Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1) Tiger Woods won the 2000 U.S. Open golf tournament with a score of 12 strokes under
1)
par (–12). His closest competitor, Ernie Els, finished 3 strokes over par (+3). What
was the margin of victory?
A) 9 strokes
B) 15 strokes
C) 18 strokes
D) 12 strokes
2) Perform the indicated operations.
2)
10 + 25 - 30 - (-22) + 6
A) 33
B) 49
C)
-11
D)
93
3) Subtract the numbers.
-13 - (-14)
A) 27
3)
B) 1
C)
-27
D)
182
4) In one 24-hour period in Toledo, Ohio, the high temperature was 33 degrees and the low
4)
temperature was -3 degrees. Find the temperature range for that day (i.e., the difference
between the high and low temperatures).
A) 36 degrees
B) -30 degrees
C) -36 degrees
D) 30 degrees
5) Use the order of operations to simplify the expression.
5)
3
+ 7 - 12 3
4
A) -
51
4
B)
69
4
C)
63
4
D) -
57
4
6) Add the numbers.
6 + (-6)
A) -36
6)
B) -12
C)
0
D)
12
7) Translate the phrase into an algebraic expression.
7)
The quotient of -46 and the absolute value of y
-46
-46
y
A)
B)
C)
y
y
-46
D)
-46
y
8) Evaluate the expression below for a = -4, b = -9, and c = -8.
(a + b) - c
A) 13
B) -3
C)
1
-5
8)
D)
-21
9) Which property is illustrated by the following statement?
9)
(11 + 13) + 4 = (13 + 11) + 4
A) Distributive property
B) Associative property of multiplication
C) Associative property of addition
D) Commutative property of addition
10) Evaluate the expression for the given substitution.
10 + 9y; when y = -2.3
A) -8
B) -10.7
C)
10)
-43.7
D)
30.7
11) Simplify.
11)
6.9
A)
12)
1
6.9
B) -6.9
What is 20% of 125?
A) 30
C)
6.9
D) -
1
6.9
12)
B) 25
C)
32
D)
23
13) Solve the inequality. Write your answer in interval notation.
y – 18 > 5
A) (5, )
B) (-18,
C)
5)
(23, )
13)
D)
(-13, )
14) Angles A, B, and C are the angles in a triangle. Angle B is 2 times as big as angle A, and
14)
angle C is 24 degrees more than angle A. Find the measure of angle A in degrees.
A) 16.5
B) 63
C) 78
D) 39
15) The product of ten and the sum of two and a number is five times the number. Find the
number.
A) 12
B) –5
C)
–4
D)
5
16) Solve the inequality. Write your answer in interval notation.
-14
9
A) 3,
2
15)
16)
2x - 3 < 6
B) -
11 9
,2
2
C) -
11
,
2
D) -
11 9
,
2 2
17) Two angles are complementary. The larger of the two is 36° more than twice the
smaller. Find the 2 angles.
A) 48° and 132°
B) 42° and 48°
C)
2
18° and 72°
D)
54° and 36°
17)
18) Graph the solution set to the inequality.
x + 11
18)
10
A)
B)
-2
-1
0
1
-2
C)
-1
0
1
D)
-3
-2
-1
0
-3
-2
-1
0
19) A car dealership marks up all new automobiles by 15%. What was the original
19)
wholesale cost of a car with a sticker price at this dealership of $22,500?
A) $18,700.00
B) $3,375.00
C) $25,875.00
D) $19,565.22
20) Solve the equation.
20)
1
4 5n 3
(2n - 5) + =
2
3
6 2
A) n =
5
3
B) n
C) n = -
= -2
11
6
D)
n = 13
21) Determine the slope by using the slope formula and any two points on the line.
A) m = undefined
B) m = -1
C) m = 1
D) m = 0
22) Find the slope of the line connecting the points A) m = -
5
11
B) m = -
11
5
2
7 1
, 1 and
, .
5
10 2
C) m =
3
21)
19
3
22)
D) m = -
3
7
23) If the slope of a line is
A)
9
4
9
, the slope of a line parallel to it would be.
4
B)
4
9
C) -
24) Write an equation of the line with slope A) y = -
6
1
x3
5
B) y = -
23
5
B) x = -
D) -
4
9
6
1
and y-intercept 0, .
3
5
6
1
x3
5
C) y = -
25) Write the equation of the line through the points -
A) y = 9x -
9
4
23)
2
5
6
1
x+
3
5
24)
D) y = -
6
1
x+
3
5
2
2
, -1 and - , 5 .
5
5
C) y = -
2
5
25)
D) y = 9x +
13
5
26) Does the line pictured below have positive, negative, zero, or undefined slope?
A)
27)
zero
B) undefined
C)
negative
Find x so that (x, -16) is a solution to 2x + 3y = 12.
A) x = 30
B) x = -18
C) x = -36
D)
positive
27)
D)
x = 60
28) Use the point-slope formula to write an equation of the line through the point (1, 17) that
is parallel to the line 2y - 10x = 12.
A) y = 5x + 12
B) y = 5x + 6
C)
4
2y - 10x = 17
26)
D)
y = 10x + 7
28)
29) Graph the inequality.
y
29)
-11x - 44
A)
B)
C)
D)
30) A very, very hungry guy goes to a fast food place and orders 2 burgers and 3 tacos, at a
30)
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: $2.00; Taco: $3.00
D) Burger: $2.30; Taco: $0.70
31) Solve the system using the addition method.
31)
4x + y = 6
6x - y = 14
A) There is no solution.
C) (-2, 2)
B) (-1,
-1)
D) (2, -2)
5
32) Solve the system using the addition method.
32)
5x - 8y = 4
10x = 16y + 8
A) (0, -0.5)
C) {(x, y): 5x - 8y = 4}
B) There
D)
is no solution.
(5, 8)
33) Solve the system using the substitution method.
2x + 8y = 39
-4x - 4y = -12
5 13
,A)
4
4
C)
33)
B) There
1 1
,2 2
D) -
is no solution.
5 11
,
2 2
34) Solve the system using the addition method.
3x + 5y =
1
2
4x + 15y =
A) C)
34)
29
6
2 1
,
3 2
B) There
5 11
,
2 6
D)
6
(3, -5)
is no solution.
35) Graph the inequality.
6y + 4x
35)
1
A)
B)
C)
D)
36) A dairy keeps two kinds of milk on hand, skim milk that has 0.2% butterfat and whole
36)
milk that has 3.4% butterfat. How many gallons of each type of milk does a company
need to produce 160 gallons of 1% milk for a grocery store?
A) 125 gallons of skim; 35 gallons of whole
B) 115 gallons of skim; 45 gallons of whole
C) 130 gallons of skim; 30 gallons of whole
D) 120 gallons of skim; 40 gallons of whole
37) Simplify the expression. Write the answer in exponent form.
52 59
37)
58
A)
1
53
B) 53
C) 510
7
D) 514
38) Simplify the expression. Write your answer with positive exponents only.
x3
38)
x6
1
A)
B) -x3
x3
C) x3
D) x9
39) Find the volume of a spherical ball that is 5 in. in diameter. Use 3.14 for
your answer to the nearest cubic inch.
A) 37 in.3
B) 65 in.3
C) 523 in.3
and round
39)
D) 49 in.3
40) Divide the polynomials.
39z5 - 13z3
40)
13z2
A)
3z3 - 13z
B) 3z3
C)
-z
-10z3
D)
3z5 - z
41) Multiply the polynomials.
b2 + 4b - 2
×
41)
3b + 8
A)
3b3 + 20b2 + 26b - 16
C)
3b3 + 4b2 + 26b - 16
B) 3b3
D) 3b3
+ 4b2 - 38b - 16
+ 20b2 - 38b - 16
42) Categorize the expression as a monomial, a binomial, or a trinomial.
10x4 - 20x7
A)
B) monomial
trinomial
C)
binomial
43) Divide the polynomials.
(3x3 - 2x + 5) ÷ (3x2 + 9x + 5)
A) x + 7 +
43)
1
B) x + 3 +
3x2 + 9x + 5
C) x + 11 +
1
D) x - 3 +
3x2 + 9x + 5
44) Factor completely.
a6 - b6
7
3x2 + 9x + 5
20x + 20
3x2 + 9x + 5
44)
(a3 - b3 )(a3 + b3 )
B) The polynomial is prime.
C) (a - b)(a + b)(a2 + ab + b2 )(a2 - ab + b2 )
A)
D)
42)
(a - b)6
8
45) Factor the sum of cubes.
27t3 + 8
45)
A)
(3t + 2)3
B) (3t -
C)
(3t + 2)(9t2 - 6t + 4)
D)
2)(9t2 + 6t + 4)
(9t + 4)(3t + 2)
46) Factor completely using the trial-and-error method.
-7b - 22 + 4b2
A)
46)
B) The
polynomial is prime.
D) (4b + 7)(b - 1)
(4b - 7)(b + 1)
C) (7b + 4)(b + 1)
47) Solve the equation.
47)
12y(y - 8)(y - 17) = 0
A) y = -8, y = -17, y = 12
C) y = 8, y = 17, y = 12
B) y =
0, y = 8, y = 17
D) y = 8, y = 17, y = 12, y = 0
48) Factor out the opposite of the greatest common factor.
-3t5 + 18t3 + 3t
A)
-3t(t4 + 6t2 + 1)
C)
3t(-t4 - 6t2 - 1)
48)
B) -3t(t4
D) -3t(t4
- 6t2 )
- 6t2 - 1)
49) Factor by grouping.
49)
6tz - 10z + 6t - 10
A) z(6t - 10) + 2(3t - 5)
C) 2(3t - 5)(z + 1)
B) (2t - 5)(3z +
2)
D) (6t + 2)(z - 5)
50) The number of hours it takes to paint a house is inversely proportional to the number of
50)
people painting. If it takes 3 workers 18 hours to paint a certain house, how long would
it take 5 workers? Round to one decimal place.
A) 16.0 hours
B) 54.0 hours
C) 10.8 hours
D) 20.0 hours
51) Add or subtract the expressions with like denominators as indicated.
x2
18x + 80
x+8
A)
+
x + 10
51)
x+8
B) x2
C) x2
+ 28
+ 14
D)
x+8
52) Write a variation model. Use k as the constant of variation.
the number of hours (t) it takes to paint a house is inversely proportional to the
number of people (n) painting
k
t
n
=k
A) t =
B) t = kn
C)
D) t =
n
n
k
9
52)
53) Subtract the expressions with unlike denominators.
53)
5w - 26 w - 5
4w - 24 w - 6
A)
4w - 21
3(w + 6)
B)
1
4
C)
1
4(w - 6)
D)
4w - 21
3(w - 6)
54) The reciprocal of a number is added to 9, and the result is the quotient of 15 and the
number. Find the number.
14
9
A)
B)
9
14
C)
9
16
D)
54)
16
9
55) Subtract the expressions, if possible.
55)
2 10 - 5 10
A)
56)
2 10 - 5 10
B) -3
C)
10
7 10
D)
-6 10
56)
What is the principal square root of 144?
A) not a real number
C) -12 and 12
B) -12
D)
12
57) Translate the English phrase into an algebraic expression.
57)
the product of 29 and the fourth root of m
A)
4
29 m
B) 29m 4
C)
4
4
29 m
D)
4
29m
58) Use the multiplication property of radicals to simplify the expression.
58)
38
A)
2 19
B) 4
C)
9
38
D)
3 12
59) Multiply the expressions. Assume the variable represents a positive real number.
6x (2 + 15x)
A) 2 6x + 3x 10
C) 2 6x + x 15
59)
B) (2 + x) x + 90
D) 12 x + 3x 10
60) Determine the domain and range of the relation.
{(2, 1), (9, 6), (3, 7), (-8, 4), (9, 9), (3, 4)}
A) Domain {2, 9, 3, -8); range {1, 6, 7, 4, 9, 4}
B) Domain {2, 9, 3, -8}; range {1, 6, 7, 4, 9}
C) Domain {2, 9, 3, -8, 9, 3}; range {1, 6, 7, 4, 9, 4}
D) None of the above
10
60)
61) Solve the equation by using the quadratic formula.
9x(x - 2) = 5
14
A) 1 ±
3
C)
61)
B) 1 ±
3 14
10
D) -1 +
There are no real-valued solutions.
14
14
, -6 +
3
3
62) Find the vertex of the parabola.
y = x2 + 18x - 2
A) -9,
11
4
B) (-18,
62)
C)
2)
(18, -2)
D)
(-9, -83)
63) Is the graph below the graph of a function?
A)
63)
B) No
Yes
64) Simplify.
A) -
64)
3
4
4
3
B)
3
4
C)
3
-4
D)
4
3
65) Add the numbers.
65)
-8.2 + (-5.49) + 1.2
A) -12.49
B) 14.89
C)
-1.69
D)
-14.89
66) List the coefficients in the expression.
66)
6
x - y + 2.7z
7
A)
6
, 2.7
7
B)
6
, -1, 2.7
7
C)
11
+, -, +
D)
6
, 0, 2.7
7
67) Simplify the square root.
67)
16
A)
B) 4
8
C)
D)
6
5
68) Graph the solution set to the inequality.
-7
68)
2x - 9 < -1
A)
B)
-2
-1
0
1
2
3
C)
-2
-1
0
1
0
1
2
3
2
3
D)
0
1
2
3
4
5
4
5
69) Solve the inequality. Write your answer in interval notation.
0.12z + 0.08 < -0.02z - 0.2
5
,A)
B) (- , -2)
7
C)
5
,
7
69)
D)
(-2, )
70) If Lydia invests $4200 in a certificate of deposit and d dollars in a stock, write an
expression for the total amount she invested.
A) 4200 + d
B) 4200d
C)
d - 4200
D)
4200 - d
71) Determine if the given ordered pair is a solution to the equation.
10x + y = 9; (-6, 69)
A) no
C) x =
71)
B) yes
72) Write the equation of the line through the points 2,
A) y = -
70)
56
569
x+
9
45
1
1
and -11, .
5
5
B) y = -
1
5
D) y =
72)
56
3089
x9
45
1
5
73) Point A is 12 units to the right of, and 19 units lower than, point B. Find the slope of the
line connecting points A and B.
12
A) B) -7
19
C)
12
19
12
D) -
19
12
73)
74) Determine if the given point is a solution to the system.
5y = 19 - 6x (-4, 1)
6y = -10 + x
A) no
74)
B) yes
75) Solve the system using the substitution method.
20y + 2x = 170
x = -10y + 87
A) There is no solution.
C) (9, -5)
75)
B) There
D)
are infinitely many solutions.
(-5, 9)
76) After not studying hard enough and losing his academic scholarship, Mark needs to
76)
borrow money from 2 different banks to pay his tuition. Bank Seven charges 12%
simple interest, while First Collegiate Bank charges 10%. Mark had to borrow twice as
much from Bank Seven as he did from First Collegiate Bank. After one year, the
combined interest he owed was $714. How much did Mark borrow in total?
A) $2600
B) $6300
C) $4200
D) $2100
77) Divide the polynomials.
(13y3 + y2 - 41y) ÷ (-2y2 )
77)
A) -
13
1 41
y- +
y
2
2
2
B)
13
1 41
y+ 2
2 2y
C) -
13
1 41
y- +
2
2 2y
D) -
13 3/2 y 41 1/2
y - +
y
2
2
2
78) Simplify.
x0
A)
1
78)
B)
1
x
C)
0
D)
x
79) Three small towns out west form the vertices of a right triangle, with Stony Gulch at the
79)
vertex of the right angle. The hypotenuse is the distance from Parkton to Bison, which is
10 miles. The distance from Stony Gulch to Bison is 2 miles more than Stony Gulch's
distance to Parkton. How far is Stony Gulch from Bison?
A) 8 miles
B) 10 miles
C) 6 miles
D) 24 miles
80) Factor the trinomial using the ac-method.
5b2 + 2b - 18
80)
A)
B) (5b
(5b - 2)(b - 1)
C) The polynomial is prime.
+ 2)(b + 1)
D) (2b + 5)(b + 1)
13
81) Simplify the complex fraction.
81)
1 1
6 y
5
1
+
12 y2
2y(y - 6)
A)
(5y + 2)(y + 6)
C)
B)
2y(y - 6)
D)
5y2 + 12
y2 + 6
5y2 + 12
y2 +12
5y + 6(y + 2)
82) Solve the equation.
82)
3m
3
1+
=
6m - 12 3m - 6
A)
B) m
no solution
C)
=2
m = -2, m = 6
D)
m = -2
83) Simplify the expression. Assume the variables represent positive real numbers.
2
83)
(8 3pq)
A)
84)
B) 24p2 q2
192pq
C)
D)
576pq
72p2q2
84)
Identify the pair of like radicals.
A)
5 and 13
C)
5 6 and - 3 6
B) 5
6 and 5 13
D) -13 5 and
5
5
85) Determine if the relation defines y as a function of x.
x
A)
85)
y
B) False
True
86) Use the order of operations to simplify the expression.
86)
-2 2 - 3 6
A)
32
B) -14
C)
14
12
D)
-22
87) Write the interval described below in interval notation.
All real numbers that are at most -9
A) (- , -9]
B) [-9, )
C)
87)
D)
(-9, )
(- , -9)
88) The temperature, T, inside an oven can be described by the equation
88)
T = 58m + 66
for the first ten minutes after it's turned on, where m is minutes. Find the T-intercept, and
interpret its meaning in the context of this problem.
A) (0, 66); After 66 minutes, the temperature was zero degrees.
B) (0, 1.1); The temperature of the oven was originally 1.1 degrees.
C) (0, 66); The temperature of the oven was 66 degrees at the time it was turned on.
D) (0, 58); The original temperature of the oven was 58 degrees.
89)
The sum of two positive numbers is 89. Their difference is 21. Find the numbers.
A) 59 and 30
B) 52 and 31
C) 55 and 34
D) 50 and 39
90) Multiply the polynomials.
89)
90)
11 2 9 4
-x2y 3xy x + y
3
2
A) -3x3 y2 -
11 4
9
x y + x2 y5
3
2
B) -3x2 y +
11 4 9 2 4
x y- x y
3
2
C) -3x3 y2 +
11 4 9 2 5
x y- x y
3
2
D) -3x2 y +
11 5 9 7
xy - xy
3
2
91) Factor completely.
-x2 - 12x - 35
91)
A)
- (x2 + 5)(x + 7)
B) (x -
C)
- (x + 5)(x + 7)
D)
5)(x2 - 7)
(x - 5)(x - 7)
92) Multiply and divide as indicated.
4x2
8y8
x
y
A)
6y12
5x4
12y3
÷
92)
20x
2x2 y4
B)
15
C)
5x4
6y12
D)
15
2x2 y4
93) Convert the expression to radical form and simplify.
82/3
A)
-4
B) 4
C)
15
16
3
93)
D)
7
94) Find the value of n so that the expression is a perfect square trinomial and then factor the
94)
trinomial.
x2 + 10x + n
A)
n = 100; (x + 10)2
B) n
C)
n = 25; (x + 5)2
D)
= 25; (x - 5)2
n = 25; (x + 5)(x - 5)
95) Translate the algebraic expression into an English phrase:
20 - n2
95)
A)
The square of the difference of 20 and n
B) The difference of the square of n and 20
C) The difference of 20 and the square of n
D) The quotient of 20 and the square of n
96)
96)
Twelve is what percent of sixty?
A) 15%
B) 60%
C)
30%
D)
20%
97) Write the equation of the line through (47, 44) that is perpendicular to the y-axis.
A)
x = 47
B) y = -x
C)
+ 44
y = 44
D)
97)
y = x + 44
98) Melanie invested $2200 at the beginning of 2001 in two different stocks, Ramanar Corp.
98)
and Bakery Brothers. Ramanar Corp. earned 6 % simple interest for the year, while
Bakery Brothers earned 9%. In total, Melanie earned $162 for the year. How much was
invested in each stock?
A) Ramanar Corp.: $1600
B) Ramanar Corp.: $1200
Bakery Brothers: $600
Bakery Brothers: $1000
C) Ramanar Corp.: $1400
D) Ramanar Corp.: $1000
Bakery Brothers: $800
Bakery Brothers: $1200
99)
What is the leading coefficient of -3 + 2y - 5y2 + 8y4 ?
A) 8
B) 4
C) -3
99)
D)
3
100) Solve the equation.
2x3 + 18x2 = -40x
100)
A)
B) x =
x = 0, x = -4, x = -5
C) x = 0, x = 2
0, x = -4, x = -5, x = 2
D) x = -4, x = -5, x = 2
16
Answer Key
Testname: FINALREVIEWEA
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)
21)
22)
23)
24)
25)
26)
27)
28)
29)
30)
31)
32)
33)
34)
35)
36)
37)
38)
39)
40)
41)
42)
43)
44)
45)
46)
47)
48)
49)
50)
B
A
B
A
C
C
D
C
D
B
C
B
C
D
C
D
C
C
D
B
A
A
A
C
B
C
A
A
C
A
D
C
D
A
A
D
B
A
B
B
A
C
D
C
C
B
B
D
C
C
17
Answer Key
Testname: FINALREVIEWEA
51)
52)
53)
54)
55)
56)
57)
58)
59)
60)
61)
62)
63)
64)
65)
66)
67)
68)
69)
70)
71)
72)
73)
74)
75)
76)
77)
78)
79)
80)
81)
82)
83)
84)
85)
86)
87)
88)
89)
90)
91)
92)
93)
94)
95)
96)
97)
98)
99)
100)
A
A
B
A
B
D
A
C
A
B
A
D
A
B
A
B
B
D
B
A
B
D
D
A
A
B
C
A
A
C
C
A
A
D
B
D
A
C
C
C
C
C
B
C
C
D
C
B
A
A
18