Download 1) Subtract the mixed numbers. 3 3 4

Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1)
A)
2)
5)
1
4
B) 1
1
2
C)
$186
B) $2232
C)
1
3
D)
3
1
4
$34,596
D)
16
3
B)
32
3
C)
$744
26
3
D)
10
3
4)
Convert the percent to a fraction.
39%
39
11
A)
B)
1
25
C)
39
100
D)
39
10
A well-known maker of soup sells its product in cylindrical cans that are 4 inches tall
1
and have a radius of 1 inches. Use 3.14 for . What is the volume of the can?
2
cubic inches
D) 18.8 cubic inches
6)
Simplify.
- 19
19
5)
B) 31.5
28.3 cubic inches
C) 6 cubic inches
A)
2)
3)
A)
6)
2
Multiply the numbers.
2
4×2
3
A)
4)
2
If oak flooring, including installation, costs $15.50 per square foot, how much would it
cost to have it installed in the square room diagrammed below?
A)
3)
1)
Subtract the mixed numbers.
3
1
3 -1
4
2
B)
1
19
C)
1
-
1
19
D)
-19
7)
A)
8)
9)
15x3 , -18x2 , 7
B) +,
C)
-, +
D)
15, -18, 7
15, 18, 7
8)
Add the numbers.
-8.2 + (-5.49) + 1.2
-12.49
A)
B) -14.89
C)
D)
14.89
-1.69
9)
List the terms in the expression.
12x3 - 9x2 + 7
A)
10)
7)
List the coefficients in the expression.
15x3 - 18x2 + 7
12x3 , -9x2 , 7
B) +,
C)
-, +
D)
12, -9, 7
12x3 , 9x2 , 7
10)
Solve the inequality. Write your answer in interval notation.
12y + 6 > 9
1
,
A) (3, )
B) (- , 9)
C)
4
D)
,-
1
4
11)
Two boys in a boat with a small motor are able to travel 4 mph faster with the current
than in still water. If they travel with the current from a dock to their campground in 1.5
hours and make the return trip against the current in 2.5 hours, how fast are the boys able
to travel in still water?
A) 2 mph
B) 6 mph
C) 10 mph
D) 16 mph
11)
12)
Solve the inequality. Write your answer in set-builder notation.
18 - t > 11
A) {t | t > 7}
B) {t | t > -7}
C) {t | -t > 7}
12)
13)
14)
D)
13)
Solve the inequality. Write your answer in interval notation.
-6 – 6(2x + 1) < x – (-6 – x)
9
9
9
,A)
B) - ,
C) - ,
7
7
7
D)
C)
B) x-intercept:
x-intercept: (26, 0)
26
y-intercept: 0, 9
x-intercept:
(– , -6)
14)
Find the x- and y-intercepts.
y = 9x + 26
A)
{t | t < 7}
-
26
,0
9
y-intercept: (0, 26)
26
,0
9
D)
y-intercept: (0, -26)
2
x-intercept: (0, -26)
26
y-intercept:
,0
9
15)
Write the equation of the line through (40, 26) that is perpendicular to y = 10.
1
1
A) y = B) x = C) x = 40
D) y = 26
10
10
15)
16)
Line A goes through the points (-2, 3) and (-8, 21). Line B goes through the points
(6, -1) and (12, 1). Are the two lines parallel, perpendicular, or neither?
A) perpendicular
B) parallel
C) neither
16)
17)
A very, very hungry guy goes to a fast food place and orders 2 burgers and 3 tacos, at a
total cost of $6.50. Three days later, he's ready to eat again. This time, he buys 5
burgers and 1 tacos, at a total cost of $10.40. Find the cost of one burger, and the price
of one taco.
A) Burger: $1.90; Taco: $0.90
B) Burger: $1.60; Taco: $1.00
C) Burger: $2.30; Taco: $0.70
D) Burger: $2.00; Taco: $3.00
17)
18)
Solve the system using the substitution method.
y = 6x + 1
-3y + 18x = -2
A) (0, 1)
B) There are infinitely many solutions.
C) There is no solution.
D) (1, -2)
18)
19)
A plane can fly 984 miles with the wind in 3 hours, while it takes the same plane 4 hours
to fly the same distance against the wind. Find the speed of the plane in still air, and the
speed of the wind.
A) Plane: 287 miles per hour
B) Plane: 656 miles per hour
Wind: 41 miles per hour
Wind: 82 miles per hour
C) Plane: 246 miles per hour
D) Plane: 328 miles per hour
Wind: 82 miles per hour
Wind: 41 miles per hour
19)
20)
Subtract the polynomials.
(-4a2 b + 3ab2 + ab) - (2a2 b - 3ab2 - 5ab)
20)
A)
2a2b + 6ab2 - 4ab
C)
-6a4 b2 - 4a2b2
B) -6a2 b
D) -6a2 b
3
+ 6ab2 + 6ab
- 4ab
21)
If the perimeter of the figure below can be represented by 2w 2 + 3w + 5, find a
polynomial that represents the length of the missing side.
A)
22)
w2 + w - 10
B) w 2
C)
+ 5w + 10
2w2 - 10
D)
21)
w2 + w
Simplify the expression. Write your answer with positive exponents only.
x2
22)
x-5
A)
23)
1
B) x3
x3
C)
-x3
D) x7
23)
Factor the binomial completely.
1
c2 4
A)
C)
c-
1
1
c+
2
2
The binomial is prime.
B)
c-
12
2
D)
c-
1
1
c+
4
4
24)
Factor completely using the trial-and-error method.
2y2 + 21y + 27
A) (2y + 3)(y + 9)
B) (2y - 9)(y - 3)
C) (2y + 9)(y + 3)
D) (2y + 3)(2y + 9)
24)
25)
A piece of manufacturing equipment can produce enough items to fill an order in 10
hours. If an auxiliary piece of equipment is used also, it will take 7 hours. How long
would it take the auxiliary equipment to fill the order working alone? Round to one
decimal place.
A) 3 hours
B) 13.2 hours
C) 17 hours
D) 23.3 hours
25)
4
26)
Many media outlets reported that one out of every 24 ballots in Palm Beach County,
Florida incorrectly had holes punched for two different presidential candidates in the
2000 election. There were about 465,000 ballots cast. How many ballots had 2
candidates chosen?
A) 42,008
B) 19,375
C) 20,217
D) 12,156
26)
27)
Write the expression using rational exponents rather than radical notation. Assume the
variable represents a positive real number.
27)
5 2
k
A) k3
28)
30)
C) k5/2
D) k-3
28)
Multiply the expressions.
6 12
A)
29)
B) k2/5
2 6
B)
C)
18
6 2
D)
36 2
29)
Find the vertex of the parabola.
y = -2x2 + 16x - 3
A) (16, -3)
B) (-2, 13)
C)
(0, -3)
D)
(4, 29)
30)
Solve the equation by using the quadratic formula.
4 1
- = x - 5x2
3 6
A)
There are no real-valued solutions.
B) -
C)
161
1
±
10
10
D)
1 8
,
2 15
-8,
9
30
31)
Find the volume of a sphere with radius 5 cm. Use 3.14 for . Round your answer to one
decimal place.
A) 392.5 cubic cm
B) 523.3 cubic cm
C) 125.0 cubic cm
D) 78.5 cubic cm
31)
32)
Divide the fractions.
11 13
÷
2
3
32)
A)
24
5
B)
143
3
C)
5
33
26
D)
143
6
33)
A)
34)
36)
3
4
3
-4
B)
3
4
C)
-
4
3
D)
4
3
Solve the equation using the multiplication or division property of equality.
y
=5
4
A)
35)
33)
Simplify.
y=9
B) y =
20
5
4
C)
y=
C)
zero
D)
y=1
D)
undefined
34)
35)
A vertical line has _________ slope.
A) positive
B) negative
36)
Graph the inequality.
y -11x - 44
A)
B)
C)
D)
6
37)
38)
39)
37)
Evaluate the expression.
(-8)2
A) 64
B) 16
C)
-64
D)
-16
38)
Which of the triangles below is a right triangle?
A)
B)
C)
D)
39)
Simplify the expression to lowest terms.
x2 + 7x + 10
3x2 + 10x + 8
A)
40)
3x2
+ 10x + 4
B)
x+5
3x + 4
C)
1
3x + 4
D)
-
x+5
3x - 4
Simplify. Then add or subtract the expressions, if possible. Assume the variable represents 40)
a positive real number.
-8 5k + 2 125k
A)
41)
x2 + 7x + 5
10 k
B) 2
C)
-6 130k
Determine if the relation defines y as a function of x.
x
y
A)
B) False
True
7
D)
2 5k
41)
42)
43)
C)
47
500
D)
47
5
43)
Perform the operations.
21
4
5
1
16
15
14
A)
44)
42)
Convert the percent to a fraction.
9.4%
47
188
A)
B)
50
200
19
40
B) -
19
40
C)
-
1
8
D)
1
8
44)
Solve the formula for z.
8w + 3z – 2 = w
w+2
A) z =
B) 3z = -7w - 7
3 - 8w
C)
z=-
7
2
w+
3
3
D)
z = 9w – 2
45)
Find the equation of the line through the point (0, 8) that is perpendicular to the line
connecting the points (1, 5) and (-6, 40). Write your answer in slope-intercept form.
1
1
A) y = -5x - 8
B) y = x + 8
C) y = 5x + 8
D) y = - x + 8
5
5
45)
46)
Solve the system using the addition method.
-11x - 2y = 8
11x + 2y = 121
1 3
,A)
2 4
46)
C)
47)
B) (1,
D)
There is no solution.
8)
{(x, y) | 11x + 2y = 121}
47)
Square the binomial.
(4w - 3t)2
A)
16w2 + 9t2
C)
16w2 + 24wt - 9t2
B) 16w 2
D) 16w 2
8
- 24wt + 9t2
- 9t2
48)
48)
Factor out the greatest common factor.
7 + 4y5
A) The expression is prime because it is not factorable.
5
B) 11y
5
7(1 + -3y )
D) y4 (7 + 4y)
C)
49)
Find an expression that represents the perimeter of the rectangle. (assume that x > 0 and
y > 0).
49)
11x
y + 12
2x
y + 12
13x
units
A)
y + 12
B)
26x2
units
y + 12
D)
C)
50)
22x2
( y + 12)2
units
26x
units
y + 12
50)
Use the order of operations, if necessary, to simplify the expression.
29 + 16
6
A)
25
6
B)
11
2
C)
9
15
2
D)
13
6
Answer Key
Testname: FINALREVIEW121
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