r
Name:
Class:
Algebra 2 Study Team Test Chapter
Date:
ID: A
1
Multiple Choice
Identifu the choice that best completes the statement or onswers the question.
l.
orderthe numberr2,-+, t[],-0.aq48, rrfrom
a.
to greatest.
z, -+,
-0.6448, o
b.
-|,-o.e++8, \$,2, n
c.
-],-o.a++8, t$, n,2
n, z, r.t2 , -o.6449, -+
least
2.
Identifu the property demonstrated by the
equation 3(5 + 2) = 15 * 6.
a. Closure Property
b. Commutative Property
c. Associative Property
d. DistributiveProperty
6.
Classify the statement as sometimes, always, or
never true.
-
^$,
d.
5.
c+(-c) =dwhered=8
a.
b.
c.
Use interval notation to represent the set of
numbers-7<xs3.
a. (-7,3)
b. (3, -71
c. [-7,3)
d. {-7,3}
-r-
7.
Write the set in set-builder notation.
( + I I I I tT1
-8 -6 -.{ -2
a.
b.
I I I IO I I I I )
0 2 4 6 8x
{rt -r<x.a}
c. {rt-r.x.a}
d.
*t.
of
a.
+{;
b.
"/rs
additive inverse:
multiplicative inverse:
b.
additive inverse:
c.
|;
-|
50
9S
r/+q
2
a.
(48- l2) -4 * 48-(12 -4)
Simpliff the expression
[-3,4)
4. Find the additive and multiplicative inverse
Sometimes true
Always true
Which example shows that the Associative
Property does not hold for division?
a. (24+3)+2 *24 +(3 +2)
b. l8 +(3 +6) * l8 +(6 +3)
c. 8l +3 +3 * 81+(3 +3)
d.
8.
[-3, 4)
Never true
d.
25
49
5
v
|;
multiplicative inverse:
-|
c.
additive inverse:
d.
multiplicative inverse: 0
additive inverse: -f^-:
2'
|;
multiplicative inverse:
2
3
"t\
ID: A
9.
Slmplifl,
{
{s
15.
by rationalizing the denominator.
-
^/3s
5
b.
c.
7
rhs
b.
c.
d.
"/7
5
d.L
5
10.
16.
c.
c. -4
d.0
17. Simplifu the expression (-5a)2( o'b)t.
.
t2. Evaluate the expression g + s for g : 9 and s:
a. 12
b.6
c. 27
d. 13
Evaluate
a. lL
b.
c.
6+x-9+7
for
x=7.
3.
6s2 -3s +
t
25atzbs
-2sat2 bs
-25a20 bs
the expression
6'(M
2.16 x
answer in scientific notation.
a.
b.
c.
d.
x
v
2
5
8
17
0
0
_J
a.
b.
c.
d.
l0-"
. write the
3.06x10-t2
3.06x10-3
3.06x1 06
3.06x10r2
19. Give the domain
_13
14. Simplifu the expression s2 -3s+ t+5s2
a. 5s2 -3s+r
b. 3s2 +t
c. ^2
ls +t
25a20 bs
18. Simplifr
-50
d. ll
d.
a.
b.
c.
d.
10
x
Assume
all variables are nonzero.
l0x
l0 -.r
d. l0+x
13.
Simplifu the expression 1+;-t1Z;0.
b.+
Write an algebraic expression to represent the
number of letters Isabel wrote.
Isabel wrote l0 letters to friends each month for
x months in a row.
a.
b.
l0; 110 miles
360x + 10; 420 miles
I
b. 8 a/e
c. 8{t
d. D{T
l
l0x+360;380 miles
360x+
a.T
Add.
ror/f + 2{3
a. 12
I
Murphy's motorcycle gets 55 miles per gallon of
gas on the highway and 45 miles per gallon in the
city. The motorcycle holds 8 gallons of gas.
Write and simplifu an expression for the total
number of miles Murphy can travel if he has a
full tank of gas but uses 2 gallons on the highway
and the rest in the city.
a. 10x+360;270 miles
and range of the relation.
-5
D:
D:
D:
D:
{-3, 0, 2, 8};R: {-5, 0, 5, 17}
{-5, 0, 5, l7}; R: {-3, 0, 2, 8}
{2,8, -3, 5,17, -5}; R: {0}
{-3, 2,8); R: {-5, 5,77}
20.
Determine whether the relation is a function.
Antonio's ase (vears)
Antonio's heieht (inches)
a.
No, the relation is not a
ll
t2
l3
l4
l5
l6
60
6l
62
67
69
69
function.
Yes, the relation is a function.
b.
22.
21. Use the vertical-line test to determine whether
the relation is a function. If not, identify trvo
points a vertical line would pass through.
a.
b.
Which is an element of the range of the graphed
function?
-
a.4
b.3
c.0
d.2
Yes, the relation is a function.
No, the relation is not a function.
(0, 4) and (0, -4)
23.
Forfx) - -5x -2,
evaluate",(5).
a. 23
b. -r5
c. -27
d. *32
n\
ID: A
24.
Identifo the parent function for g(x) : (x+3)3
and describe what transformation of the parent
function it represents.
a: The parent function is the cubic function,
b.
c.
.f(*) : *t .
g(x) : (x+3)3 represents a vertical
translation of the parent function 3 units
25.
Extra Credit:
Evaluate
up.
a.
b.
c.
d.
K\q' *3q) for l(x) =8x+7q.
+2lq
l6q2 +2lq
2q2
2q2 +
l6qz
l)q
+3lq
The parent function is the cubic function,
.f(x) = x' '
g(x) : (x+3)3 represents a horizontal
translation of the parent function 3 units to
the right.
The parent function is the cubic function,
.f(*) : *' .
g(x) = (x+3)3 represents a vertical
translation of the parent function 3 units
d.
down.
The parent function is the cubic function,
.f(x) = x3 '
g(x) = (x+3)3 represents a horizontal
translation of the parent function 3 units to
the left.
Short Answer
26.
Use a table to perform a vertical stretch of flx)
same coordinate plane as the original function.
=x by a factor of 3. Graph the transformed function on the
n\