Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1)
A)
2)
1)
Solve the equation by first clearing fractions.
11
1 7
y+ = y
2
3 4
y=-
4
45
B) y =
C) y
–4
=-
1
4
D)
y=
4
87
Find an expression that represents the perimeter of the rectangle. (assume that x > 0 and
y > 0).
2)
11x
y + 12
2x
y + 12
A)
C)
3)
( y + 12)2
units
26x
units
y + 12
B)
13x
units
y + 12
D)
26x2
units
y + 12
3)
Add and subtract the expressions with unlike denominators.
8
3
5
+
x + 4 x - 4 x2 - 16
A)
4)
22x2
5x - 39
(x - 4)(x + 4)
B)
8x + 3
(x - 4)(x + 4)
C)
3x - 5
x2 - 5
D)
16x + 16
x-4
4)
Simplify the expression to lowest terms.
x3 - 36x
x2 - 3x - 10
A)
x(x - 6)
x+2
B)
x2 - 36
-2x - 10
C)
-35x
-3x - 10
D)
cannot simplify
1
5)
6)
A)
x+7
C)
(x + 7)(x2 - 49)
B)
0
Divide.
84x6
y2
A)
8)
9)
10)
B) x – 7
D) x2 - 49
6)
Substitute the given number into the expression and simplify (if possible).
(a + 7)(a + 11)
; a = -9
(a + 9)(a + 4)
A)
7)
5)
Identify the least common denominator.
7x
-5
,
2
x + 7 x - 49
160
117
C)
4
5
D)
undefined
7)
÷
x
21y6
1764x5 y4
B)
84x6 + x
C)
21y2 + y6
4x6
y12
D)
4x7
y8
Translate the sentence into an equation.
The product of 5 and the difference of 13 and the cube root of a number is 17.
3
A)
5(13 -
C)
5(13 - x)3 = 17
B) 5
x) = 17
Solve the equation.
7t + 7 = -9
74
A) t =
7
D)
3
x - 13 = 17
5 3 13 - x = 17
9)
B) t =
-
88
7
C) no
solution
not a real number
C)
-
D)
t = -16
10)
Evaluate the square root, if possible.
121
9
A)
8)
B) -
11
3
D)
2
11
11
and
3
3
11
3
11)
Rationalize the denominator. Assume the variables represent positive real numbers.
n
11)
n- m
A)
12)
n- m
n+m
B)
n - nm
n-m
C)
n + nm
n-m
D)
n- m
n-m
12)
Simplify the complex fraction.
5
9+
t
27 +
5
t2
14
A)
27t + 5
C)
B)
9 + 5t
32
D)
(9t + 5)(27t2 + 5)
t3
9t2 + 5t
27t2 + 5
13)
The current in a wire varies directly as the voltage and inversely as the resistance. If the
current is 8 A (amperes) when the voltage is 40 V (volts) and the resistance is 5
(ohms), find the current when the voltage is 55 V and the resistance is 5 .
A) 11 A
B) 22 A
C) 44 A
D) 4 A
13)
14)
When an object is dropped from a height of 1,000 feet, the time, t, since it was let go can
be calculated using the equation
1,000 - h
t=
16
14)
where h is the height, in feet, above the ground. Find the height of the object after 6
seconds.
A) 409 feet
B) 432 feet
C) 395 feet
D) 424 feet
15)
15)
Divide.
4y - 1
1 - 4y
÷
y2 - 16 y + 4
A)
16y2 - 1
y-4
B)
C)
1
y-4
D)
3
1
4-y
(4y - 1)(1 - 4y)
(y - 4)(y + 4)2