Download Name Algebra 1 Final Exam

Q2 Benchmark Review
(A.4a)
1.
9
Solve for C: F  C  32 .
5
Set 4
3.
Solve the following for r:
C  2π  r
A
5
C  F  32
9
A
2C
π
B
9
C  F  32
5
B
π
2C
C
5
C  (F  32)
9
C
C
2π
D
2π
C
D
2.
A
B
C
5
F  32
9
Solve for h: V 
3V
π  r2
V
3π  r 2
C
3r 2
Vπ
D
3Vπ  r 2
1
π  r 2h
3
4.
Solve for h: A =
A
h=
B
h=
C
h=
2b
A
D
h=
A
2b
Ab
2
2A
b
1
bh
2
Q2 Benchmark Review
5.
Which property of equality
does this illustrate?
Set 4
9.
The first step in solving
2a + (a + 3) > 8 leads to
(2a + a) + 3 > 8. This step is
an example of which property?
A
B
C
D
associative property of inequality
commutative property of inequality
distributive property of inequality
addition property of inequality
If x  y  z , then z  x  y .
A
B
C
D
reflexive property
transitive property
addition property
symmetric property
6.
Which property of equality is
this?
“Every number is equal to
itself”; for example, 3 = 3.
A
B
C
D
reflexive property
transitive property
addition property
symmetric property
7.
Which property of the real
numbers is illustrated?
(3x )y  3(xy )
A
B
C
D
closure property
commutative property
associative property
transitive property
8.
Which property of the real
numbers is used here?
4(x  2)  4x  8
A
B
C
D
distributive property
associative property
commutative property
closure property
Q2 Benchmark Review
Set 4
Use this sequence to answer the
next three questions.
3(x + 4) + x = (3x + 3  4) + x
(3  4 + 3x) + x
12 + (3x + x)
12 + 4x
Step 1
Step 2
Step 3
Step 4
1
1  4 x  , step I
4
through step IV below were
completed.
13. To simplify
=
1
1
1   4 x 
4
4
II.
=
1
1 
1    4  x
4
4 
III.
=
1
1  1 x
4
IV.
=
1
x
4
I.
1
1  4 x 
4
10. How do you justify Step 1?
A
B
C
D
associative property of
multiplication
commutative property of
multiplication
distributive property of
multiplication
additive identity
Which properties were used
for steps I and II?
11. How do you justify Step 2?
A
B
C
D
associative property of
multiplication
commutative property of addition
distributive property of
multiplication
additive identity
12. How do you justify Step 3?
A
B
C
D
associative property of addition
commutative property of
multiplication
distributive property of
multiplication
additive identity
A
the distributive and associative
properties of multiplication
B
the distributive property of
multiplication and the property of
reciprocals
C
the identity and the distributive
properties of multiplication
D
the identity property of
multiplication
Q2 Benchmark Review
Set 4
14. In solving the equation, 2x  5  33 , the following steps and reasons are
given.
Step
1. 2x  5  33
Reason
1. given
2. (2x  5)  5  33  5
2. subtraction property of equality
3. 2x  (5  5)  33  5
3. ???
4. 2x  0  28
4. additive inverse property
5. 2x  28
5. addition
6.
2x 28

2
2
7. x  14
6. division property of equality
7. division
Which of the following properties correctly justifies step #3?
A
B
C
D
commutative property of addition
subtraction property of equality
additive inverse property
associative property of addition
Q2 Benchmark Review
(A.4d)
15. What is the solution to
5n  4  21 ?
A
B
C
D
n = 5
n = 3
n= 3
n= 5
16. What is the solution to
4(n  1)  2(11  n ) ?
A
B
C
D
n=3
n=4
n=7
n = 13
17. What is the solution to
2
n  24 ?
3
A
B
C
D
n = 12
n = 16
n = 36
n = 72
Set 4
18. What is the solution to
4(x  1)  8 ?
A
B
x= 1
x= 2
C
x=
D
3
2
4
x=
3
19. Solve this equation for y.
(2y – 5) – 8 = (3 – y) + 2
A
B
C
D
y=2
y=4
y=6
y = 18
20. Mrs. Corbett rented a truck to
move some furniture. The
rental charge is $60 plus $0.25
per mile. She wants to spend
no more than $180, not
including tax. What is the
maximum number of miles that
she can drive the truck?
A
B
C
D
85 miles
360 miles
480 miles
720 miles