Download Practice Exam Semester I Alg I Honors

Algebra I H
Semester One Review
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1. Evaluate for x  3, y  4
a. 7 x 2  3 y  8
b. 4 x 
24
xy
c.  5 x 2  2 y  1
4  x2
x  y
3( x  y )( x  2)
e.
6 x
5. Solve for x. (all variables represent
nonzero numbers.)
A. 2 x  2 y  8
2x
B.
ph
y
3
C. 3 x   a
y
d.
2. Simplify:
a.  2( x  3 y )  x
b.
4(3 x  y )  2(5 x  6 y )
c.
xxx y y

3
2
3. For x  2(3)(r  s) for r  1, s  4 ,
6. Match…
A.
B.
C.
D.
Reals less than four
Reals less than or equal to four.
Integers less than four.
Integers less than or equal to
four.
E. Integers x such that |x|=4
a.
1
choose the correct comparison.
a. x  0
b. x  0
2
1
b.
2
3
3
4
4
c. x  0
d. Cannot be determined
4. Name the property for each example.
d.
A. x( y  z )  xy  xz
B. x( y  z )  x( z  y )
-4
c.
e.
4
1
2
3
1
2
3
4
C. x( y  z )  ( y  z ) x
D. x  ( y  z )  ( x  y )  z
E.  4  4  0
89
  1
98
8
8
G. 1 
9
9
F.
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Algebra I H
Semester One Review
a pam production packet
7. For each number, tell if it is rational or
irrational.
4
5
B. 0.3
A.
C. 
D.
2
E. 0.12532
9. Solve and choose the solution:
5(3x  4)  3  6 x  7
3
10
14
C. x 
9
A. x 
10
3
9
D. x 
14
B. x 
10. Translate each sentence into an algebraic
sentence.
F . 0.589589589...
8. Solve each equation.
A.  2 x  4  90
A. Twice the sum of two
numbers, x and y, is 70.
B. Half the difference of two
numbers, x and y, is 2.
x
 9
3
8
C.
x  72
9
x
D. 4   8
2
C. The cost C is four less than
twice the size S of the item.
E. 25  8  2 x
E. Five times the difference of x
and y, divided by the product of
x and y, is 2.
B.
F . 4 x  6 x  9( x  4)  2
G. 10 x  (2  8 x)  4  5(3  9 x)
D. Twice the sum of the rent R
and the monthly cost of
water W is equal to forty.
F. The quotient of 4 and the sum of
x and y is 10.
H . 3( x  7)  9(4 x  5)
I . 4 x  7  14  8 x
J . 2(5 x  7)  2  10 x
K.
3
x  12  6
8
11. Absolute Value!
A. | 12  14 |  | 8 |
B.  6 | 3  9 |
12. Choose the algebraic expression for
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Algebra I H
Semester One Review
a pam production packet
each verbal expression. (See the choices
below.) MATCHING:
equation: (Choices are below)
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.
A. Four more than twice a number.
B. Four less than twice a number.
C. Twice the sum of a number and four.
D. Twice the difference of a number and
four.
E. The product of twice a number and four.
Choices:
1. 2H=J+1
2. H=2J+1
3. 2J=H+1
4. J=2H+1
F. The sum of twice a number and four.
Choices:
1. 2x  4
2. 2( x  4)
3. 2( x  4)
4. 4  2x
5. 2x  4
6. 2x  4
7. (2 x)( 4)
8. 2x 4
13. Tell the order of operations to use:
16. 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
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
17. Can you distribute?
A. Write without parentheses
3(6 x  5 y )
B. Solve: 2d  5(d  10)  34
14. 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.
C. Simplify: 3( x  4)  ( x  6)  2( x  1)
D. Solve: (3  x)  (4  x)  10
11
2
3
c. 
2
a. 
A. 2x + 3(20) = 4
B. 2(x+4) = 20
C. 2x+4(3)=20
D. 2(x+12)= 20
15. Match the statement with the
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b.
3
2
d. no solution
2
3
E.  (6 x  12)  10
18.
Factor each expression.
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Algebra I H
Semester One Review
a pam production packet
A.
x 2  81
A.
7 x
B.
9 x 2  25
B.
3xy z  (2 xyz ) ______________
C.
2  8x2
C.
19. Factor:
A.
B.
C.
D.
4 xy 2  x 5 y  xy ____________
2 x 2  18 ___________________
4 x 2 y  8 xy 2  2 _____________
x 2  3x  28 _______________
D.
E.
2

yz 6 2 xy 3 z
 ______________
2 5 3
12 xy 3 z
9 x 2 yz 2
______________
8 x3 x 2
12 xy3 y 4
 6x x 
2 3
0
_____________
____________
3
 5x2 
F. 
________________
 2 


20. Perform the operations indicated.
A.
(5m 2  6m  12)  (5m  12  m 2 )
B.
(5m 2  6m  12)  (5m  12  m 2 )
C.
(3m  4)(m  8)
D.
(m  4)(5m 2  m  1)
E.
(4m  5) 2
21. Which is NOT a factor of
A.
x3
x2  3
B.
x 4  81
?
x3
x2  9
C.
D.
E. All are factors
22. Which is a factor of
A. x-2
C. x-4
x 2  2 x  24 ?
B. x+2
D. x-6
24. Perform the following operations; assume all
expressions are defined.
A.
2x  x 2 4

x2  4 2x
B.
x 2  3x  4 x 2  x

x4
16  x 2
C.
3y
 (4 y )
2x
D.
E.
x 2  6x  9 x 2  4x  3

x2  9
x2 1
1
(45 xyz )( x)
3
23. Simplify for xyz  0 .
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Algebra I H
Semester One Review
a pam production packet
25. Solve the proportion:
x
1
.

2 x 1
26. Solve the proportion:
5
9
.

6x x  2
30. Solve:
A.
C.
27. A lottery is started in Tampa. A player
chooses a number between 1 and 50.
A. What is the probability that a
player chooses a number randomly
and the number is even?
B. What is the probability that a
player chooses a number randomly
and the number is a perfect square?
5
2
 12 
x
3x
13
36
36
13
B.
D.
 36
13
 13
36
31. Which is NOT an acceptable way to grid
the number
A.
5
4 /5
B.
5
4
5
?
5 . 8
C.
29 /5
C. What is the probability that a
player chooses a number randomly
and the number has two digits?
D. What is the probability that a
player chooses a number randomly
and the number is 5 or 15?
E. What is the probability that a
player chooses a number randomly
and the number is a multiple of 5?
28. For
xy  0
simplify
29. Solve the equation:
A.
42
13
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B.
13
42
2 x 3 y 2  4 xy 4
2 xy
7
5x x

3 2
C.
35
6
D.
32. Joe is a boss and his company says he
has to pay his employees an average of
$25 an hour. He has six employees and
five of them make $40, $10, $10, $12 and
$30 an hour. In the box below, set up
an equation to find what to pay the last
employee to make the average $25. THEN
solve it.
THINK
SOLVE
EXPLAIN
6
35
Equation:
Solution:
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Algebra I H
Semester One Review
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33. 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
34. 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 ?
2
13
8
C.
13
A.
A. How many students took the test,
according to the table? ___
B. What was the median grade ? _____
C. What was the mode grade?_____
38. Solve each equation:
will be 10 feet wide; it will be an
enlargement of a smaller picture. The
original is 8 inches wide by 6 inches long.
How long will the larger picture be?
B. 4 feet
D. 4.8 feet
36. For the data given, give the statistics.
12.5, 12.8, 12.8, 12.0, 13.2, 12.1, 12.3
A. m2  5m  6  0
B. x 2  7 x  10
C. 5 x  x 2  24
39. Simplify:
15
2x
4
C.
x
A.
40. Simplify:
Median:______
Mode: _______
Frequency
5
4
4
2
2
E. What was the mean grade?_____
35. Maria wants to draw a picture that
Mean: _______
Grade
90%
80%
70%
60%
50%
D. What was the range?______
1
4
1
D.
8
B.
A. 8 feet
C. 7.5 feet
37. The grades and frequency of Ms.
Menendez' class' test grades are
below, for the last test.
41. Add:
3 5

x 2
5x  6
2x
5  5x
D.
2x
B.
3 4( x  1) x


2
3
6
9
1
1


x y yx x y
Range: ________
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Algebra I H
Semester One Review
a pam production packet
42. Mike, Jan and Shemika are comparing ages.
Mike says he is four years older than
Shemika, and Jan said she was one and a half
times Shemika's age. Shemika said "why are
you both talking about me? You BOTH are
old! And together we total 32 years old!"
46. Solve for
A.
B.
w:
1
V  lwh
3
S  2lw  l
How old is Mike?____
Jan?____
Shemika?______
43. To get my pay, you multiply my hourly
rate times the number of hours I work. I
worked 16 hours more than I got paid (in
dollars) hourly. If I made $80, how much
was my hourly pay?
A. $9
C. $4
B. $8
D.$2.99
44. The ratio of men to women in a small
college is 11:12. If women number ten
less than twice the men, then how many
men are there?
C
45.
study
hard!
15
12
A
B
x+6
T
6
R
4
S
ABC ~ RST , then set up a proportion
and solve it, to find the value of x.
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