Download Algebra Spring Break

Algebra Spring Break
Date:
Name:
1.
The expression
A.
2.
4.
5w
2
is equivalent to
B.
2w 8
C.
20w 5
D.
20w 8
Which represents an irrational number?
A.
3.
2w 5
10w 3
0
B.
3
4
C.
p
3
D.
6
5
D.
p
The sentence 3 + (5 + 2) = (5 + 2) + 3 illustrates
A.
the commutative property of addition
B.
the associative property of addition
C.
the distributive property of multiplication over addition
D.
the additive identity element
What is the multiplicative inverse of
A.
1
B.
5
?
6
6
5
C.
page 1
5
6
4
5.
Which expression is equal to (x + 3)2 ?
A.
6.
12
C.
(3x + 1)(x
2)
2xy(x
2y)
B.
3x + 1
B.
(3x
C.
x
2
4
D.
x 2 + 3x + 9
2x 2 + x
D.
2x 2
12
D.
(3x
2)(x + 1)
B.
2xy(xy
D.
2x 2 y 3 (y
B.
D.
x +1
x +2
12
2 is equivalent to
1)(x + 2)
Expressed as a fraction in lowest terms,
A.
x 2 + 6x + 9
3 and x + 4 can be expressed as
Expressed in factored form, the binomial 2x 2 y
A.
9.
2x 2 + 5x
x2 + 9
Written in factored form, the trinomial 3x 2 + 5x
A.
8.
B.
The product of 2x
A.
7.
x2 + 6
C.
(3x + 2)(x
1)
4xy 3 is equivalent to
4y)
C.
2xy(x
2y 2 )
2)
x2 x 2
, x 6= 2, is equivalent to
x2 4
x
x +2
C.
page 2
x
x
1
2
Algebra Spring Break
10.
Which expression is unde ned if x = 6?
A.
11.
B.
The solution set of x 2
A.
12.
x6
f1; 5g
n
If dx
A.
14.
6
2
p o
3
B.
f 1; 5g
B.
n
2
4x
1
x +6
D.
C.
f2; 3g
D.
n
4
D.
1
x
6
f 2; 3g
1 = 0?
p o
5
C.
p o
12
n
4
p o
5
2 = h, then x is equal to
h+
2
d
B.
h
2
d
What is the solution set of the equation j2
n
A.
C.
5x + 6 = 0 is
What is the solution set of the equation x 2
A.
13.
x
f 1g
B.
1;
7
3
C.
h+2
d
C.
f5;
D.
h
+2
d
D.
fg
3x j = 5?
o
page 3
5g
Algebra Spring Break
15.
What is the graph of the solution set of 15 < 3x + 5 < 21?
A.
!
3
4
5
6
6
7
8
9
C.
16.
17.
18.
B.
!
D.
!
…

3
4
5
6
6
7
8
9
!
…

Which diagram is not the graph of a function?
A.
B.
The domain for f (x) = x 2
3 is 0
A.
B.
0
C.
x < 4. The smallest value in the range of f (x) is
16
C.
What is the domain of the function f (x) =
A.
n
o
x j x = 12
B.
D.
n
xjx
1
2
p 4
2x 1
3
D.
4
over the set of real numbers?
o
C.
page 4
n
o
x j< 12
n
D.
x j>
1
2
o
Algebra Spring Break
19.
At which point will the graphs of the equations 2x + y = 8 and x
A.
20.
(4; 0)
C.
( 4; 0)
D.
(5; 2)
y = 3x + 4
y = 13 x + 4
B.
C.
y = 3x
1
D.
y = 3x + 1
The graph of which inequality is shown in the accompanying diagram?
A.
22.
B.
Which is an equation of the line that passes through the point (1; 4) and has a slope of 3?
A.
21.
(0; 4)
y = 4 intersect?
y>2
B.
x>2
C.
y
2
D.
x
2
The graph of which inequality is shown in the accompanying diagram?
A.
y > 21 x + 1
B.
y
1
x
2
+1
C.
y < 21 x + 1
page 5
D.
y
1
x
2
+1
Algebra Spring Break
23.
Which equation is represented by the accompanying graph?
A.
24.
y = jx j
A.
y = (x
3)2 + 1
C.
y = jx + 3j
1
D.
y = jx
D.
0
3j + 1
2x
1
B.
2
C.
3
Consider solving x 2 + 12x + 5 = 0 by completing the square. At which of the following equations will you
arrive?
A.
26.
B.
In how many points do the graphs of these functions intersect?
y = x2
y =x
25.
3
(x + 6)2 = 31
B.
(x
6)2 = 31
6)2 = 41
C.
(x
C.
f 3; 1; 5g
D.
(x + 12)2 = 139
D.
f3; 1; 5g
What is the range of the function
f (x) = 2x + 3
when the domain is f 3; 1; 1g?
A.
f0; 2; 4g
B.
f9; 5; 3g
page 6
Algebra Spring Break
27.
What are the next three terms in this arithmetic sequence?
33, 27, 21,: : :
A.
28.
14, 8, 2
B.
15, 8, 2
C.
15, 9, 2
D.
15, 9, 3
D.
384, 1536, 6144
1
x
What are the next three terms of the geometric sequence?
3, 12, 48, : : :
A.
29.
144, 432, 1296
144, 576, 2304
C.
192, 768, 3072
Find the average rate of change for the the following equation over the interval
y = 3x 2
A.
30.
B.
8
3.
12x + 17
B.
0
C.
6
D.
8
D.
35
Find t21 for the arithmetic sequence where t7 = 19 and t10 = 28.
A.
61
B.
58
C.
page 7
14
Algebra Spring Break
31.
32.
Let f (x) = (x + 3)2 and g(x) = f (x)
7. Which of the following shows g(x) ?
A.
B.
C.
D.
Which of the following graphs represents exponential decay?
A.
B.
C.
page 8
D.
Algebra Spring Break
33.
A pump is draining 12,000 gallons of water out of a swimming pool. The pump drains at a constant rate
of 360 gallons per hour.
Which of the following equations expresses the relationship between x, the number of hours the pump
has been draining the pool, and y, the number of gallons of water left in the pool?
A.
34.
y = 360x
12; 000
B.
y = 360x + 12; 000
C.
y = 12; 000
360x
D.
y = 12; 000 + 360x
The manager of an apartment building increases the monthly rent of each apartment in the building by
3% each year. At the beginning of year 1, the monthly rent of an apartment was $500.
What was the monthly rent of the apartment at the beginning of year 3?
A.
35.
B.
$530.45
C.
$530.00
D.
$515.00
The New York Volleyball Association invited 64 teams to compete in a tournament. After each round, half
of the teams were eliminated. Which equation represents the number of teams, t, that remained in the
tournament after r rounds?
A.
36.
$546.36
t = 64(r )0:5
B.
t = 64( 0:5)r
C.
t = 64(1:5)r
D.
t = 64(0:5)r
D.
9
8
What is the slope of the line that passes through the points (2; 5) and (7; 3)?
A.
5
2
B.
2
5
C.
page 9
8
9
Algebra Spring Break
37.
Which equation represents the axis of symmetry of the graph of the parabola below?
A.
38.
B.
x= 3
C.
y = 25
D.
x = 25
The length of a rectangular room is 7 less than three times the width, w, of the room. Which expression
represents the area of the room?
A.
39.
y= 3
3w
4
B.
3w
7
C.
Which value of x is the solution of the equation
A.
6
B.
3w 2
4w
D.
3w 2
D.
30
7w
2x x
+ = 5?
3
6
10
C.
page 10
15
Algebra Spring Break
40.
The sum of two numbers is 47, and their di erence is 15. What is the larger number?
A.
41.
42.
B.
31
C.
32
What are the vertex and axis of symmetry of the parabola y = x 2
D.
36
16x + 63?
A.
vertex: (8; 1); axis of symmetry: x = 8
B.
vertex: (8; 1); axis of symmetry: x = 8
C.
vertex: ( 8; 1); axis of symmetry: x = 8
D.
vertex: ( 8; 1); axis of symmetry: x = 8
When 4x 2 + 7x
A.
43.
16
5x 2 + 5x
5 is subtracted from 9x 2
2
B.
5x 2
2x + 3, the result is
9x + 8
What is the additive inverse of the expression a
A.
a+b
B.
a
C.
5x 2 + 5x
C.
a+b
2
D.
5x 2 + 9x
D.
a
8
b?
b
page 11
b
Algebra Spring Break
44. Which ordered pair is in the solution set of the system of linear inequalities graphed below?
A.
45.
(1; 4)
B.
( 5; 7)
Factored completely, the expression 3x 2
A.
3(x 2
x
6)
B.
3(x
C.
3x
(5; 3)
D.
( 7; 2)
D.
(3x + 6)(x
18 is equivalent to
3)(x + 2)
C.
page 12
(3x
9)(x + 2)
3)
Algebra Spring Break