Download Form A - Faculty

MATH98
Intermediate Algebra
Practice Test
Form A
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
Solve the equation.
1)
(y - 4) - (y + 2) = 3y
A) - 2
B) - 3
C) -
1
3
D) -
1)
3
2
Objective: (2.3) Solve Equation with Parentheses
Solve the problem.
2) Two pages that face each other in a book have 441 as the sum of their page
numbers. What is the number of the page that comes first?
A) 221
B) 219
C) 218
D) 220
2)
Objective: (2.4) Solve Apps: Consecutive Integers
Find the measure of each marked angle.
3)
(x + 2)°
3)
(4x - 142)°
A) 66° and 114°
C) 68° and 112°
B) 64° and 116°
D) 66° and 24°
Objective: (2.5) Find Measure of Angle
Solve the formula for the specified variable.
1
A = bh for b
4)
2
A) b =
2A
h
B) b =
4)
A
2h
C) b =
Objective: (2.5) Solve Formula for Variable
1
h
2A
D) b =
Ah
2
Solve the equation.
4x - 2 3x + 3
=
5)
6
4
A) - 5
5)
B) - 13
C)
5
17
D)
13
17
Objective: (2.6) Solve Proportion
Find the perimeter of the geometric figure.
6)
9x2 + 9x + 19
6)
9x2 - 6x + 11
A) 36x2 + 6x + 30
C) 36x2 + 6x + 60
B) 18x2 + 3x + 30
D) 27x2 + 12x + 30
Objective: (5.1) Find Perimeter of Geometric Figure
Find the product.
7)
(3x + 5)(x - 5)
A) x2 - 25x - 10
C) 3x2 - 10x - 25
7)
B) x2 - 10x - 30
D) 3x2 - 30x - 25
Objective: (5.3) Find Binomial Product Using FOIL Method
Perform the division. Write the answer with positive exponents.
-12x6 + 30x5 - 18x4
8)
-6x5
8)
A) 5x - 5
3
B) 2x + 30x5 +
x
C) 2x - 5
D) 2x - 5 +
3
x
Objective: (5.6) Divide Polynomial by a Monomial
Factor out the greatest common factor.
9)
5x(6x - 5) - 4(6x - 5)
A) (5x - 4)(6x - 5)
C) (30x + 4)(x + 5)
B) (5x + 4)(6x + 5)
D) (30x - 4)(x - 5)
9)
Objective: (6.1) Factor Out Greatest Common Factor
2
Fall2010
Factor completely.
7x2 - 7x - 42
10)
A) (7x + 14)(x - 3)
C) 7(x + 2)(x - 3)
10)
B) 7(x - 2)(x + 3)
D) Prime
Objective: (6.2) Factor Trinomial in One Variable
11)
25x2 - 36
A) (5x + 6)2
C) Prime
11)
B) (5x - 6)2
D) (5x + 6)(5x - 6)
Objective: (6.5) Factor Difference of Two Squares
Factor.
12) x2 - 16xy + 64y2
A) (x + 8y)2
12)
B) Prime
C) (x - 8y)2
D) (x - 8y)(x + 8y)
Objective: (6.5) Factor Perfect Square Trinomial
Solve the equation.
13)
(9y + 20)(6y + 19) = 0
20 19
,
A)
9 6
C) -
20
19
,9
6
B) -
13)
9
6
,11
19
D) {11, 13}
Objective: (6.7) Solve Factored Equation by Zero-Factor Property
14) x2 - x = 6
A) {1, 6}
B) {-2, 3}
C) {2, 3}
D) {-2, -3}
14)
Objective: (6.7) Solve Quadratic Equation by Factoring I
15)
21n2 + 63n = 0
A) - 3, 0
B) - 3, 63
D) - 3
C) {0}
15)
Objective: (6.7) Solve Quadratic Equation by Factoring I
Solve the problem.
16) The length of a rectangular frame is 3 cm more than the width. The area inside
the frame is 180 square cm. Find the width of the frame.
A) 18 cm
B) 13 cm
C) 15 cm
D) 12 cm
16)
Objective: (6.8) Solve Apps: Geometry II
3
Fall2010
Find all numbers not in the domain of the function.
x2 - 49
17) f(x) =
x2 + 4x - 45
A) -9, 5
B) 0
17)
C) 9, -5
D) 7, -7
Objective: (7.1) Find Numbers Not in Domain
Express the rational expression in lowest terms.
(y + 9)(y - 3)
18)
(y - 3)(y + 7)
A)
y-9
y-7
B)
y+3
y+4
18)
C)
2y - 3
2y + 4
D)
y+9
y+7
Objective: (7.1) Write Rational Expression in Lowest Terms
3x + 4
15x2 + 26x + 8
19)
19)
A)
3x
5x + 2
B)
3x + 5
5x + 26
C)
1
5x + 2
D)
3x + 4
15x2 + 26x + 8
Objective: (7.1) Write Rational Expression in Lowest Terms
Perform the indicated operation and express in lowest terms.
8p - 8 9p - 9
÷
20)
p
3p 2
A)
8p
3
B)
72p 2 + 144p + 72
3p 3
C)
24p 3 - 24p 2
9p 2 - 9p
D)
3
8p
20)
Objective: (7.1) Multiply or Divide Rational Expressions I
x
21)
x2 - 16
-
5
21)
x2 + 5x + 4
A)
x2 - 4
(x - 4)(x + 4)(x + 1)
B)
x2 + 4x + 20
(x - 4)(x + 4)(x + 1)
C)
x2 - 4x + 20
(x - 4)(x + 4)
D)
x2 - 4x + 20
(x - 4)(x + 4)(x + 1)
Objective: (7.2) Add or Subtract Rational Expressions I
4
Fall2010
Solve the formula for the specified variable.
A
for r
22) P =
1 + rt
A) r =
A-P
Pt
B) r = P - tA
22)
C) r =
P-A
1+t
D) r =
P-1
At
Objective: (7.5) Solve Formula for Specified Variable
Solve the problem.
23) If a boat uses 15 gallons of gas to go 71 miles, how many miles can the boat
travel on 45 gallons of gas?
A) 426 miles
B) 213 miles
C) 23 miles
D) 233 miles
23)
Objective: (7.5) Solve Apps: Use Proportions
24) If 3.5 ounces of oil are to be added to 14 gallons of gasoline, then how many
ounces of oil should be added to 29.2 gallons of gasoline?
A) 7.5 ounces
B) 7.2 ounces
C) 7.3 ounces
D) 116.8 ounces
24)
Objective: (7.5) Solve Apps: Use Proportions
Solve the inequality, giving its solution set in both interval and graph forms.
25) -2x 18
25)
A) (- , -9]
B) [-9, )
C) [9, )
D) (- , -9)
Objective: (8.1) Solve and Graph Inequality I
5
Fall2010
26) -6 < -3z
6
26)
A) (-2, 2]
B) (-2, 2]
C) [-2, 2)
D) [-2, 2)
Objective: (8.1) Solve and Graph Three-Part Inequality
For the compound inequality, give the solution set in both interval and graph forms.
x 2 and x 5
27)
A) (- , 5]
B) [2, )
C) [2, 5]
D) (- , 2]
27)
[5, )
Objective: (8.2) Solve and Graph Compound Inequality (And)
28)
x - 1 > 1 or x + 3 < 2
A) (- , 1)
28)
(2, )
B) (- , 2)
C) (- , -1)
(2, )
D) (-1, )
Objective: (8.2) Solve and Graph Compound Inequality (Or)
6
Fall2010
Choose the absolute value equation or inequality which matches the graph.
29)
A) r < 4
B) r = 4
C) r
4
D) r
4
E) r > 4
29)
Objective: (8.3) Match Absolute Value Equation or Inequality with Graph
Solve.
30)
b-3 =7
A) {10}
B) {-10, 4}
C) {10, -4}
D)
30)
Objective: (8.3) Solve Absolute Value Equation
Simplify the expression involving rational exponents.
5121/3
31)
A) 24
B) 4096
C) 8
D) 12,288
31)
Objective: (9.2) Simplify Expression with Rational Exponent I
Simplify the radical. Assume that all variables represent positive real numbers.
12
32)
A)
4
x8
x
32)
B)
3
x2
C)
4
x2
D) x2
Objective: (9.3) Simplify Radical by Using Smaller Index
Find the missing length in the right triangle. Simplify the answer if necessary.
33)
16
33)
c
12
A) c = 2 7
B) c = 14
C) c = 20
D) c = 4 7
Objective: (9.3) Find Unknown Length in Right Triangle
Multiply, then simplify the product.
( 5 + 1)( 5 - 1)
34)
A) 6
B) 4 - 2 5
34)
D) 4 + 2 5
C) 4
Objective: (9.5) Multiply Radical Expressions Using FOIL
7
Fall2010
Rationalize the denominator. Assume that all variables represent positive real numbers.
7a
35)
2
A)
49a 2
2
B) 11
C) 7a 2
D)
35)
7a 2
2
Objective: (9.5) Rationalize Denominator (Index = 2)
Multiply.
36)
(4 + 3i)(2 - 4i)
36)
A) 20 - 10i
C) -12i2 - 10i + 8
B) 20 + 10i
D) -4 + 22i
Objective: (9.7) Multiply Complex Numbers
Find the power of i.
37) i12
A) -i
B) i
C) 1
D) -1
37)
Objective: (9.7) Find Power of i
Solve the equation.
x2 = 9
38)
A) {3, -3}
B) {4.5}
C) {4, -4}
D) {3}
38)
Objective: (10.1) Solve Equation Using Square Root Property
Use the quadratic formula to solve the equation.
p 2 + 3p - 9 = 0
39)
39)
A)
3+3 5
2
B)
-3 - 3 5
2
C)
-3 + 3 5 -3 - 3 5
,
2
2
D) {-3 + 3 5, -3 - 3 5}
Objective: (10.2) Solve Equation by Completing the Square
Use the discriminant to determine whether the solutions for the equation are two rational numbers,
one rational number, two irrational numbers, or two nonreal complex numbers. Do not actually
solve.
s2 - 6s - 7 = 0
40)
40)
A) two nonreal complex numbers
C) one rational number
B) two rational numbers
D) two irrational numbers
Objective: (10.3) Use Discriminant to Find Type and Number of Solutions
8
Fall2010