Algebra I semester one review
3. Evaluate and then grid your approximate answer.
a pam production packet
A. The volume of a cone
using the formula
1. Evaluate and grid your answers.
A.  4  3(5)  1
C.
52  2(20)
2
1
V  r 2 h
3
B. 4( x  6) for x=6.25
D.
when
r=2 and h=12. Use
  3.14 .
49
4
B. The perimeter of a
triangle with sides
3,
4 and
5
1
.
2
Round to the nearest
tenth place.
4. In the figures provided, find the area
of each. Use the formulas on the formula
sheet. (The figure is a semicircle with a
rectangle.)
200 feet
180 feet
5. Use the formula sheet to find
the volume of a cube with each side 20 ft.
2. A triangle has area 2000 square feet and the base is
40 feet long. What is the height of the triangle?
A. 50
B. 100
C. 25
D. 75
3. A rectangle has perimeter that is 100 feet, and one
side of the rectangle is 20 feet. What is the length of
the other side of the rectangle?
20 feet
A. 5 feet
B. 60 feet
?
C. 30 feet
D. 40 feet
rev. 05-06
-1-
version 3.0
6. Give the area of the figure below to
the nearest tenth place. The triangle
has sides that are 12, 14 and 16, and the
round things are semicircles. Use   3.14
A.
B.
C.
D.
177.4
249.4
326.3
338.9
9. Solve each equation.
A. 90 
x
_____
3
B. x  8  12 _____
12
14
C.
9
7. A certain grain is sold in boxes. A
box of grain that is 4 inches by 6 inches
by 10 inches feeds 30 chickens. A second
larger box is 8 inches by 6 inches by
20 inches.
A. What is the volume of the big box
described?____
B. What is the volume of the smaller
box described?_____
C. Set up a proportion to find the
amount of chickens that the
larger box will feed.
D. Solve your proportion. How many
chickens will be fed by the smaller
box? ___
A. x  8  2 ______
______
D. 3x  12 _______
16
8. Solve each equation.
x
4

12 16
E. 15x  2
a. x  7.5
2
c. x  
15
b. x  7.5
2
d. x 
15
10. Solve each equation:
A. 7 x  1  27 ____
B. 8x  x  2x  17.5 ______
C.
c
 3  23 ______
10
D. 9x  x  5x  260 _____
E. 3(5 x  10)  3x  12 ____
F. f  12  10
a. f  2
b. f  2
c. f  22
d. f  22
G. 12x 10  10x  20 __________
H. x  4x  5x  16 _______
B.
2 x  101 _______
I.
C.
2
x  60 ____
3
J.
3x
9

5 30
Algebra One Semester One Review 05-06
_______
x  8  1 ______
-2-
15. Choose the algebraic expression for
each verbal expression. (See the choices
below.) MATCHING:
11. The measure of two angles of a
triangle are 50 degrees and 33 degrees.
What is the measure of the missing
angle? _____
A. Four more than twice a number.
B. Four less than twice a number.
12.
x = ____
C. Twice the sum of a number and four.
o
100
3x
40
D. Twice the difference of a number and
four.
o
E. The product of twice a number and four.
F. The sum of twice a number and four.
1
13. Change the equation y  x  3 to
2
Choices:
1. 2x  4
standard form.
A. 2 x  y  6
B. x  2 y  6
C. 2 x  y  6
D. x  2 y  6








3. 2( x  4)
4. 4  2 x
5. 2x  4
6. 2x  4
7. (2 x)( 4)
8. 2x 4
16. Find the next term in the sequence:
x
2x
3x
 y,
 y2 ,
 y 3 , _____
2
3
4
14. What is the equation of the line
graphed below?

2. 2( x  4)







17. An insurance company says that the
probability of a high school student of
1
getting in a car accident is . If there
3
are 1200 students in a school, how many
of them would you predict (using this
data) would get in a car accident?

A. y  4 x  1
B. y  4 x  1
C. y  4 x  1
D. y  4 x  1
A. 36
C. 40
B. 360
D. 400
18. Use the distributive property to
rewrite the expression: 8(2 x  4)
A. 10x  12
C. 16 x  32
Algebra One Semester One Review 05-06
B. 16 x  4
D. 10 x  4
-3-
19. Samuel and Joyce both bought CDs.
Samuel bought 3x CDs and Joyce bought
2x-1 CDs. If each CD had a regular
price of $18 and a discount of $2, then
which expression would show the amount
of discount for all of their CDs?
A. 5x  1
C. 2(5 x  1)
B. 2(4x)
D. 16(6 x )
What is the expression for the COST
of their CDs, combined? (ignore tax)
A. 16(5 x  1)
B. 2(4x)
C.
D. 16(4 x)
2(5 x  1)
C.
________
 | 6 | ______
21. Tell the order of operations to use:
3  5  2  32  2
A. Square, Multiply, Divide, Subtract, Add
B. Square, Multiply, Divide, Add, Subtract
C. Add, Subtract, Multiply, Divide, Square
D. Subtract, Multiply, Add, Square, Divide
22. Which expression represents the
following sentence: Two pounds of
nuts which cost x dollars a pound, and
four pounds of chocolates which cost $3
a pound costs $20.
A. 2x + 3(20) = 4
B. 2(x+4) = 20
C. 2x+4(3)=20
D. 2(x+12)= 20
A. Her salary is one dollar more than
twice John’s salary.
B. John’s salary is twice hers plus $1.
C. Twice John’s salary is the same as
her salary plus one.
D. Twice her salary is the same as
John’s salary plus $1.
Choices:
1. 2H=J+1
2. H=2J+1
3. 2J=H+1
4. J=2H+1
24. Tell the order of operations needed
to evaluate: 4  3  5  2 .
A. Add, Subtract, Multiply
B. Subtract, Add, Multiply
C. Multiply, Add, Subtract
D. Multiply, Subtract, Add
20. Evaluate:
A. | 4 - 10 | _______
B. | 8 |  | 2 |
23. Match the statement with the
equation: (Choices are below)
27. Evaluate the expression in #26. ____
25. Express each in terms of x
(solve for x).
A. 2 x  3  y _________
B.
2  2 x  1  4 y _________
C.
2 A  4x  3B  10 _______
D.
3xyz  P (choose)
a. x  P  3  y  z
b. x  P  3 yz
P
c. x 
3 yz
d. x  P  y  3  z
Algebra One Semester One Review 05-06
-4-
26.
10
25
8
x
30. In a pet store there are five puppies,
four cats, three birds, and one fish.
If a pet is chosen at random, then what
is the probability that it will be a bird
or a puppy ?
Given that the triangles are similar, find x.
A.
27.
2
13
B.
1
4
C.
8
13
D.
1
8
31.
15’
x
6
12
A wall is in the shade of a lamp. If
the shadow is 12’ for the wall, the lamp
is 15 feet tall, and the wall is 6’ from
the lamp, then how tall is the wall?
28. Maria wants to draw a picture that
will be 10 feet wide. The original is
8 inches wide. If the original is 6 inches
long, then how long is the larger picture
going to be?
A. 8 feet
B. 4 feet
C. 7.5 feet
D. 4.8 feet
For each set of coordinates below
tell which set is NOT graphed.
A. (4, 0)
B. (-3, -2)
C. (2, -3)
D. (2, 0)
32. Find the amount of air that can fit
in each container below.
A.
B. radius 8 inches
8
10
29. Maurice wants to paint his house. He
can choose six kinds of white paint and
four kinds of blue. All are different
shades. If he chooses a color at random
then what is the probability that he will
choose blue?
1
4
A.
B.
10
6
4
1
C.
D.
10
2
12 ft
C.
D.
6’
8’
9
7
Algebra One Semester One Review 05-06
-5-
33. Kristy worked at a job and earned
the money graphed. Construct a graph
and label the axes, and title it to show
how much Kristy earned.
35. If Kristy wanted to graph her paychecks
and she made a maximum of $600 and
a minimum of $50 but wanted to start
her graph at $0, what increments would
she use on the graph below?
Tell two things wrong with the graph
below.
$500
$300
$200
$50
MONTHS
Jan
Feb
Mar
Apr
May
June
Months Kristy worked
36. In the graphs below, the water level
of a swimming pool is graphed.
34. If the graph is correct (except
for the two errors you found in #44)
tell which statement is correct for the
pay Kristy earned.
Graph A
A. Kristy was consistent in her
paycheck.
B. Kristy made more money in the
last months graphed.
C. Kristy made a total of $1050.
D. Kristy made more money in the
first months graphed.
Graph B
Choose a description for graph A.
A. The pool’s height increases and
then decreases.
B. The pool’s height is constant.
C. The pool’s height increases with
time.
D. The pool’s height rises and then
stays constant.
Algebra One Semester One Review 05-06
-6-
42. Find the slope of each line below.
37. For x=5 and y=8 grid
A.
2 xy
.
x y
the value of
B.
1
3
c. 3
1
3
d. 3
b. 
a.
C.
38. A tree casts a 20 foot shadow at the same
time of day that a man casts a 12 foot shadow.
If the man is 5.5 feet tall then how tall is the
tree?
b. undefined
d. -1
E.
man
5.5
A.
9
B.
9
C.
1
9
D. 
1
9
40. Find the slope of the line through (4, 6)
and (4, 10).
A. 0
B. 3
C.
1
3
D. undefined
1
3
d. 3
a. 0
c. 1
b. undefined
d. -1
b. 
F.
2
3
c. 
39. Find the slope of the line through (9, 4) and
(0, 5).
1
3
c. 3
D.
a. 0
c. 1
a.
a.
3
2
3
d. 
2
b.
2
3
a.
2
3
c. 
3
2
3
d. 
2
b.
2
3
43. Give the slope of each line with
equation given …
A. 2 y  4 x  8 ____
B. 6 x  5 y  7 ____
C.
3x  y  3
____
41. Find the slope of the line through (4, 6) and
(5, 6).
A. 0
B. 3
C.
1
3
D. undefined
Algebra One Semester One Review 05-06
-7-
44.
Graph y  3 x  2 and tell the slope.
48. Which line is parallel to the graph of
x  2y  9 ?
1
A.
y
C.
3y  6  9x
2
x 1
B.
2y  x  9
D.
y
1
2
x
3
2
49. Which equation is of a
line perpendicular to the graph of
y
4
x9
3
?
3
A. y  x  9
4
Slope of the line above is ____
45. Graph y  4 x  2 and tell the slope.
C.
50.
y
4
3
x 8
B.
y  9
D.
y
3
x
4
4
3
x 8
A man wants to take a limo and it costs
$60 for the trip plus $0.20 per mile
traveled. A taxi would cost $10 for
the trip plus $0.10 for every mile
traveled OVER 10 miles.
A. How much would the limo cost
for a 120 mile trip?
B. How much would the taxi cost
for a 120 mile trip?
Slope of the line shown is _____.
46. Find the y-intercept of the lines below.
A. 2 y  4 x  8 ____
B.
6 x  5 y  7 ____
C.
3x  y  3
3x  y  3
51. The equation of the line shown is…


a. y  4 x  4
____
b. y  4 x  4
47. Find the x-intercept of the lines.
A. 2 y  4 x  8 ____
B. 6 x  5 y  7 ____
C.
C. If the trip costs $90, and the man
took the limo for a trip, how many
miles did the man travel?
c. y  4 x  4
d. y  4 x  4













____
Algebra One Semester One Review 05-06
-8-


52. A squirrel is climbing a tree. She starts
2 feet above ground and climbs up at 3
feet per minute. This is a very slow
squirrel!
55. Tell which relation(s) graphed below
is/are a function.


A.

B.







A. How many feet above ground will
the squirrel be after five minutes?





















B. How high will she be after 10
minutes?





C.
D.












C. How high will she be after x
minutes?




















D. Write an equation for the height
of the squirrel after x minutes.
E.
F.




























E. When will the squirrel be 305 feet
high? Show your work.
53. A bird is 30 feet high, in a tree. A worm
is on the ground. I will call the worm
Harry, although he is not. Harry is 40
feet from the base of the tree. How far
is Harry from the hungry bird?
tweet





56. Tell if each relation listed below is a
function.
A. {(2,3), (0, 3), (4, 2), (5, 6)} _____
B. {(1, 4), (-2, 3), (1, 7}} _______
57. Tell the domain and range of the relation
below.
?
Harry
54. Harry has a cousin, Sidney. Sidney has
climbed the tree, looking for the bird.
Sidney is a psycho worm. The bird is on
Sidney
the ground, digesting Harry.
If the bird
is 24 feet from the
?
base of the tree and
is 25 feet from
Sidney, how high
in the tree is Sidney?
{(2,3), (0, 3), (4, 2), (5, 6)}
domain ___________ and
range ____________
58. For f ( x)  3x2  x find f (2) . ____
59. For f ( x)  3 x  4 find f (10) . _____
Algebra One Semester One Review 05-06
-9-

point- slope y  y1  m( x  x1 )
60. Match the graphs:
A. y  3 x  4
standard Ax  By  C

G1

B. y  3x  4
slope-intercept y  mx  b


C. y  3x  4




D. y  3 x  4






64. What is the equation in point-slope form


of the line with slope


G2

G3






contains the point (4, -9) ?


1
(4  x)
3
1
B. y  9  ( x  4)
3
1
C. y  9  ( x  4)
3
1
D. y  4  ( x  9)
3
A. 9  y 

























G4











1
and which
3




65. Write the equation in standard form
of the line through the point (4, -1)

61. Which point is in quadrant IV?
A. (-1, 2)
B. (2, 1)
C. (2, -1)
D. (-2, -1)
1
.
3
A, x  3 y  1
C. x  3 y  7
with slope
62. Combine like terms:
a. 3x  5  x _________
D. 3x  y  11
66. Write the equation in slope-intercept
for of the line through (4, -1) with slope
b. 4 x  5 y  x  7 y _________
1
.
3
c. 6  7 y  1  10 y _________
63. Match.
A. x  3
B. y  3
B. 3x  y  11
A. y 
p
1
x 1
3
C. y  4 x  1
1
7
x
3
3
1
D. y   x  1
3
B. y 
C. x  y  3
D. x  y  3
q
r
s
Algebra One Semester One Review 05-06
- 10 -