Name:
Class:
Date:
ID: A
Algebra Semester I Exam
What word phrase can you use to represent the algebraic expression?
I. 5x+2
a. five times the sum of a numberx and
b. two times the sum of a numberx and
c. a number x times the sum of five and
d. the sum of five times a numberx and
two
five
two
two
What is the simplified form of each expression?
2.
33
a.
32+12÷4
29
b.
29
c.
3. EvaIuate+xi”, foru=20,x=4,i’7.andz
a.
294
b.
198
437
d.
867
d.
786
10.
c.
900
I
3j)
47
).
b.
4
c.
65
d.
5
-
91
a.
-
b.
c.
6. Whatisthevalucof whenx=2 andy= 7
4
5
3)
15
b.
4
-j
d.
27
15
d.
What is the simplified form of each expression?
7. (2Im+27)
a. 63n,+9
c. 7,,,+8l
b. 71,1+9
d. 7iiz+27
8. Which ordered pair is a solution of the equation y = —9x + 4?
a. (lO,—86)
c. (6,41)
b. (4, —58)
d. (—6, 57)
9. Simplif’ the expression 6ab + 3ab 7ab. What is the coefficient of the simplified expression?
—
a.
a
b.
ab
c.
2
d.
h
Name:
ID: A
10. The formula F =
C + 32 changes a temperature reading from the Celsius scale (‘to the Fahrenheit scale F.
What is the temperature measured in degrees Fahrenheit when the Celsius temperature is 10°C?
50°F
a.
b.
—14°F
c.
18°F
C.
-l
d.
34°F
56
d.
8
8
3
ci.
8
What is the solution of the equation?
II. w—2=—3
a.
h.
—5
d.
6
a.
—
c.
12
d.
—35
12.
13.
153
D
a.
17
4D
C.
j53
14.
b÷6
10
=
D
IS.
17
a. 44
b.
5d—d—2d÷8—3d=0
a.
-
b.
—D
—4
8
—-
D
c.
c.
—
16. 70—7(—2—2:)
a. 4
17. —4x—9=—5 —6x
?. 4
IS. —ópt7
=
b.
—28
c.
—112
d.
784
I,.
I
c.
—I
d.
2
3(2p—3)—4(—lO+4p)
a. p6
b. p5
c. p7
d. pI2
19. A flock of Canadian geese migrated 1623 miles in 28 days. What was Ihe average rate at which these geese
traveled in miles per day?
a. 73 miles per day
c. 47 miles per day
b. 113 miles per day
d. 58 miles per day
‘7
Name:
ID: A
What is the solution of the proportion?
,
—
—8 —2
a. 76
b. —152
c.
d.
—38
16
In the diagram, the figures are similar. What is x?
21.
9cm
x
Drawing not to scale
22.
a. 18cm
b. 11.9cm
145% of what number is 870?
a. 60
b. 6000
c.
14.1cm
c.
d.
6
600
d.
5.8cm
d.
6
What inequality represents the verbal expression?
23. 8 less than a number
a. 11—8<,,
b. ,—8<ll
ii
is less than II
c.
d.
8—n< II
11<8—n
Which number is a solution of the inequality?
24. 33x—l5
b.
6
5
25. Suppose you had ddollars in your bank account. You spent $12 but have at least $51 left. how much money
did you have initially? Write and solve an inequality that represents this situation.
a. d+125l;d75
c. d—l251;d63
b. d-t1251;d75
d. d—12>5l;d>63
26. 4x+6<—6
b.x>—3
a. x<—3
c. x>—6
d. x<+6
27. 6(’k— II)> 12
a. 13
b. 12
c. —13
d. IS
3
TO: A
Name:
What are the solutions of the inequality?
28. —2(3x+2)—6x—4
a. x0
lix
c.
d.
all real numbers
no solution
In set builder notation, how do you write the solutions of the inequality?
29. 3x*104
a.
{xlx—2}
b.
{xlx2}
.
d.
{xIx2}
30. What is the graph of(—a,—8) or (6.)?
(
ii
II II)
(
I
I
II
III
a.
b.
(
C.
(
d.
10
I
ii
7
1.
7
6
H
4
S
4
2
I
I
9
9
H
7
6
10
9
K
7
6
3
Ill
( 0
2
5
I
I
3
I
2
I
I
I
3
3
5
I
I
I
I
II
I
0
I
II
2
I
I
0
II
I
2
II
3
2
5
—I
I
I
2
0
I
I
I
I
I
5
11111
I
II
H
13111
I
II
iii
LetX= {x xis a whole number less than 15), Y
greater than or equal to 5.5).
2
I
II
I
3
5
0
7
H
9
I,
I
I
I
7
SO
11101
4
5
1.
II
0
I
Ii)
II
I
I
10
II
I
I
10
II
7
S
11111
C,
7
3
3
5
II
I
I
H
II)
II
0
{x xis a multiple of3},Z= {x xis a real number
31. WhatisXmZ?
a. {6.7.8.9.l0.ll.12.13.14}
b. 6.9.l2.l5)
c. {56.7.&9.10.ll.l2.l3.l4.l5}
d. 0
32. The ordered pairs (I. I), (2. 4), (3, 9). (4. 16). and (5. 25) represent a function. What isa rule that represents
this function?
a.
b.
v=x
v=2T
c.
y=x+2
d.
y=Zr
4
Name:
ID: A
33. A taxi company charges passengers $1.00 for a ride, and an additional $0.30 for each mile traveled. The
function rule C = 0.30,;i + 1.00 describes the relationship between the number of miles in and the total cost
of the ride e. lfthe taxi company will only go a maximum of4O miles. what is a reasonable graph of the
function rule?
Ix
I6
2
(I
3%
I
Ii
IX
4}
20
II)
I
IX
TJ
I
I
Dli
1I)
I f
Ii,
Iii
iii
-
I -I
2
III.
g.
3.
III
20
iI
lii
1(1
ii
5
DII
II)
1(1
ii,
Name:
ID: A
34.
Identify the mapping diagram that represents the relation and determine whether the relation is a function.
{(-8. -6). (-5.2), (--8.1). (7. 3)}
The relation is a function.
The relation is not a function
d.
b.
The relation is a function.
Find tile
SlOpe
The relation is not a function.
of the line.
35.
V
—
,
I
3
If
Lt i1
a.
b.
-
c.
6
—2
d.
2
Name:
ID: A
What is the slope of the line that passes through the pair of points?
36. (—5.5, 6.1), (—2.5, 3.1)
a.
b.
—
I
c.
—1
d.
For the data in the table, does y vary directly with x? If it does, write an equation for the direct
variation.
37.
x
16
32
48
a.
b.
4
16
36
yes;y=2x
yes; y = 4x
c.
d.
yes;ySx
no;)’ does not vary directly with x
What are the slope andy-intercept of the graph of the given equation?
38.
v=—4x+2
a. The slope
b. The slope
c. The slope
d. The slope
is —2 and they-intercept is -4.
is 2 and they-intercept is —4.
is 4 and they-intercept is—2.
is
and they-intercept is 2.
Write an equation of a line with the given slope andy-intercept.
3
39.
a.
vx+4
c.
b.
yjx—1
d.
7
ID: A
Na me:
Write the slope-intercept form of the equation for the line.
40.
11
j f
i
a.
b.
I.4x—0.6
v—l.4x—0.6
y
c.
d.
v—l.4x+0.6
i’1.4x±0.6
Write an equation in point-slope form for the line through the given point with the given slope.
4L (8. 3); i,:6
a. i’÷3=6(x—8)
b. i’—3=6(x—8)
c.
d.
8
y—3=6+8)
y+3=6x±8
Name:
ID: A
Match the equation with its graph.
42. —4x—2i’8
4 4
ii
1-
(
8
10
II)
L
P HI
-N
-
T
S
,
-
1
iI
x
/
H{Z/ L
tA: L: it: :
li-I
T1°
4
I I
I
it
t -1- f
1.-
I I
1
K
‘-6-
;
—
*
-6
I 1 :1]
F
I
-F
-I
+
-F
F-
I
t
F
--I
-
1
I
Write an equation for the line that is parallel to the given line and passes through the given point.
43. v=5x—8:(2. 16)
a.
y=5x—78
c.
b.
i’5x+6
d.
9
vx±6
Name:
ID: A
Write the equation of a line that is perpendicular to the given line and that passes through the given
point.
44. vx—;(—442)
a.
C.
8
b.
IX
d.
What type of relationship does the scatter plot show?
45.
IS
.
.
2
ID
8
.
I
a.
b.
c.
2
3
5
6
7
S
)
r
positive correlation
negative correlation
no correlation
l0
8
8
18
N a me:
ID: A
What is the solution of the system? Use a graph.
40.
VLttI
v—3x— I
T•[
I
-t’
\
t /
\4
t
1/
flu
/
H\/
I
I
(0-l
L1
f
‘t
I T J4I I T’
I
Th”t
f
\
(fldflI
+
4
x
I
I
t
A.
!
_
f
t
S
t
H):
F
F
U
+
I
F
L
i/H
1
What is the solution of the system? Use substitution.
47. 2.x—v=—7
4x—y=—4
a. (—1.5,4)
b.
(1.5, 10)
c.
(4,—l.5)
d.
(—l.5,—2)
d.
(30, —2)
What is the solution of the system? Use elimination.
48. —12r—v=6
17x+v=4
a. (—30,2)
b.
(—2,30)
c.
11
(2, —30)
4anic:
ID: A
What is the solution of the system? Use elimination.
4i.
DXtOV=—29
7x—2v=—67
‘
50.
L
‘‘
I 10fi
‘8)
/
I
.
.,
—.
Mike and Kim invest $12,000 in equipment to print yearbooks for schools. Each yearbook costs $5 to print
arid sells for $15 How many yearbooks must they sell before their business breaks even?
b. 1,200 yearbooks c. 2400 yearbooks
a. 800 ycarbooks
d. 1,800 yearbooks
12