line passing through (0,6) and perpendicular to the line
2
having equation y =
x + 5.
3
A) y =
2
x–6
3
B) y =
3
x–6
2
C) y =
3
x+6
2
D) y =
2
x+6
3
13) If a child’s foot is 7.75 inches long, then the child wears a size 13 shoe. If the
child has a foot that is 5.75 inches long, then the child wears a size 7 shoe. The
shoe size, S, is a linear function of the length of the foot, L. Write a linear
equation expressing S as a function of L.
A) S = 3L + 10.25
C) S =
1
L – 10.25
3
B) S = 3L – 10.25
D) S = -3L – 10.25
14) y varies inversely as w, and y = 9 when w = 2. Find y when w = 6.
A) 27
B) -3
C) –27
D) 3
15) Find the product: (3x – 2)(4x 2 - 6x + 1)
2
A) 12x 3 - 26x 2 + 15x – 2
C) 12x 4 - 26x 3 + 15x 2 + 2x
B) 12x 3 - 26x 2 + 15x + 2
D) 12x 3 - 10x 2 - 9x + 2
16) Simplify. Answer will have no negative exponents.
﴾
x 6 y 4 1
﴿
x 3 y 4
A) x 9
B)
y8
x9
1
x9
C)
D)
x9
y8
17) If 9x 2 + 24xy – 9y 2 is completely factored, one factor is (x + 3y). The other
factor(s) are:
A) (3x + y)
B) 3(3x – y)
C) 3(x – 3y)
D) (3x – y)
18) The only positive number solution of 3x 2 - 5x – 2 = 0 is:
A) 2
B)
2
3
C) 1
D)
1
3
19) Solve for x: 3x – 3x =1
A) All real numbers
20) Reduce to lowest terms:
A)
x3
7
B)
x3
7
B) No solution
C)
1
3
D)
7x  9
14
D) 0
3x 2  18 x  27
21x  63
x  2x  9
7
C)
21) Which number(s) cannot be used in place of y in the expression:
2y 1
y  y6
2
A) -2,3
B) 2,-3
C)
1
,3
2
3
D) 0
22) Perform the indicated operation. Reduce the answer to lowest terms:
5
3
4
+ 2
3a  9 2 a
a  3a
A)
a3
6a ( a  3)
23) Solve for x:
A) 3
B)
51
6(a  3)
C) a + 51
D)
a  51
6a ( a  3)
1
1
x2
+
=
x
x3
x3
B) 1
C) No solution
D) 3,1
24) The ratio of new shows to re-runs on cable TV is 2 to 27. If Frank counted
only eight new shows one evening, then how many re-runs were there?
A) 54
B) 108
C) Cannot determine from the information given D) 216
25) After a heavy snowfall, Brian can shovel all of the driveway in 30 minutes.
If his younger brother Allen helps, the job takes only 20 minutes. How long
would it take Allen to do the job alone? If x = the time it would take Allen to
do the job alone, an appropriate equation to solve this problem would be:
A)
2
20
+
=1
3
x
B)
2
x
+
=1
3
20
C)
x
x
+
=1
20
30
D) 30 + x = 20
Answers:
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
A
B
D
C
D
C
A
D
D
D
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)
B
C
B
D
A
D
B
A
B
A
21)
22)
23)
24)
25)
A
D
B
B
A
Math 075
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