Class:
Date:
ID: A
Algebra 2 Summer Packet - I Test Grade
Multiple Choice
Identifi the choicethat bestcompletesthe statementor answersthe question.
L
Selectthe algebraic expressionthat representsthe verbal expressiontwice the sum of a number and 8.
a. 2n+8
b. n+16
2. Evaluate2b (4 a - c2)if a:5, b:*,
a. -303
3 . E v a l u a-t le3 c - d l i f
c.
-O c:
a . 8
d.
-6
d-ry
2n+28
ll.
b. 423
c:-l
2(n+$\
c.
a n dd : 5 .
c. -7
b . 2
d. -8
4. The formulafor the surfaceareaof a sphereis I = 4ft 12,wherer is the lengthof the radius.Find the surface
areaof a spherewith a radiusof 14feet. Ur" 4
I
a. 7248ft2
b.
7744ft2
for r.
c.
2464ft2
d.
704tr
5. Namethe setsof numbersto which- j U"tongr.
a. naturals,rationals
c.
integers,rationals
b. rational,reals
d.
integers,rationals,reals
l
l
6. Simpliff l5r - 9) +
+ S).
3(
,{Zsx
a. lo.r- 2
b. 5x-z
(A
c.fr-''
7. Namethe propertyillustratedby 5 (x + y): 5 @ + x) .
a- CommutativePropertyof Multiplication
b. DistributiveProperty
c.
Commutative
Propertyof Addition
d. AssociativePropertyof Addition
3''
I
d. rt+ox-+)
ID: A
Solveeachequation.
8. 23:5 -|m
J
a. 42
-12
b.
c. -27
d. 42
c.
d. {4}
9. 18:3lax- l0l
a. {1,-l}
b. {1,4}
{4,-4}
10. 5(2x-6):7x-3
a
.
-
9
b
.
9
c
.
1
c.
{ll}
1
d
.
O
ll. lr-31+10:2
a. {-s}
b. {-s, ll}
d.
'A
12. Jamieis 4 yearsyoungerthanher brother.Five yearsfrom now, the sumof their ageswill be 32. Find
Jamie's'present
age.
a
.
9
b
.
1
0
1
3
d
.
1
4
13. Onesideof a triangleis four centimeterslongerthanthe shortestside.The third sidesf the triangleis twice
as long asthe shortestside.Find the lengthof the longestsideof the triangleif its perimeteris 40
centimeters.
a. 9cm
b.
l3cm
c.
24cm
b.
x<98.5
c. x<13
d.
lScm
Solveeachinequality.
14. 0.38>
)r -7
,
a. x<4.45
15. 9 <7 -x<-l
a. -2<x<8
c.
b. A
d. x3-2
x3-2orx)8
16. 5x-4>26or29-3x>2
a- 6+x<9
c. x<6orx>9
b. all realnumbers
d. x-9
d. x<3.69
ID: A
Name:
1 7 .l 2 x - 3 1 + 7
c. -2<x<5
a. x<5
b. -5 < x < 5
d. all realnumbers
18.21m+7ltg
a.
-l I < m <1
c.
all real numbers
b.
m <-13 or m> -l
d.
m <-ll
or m> -3
19. Identiff the graph of the solution set of -2.3 < 4 + 0.9 !.
a.
c.
.t-i_t+t-+-Ftf
- 7 - 6 - 6 - , 1 - E - 0e 1- 1
b.
ffi
S1EC45678
d.
f f i
| t | t | | t r
0 1 ? 3 4 5 8 7 8
- { - A - ? - t 0 t Z S 4
20. One number is four times a secondnumber. If you take one-half of the secondnumber and increase it by the
first number, the result is at least 45. Find the least possible value for the secondnumber.
a
.
1
0
b
.
9
c
.
1
1
d
.
1
2
21. Find the rangeof the relation {(-1, 4), (2,5),(3, 5)}. Then determinewhetherthe relation is a function.
a.
{-1,2,3}; function
c.
{4,5}; function
b.
{-1,2,3}; not a function
d.
{4, 5}; not a function
22. Find/(-l)iff (x):.,
a. -5
.8"
b. -J
7
i
" . ,
d . 7
23. Find/(a) if f (t) : 2t2- t -2.
a.2(t+a)2-Zt+a-2
c.2a2-a-2
b.2(t+a)2-2(t+q1-2
d.4a2-2a-2
24. Which equationis linear?
a. x:1
b. y:3x2+l
c. y<5x-2
25. Write-3y: -l + 5r in standard
form.
a. -5x-3y:1
c. l:-lx-t
b'
d' 3x+'5Y-l:0
5x*3Y:l
d. y2:_l2x+3
ID: A
Name:
26. Findthex-interceptof the graphof 4x -2y:8.
a
.
4
b
.
-
2
c
.
0
d
.
2
27. Findthe slopeof a line thatpasses
through(2,4) and(-7, 8).
4
a. -g
4
D. -5
c.
5
9
o. -4
4
28. Whatis the slopeof the linex: -2?
a. -2
c . It
b . 0
d.
29. Whatis the slopeof a line that is parallelto the graphof 2x -3y:
a.
3
t
2
b. -3
c.
undefined
62
2
3
o. -,
3
30. The graphof the line through(2,3) that is perpendicular
to the line with equation.r : -1 alsogoesthrough
which point?
a. (0,-l)
b. (-2,3)
c. (2,4)
d. (1,4)
3 1. Write an equationin slope-interceptform for the line that hasa slopeof 3 andpassesthrough(-l, 2).
a. !:3x-l
c. !:5x+3
b. !:3x-5
d. Y:3x45
32. Write an equationin slope-interceptform forthe line that passesthroughCl,-2) and(3, -7).
5
a. y:4*-4
3
, y : - 5 * -45
D.
6
4
5
c. y:5*-5
1
o. y:-Tr-
6
3
4
33. Write an equationin slope-interceptform for the line that passesthrough(0, -2) and is parallelto the line
whoseequationis 3x + 5y:
3
a . "v : - = x - z
^
)
3
c . v : = )x * 2
-
b. t:3x-2
d. /:1x+2
34. The tablebelowshowsthe relationshipbetweenthe numberof hourspracticedandthe numberof freethrows
madefor 5 players.Usea scatterplot to draw a line of fit andthendescribethe correlation.
HtnrPndnrd
1
q
4
Fllr firo*
6
4
6
Xrdr
1?
18
1S
a.
positive
c.
no c<irrelation
b.
negative
d.
randomcorrelation
4
ID: A
Name:
35. Which equation could be a prediction equation for the data points shown in the scatter plot at below?
E
E T
1!0
10$
96
84
9E a
k f , 6$
* g 1$
38
b
24
.
1t
flto {00 6m 000 100
Dlrtana tun {tnetrr}
tnl*rc
IAelftrd*tffir
a.
!:lOx-6
c.
Y:x+6
b.
t : - f i x +s
d.
t:$'-a
36. Identifuthe type of functionrepresented
by the equationy : - 3.
a. constant
c.
absolutevalue
b.
d.
quadratic
identity
37. Identiffthedomainof y:3 lx + 21.
c. {vly>o}
d . { vl v > 2 )
a. all real numbers
b. {xlx>2}
38. Which is not part of the definition of the piecewise function shown?
a. 2ifx<-1
c. -x+1if-l<x<
b. x+ 1if-l <x< I
d.
2xifx2l
39. The graphof the linearinequalityy ? 3x - | is theregion
a.
above
b. below
c.
?
thegraphof y:3,
on or above
d. on or below
40. Which inequality describesthe situation when Bob hasat least3 pets?
a- p>3
b. p>3
c. 3>p
- t.
d. p<3
ID: A
Name:
y : 2x - 3 andy: 4x- 3 has
41. The systemof equations
a.
exactly one solution.
c.
infinitely manysolutions.
b.
no solution.
d. exactlvtwo solutions.
42. Choosethe correct description of the system of equations.
x +2y:7
3x*2Y:5
a. consistentandindependent
c.
consistentand dependent
b. inconsistent
d.
inconsistentand dependent
To solve each system of equations, which expression could be substituted for x into the first
equation?
43. 3 x- 5 y : 1 4
x+4y-10
a.
l0-4y
- 4I * ,- t5
I , 5
,
D.
4*-,
c. 4y+ 10
d.
b. 2y+ 15
c.
d. 2y- 15
44. 2x + 7y: l0
x-2Y:15
a.
|
.t)
tx+
|,*s
45. The first equationof the systemis multipliedby 2. By what numberwould you multiply the secondequation
to eliminatethe.r variableby adding?
6 x- 5 Y : 2 1
4x + 7y: 15.
a . 3
b. -3
c . 2
d. -2
46. The first equationof the systemis multipliedby 4. By whatnumberwould you multiply the secondequation
to eliminatethey variableby adding?
2 x+ 5 Y : 1 6
8x- 4Y: 1g
a . 5
b . - 5
c . 2
d. -2
Name:
ID: A
Solve each system ofequations.
47. 4 x - 3 y : 1 4
Y:-3x*4
a. (1,1)
b. (-4, -10)
c. (5,2)
d. (2,-2)
b. (0,-83)
c. (2,0)
d. rt,.>
48. 4 x- 3 Y : g
2x+ 5Y:-9
a. (-2,1)
49. Which systemof equationsis graphed?
a.2x*!:2
1x -Y: 4
2 x* ! : 2
3 x- y : 4
b. Zx*!:4
3x-Y:4
d.
2xI!:1
1x-Y=
4
5 0 . Which systemof inequalitiesis graphed?
a.2x+y>5
3x+2y<9
b. 2x+y>-5
3 x- 2 y 2 9
c. 2x-y<5
3x+2y<9
d. -2x+y> 5
3 x- 2 y 3 9
51. Find the coordinates of the vertices of the figure formed by the systemx > 0, ! > -2, and2x + y < 4.
a. (3,-2), (0,4),(0,-2)
c.
b. (1,0),(4,0),(-2,3)
d. (-2,3), (0, 4), (0,-2)
(0,0),(0,4),(2,0)
Usethe systemof inequalitiesy) l,! -x < 6, and x+ 2y <6.
52. Find the coordinatesof the verticesof the feasibleresion.
a. (-6, 0), (-2,4), (6,0)
c.
b. (0, 1),(0,3),(4, l)
d. (-5, 1),(-2,4),(0,3),(0, l)
(-5, l), (2,4), (4,l)
ID: A
Name:
53. Find the maximumvalueof/(x , l) : 2x + y for the feasibleregion.
a. 0
d. 8
c. 9
b. l1
54. Find the minimumvalueof/(x , y) : 2x + y for the feasibleregion.
a
.
-
1
0
b
.
0
c
.
-
9
d
.
4
55. Whatis the valueof z in the solutionof the systemof equations?
2x*3Y-7:12
4x-Y*z:3
- 2 x + 2 v ] -z : 3
a
a.
-l
2
c . 3
d . 0
Tickets to a golf tournament are sold in advance for $40 each, and on the day of the event for $50 each.
For the tournament to occur. at least 2000 of the 8000 tickets must be sold in advance.
56. Let a representthe number of advancetickets sold and d representthe number sold on the day of the
tournament. Which system of inequalities representsthe number of tickets sold?
a.
a22000, d> 0, a + d< 8000
c.
a> 0, d) 0, a * d< 8000
b.
a20.d>0.a+d<2000
d.
a<40.d<50"a+d<2000
57. How many advancetickets should be sold to maximize revenue?
a.
6000
b.
2000
c.
4000
d.
8000
A local gas station sells low-grade ((,), mid-grade (m\,and premium (p) gasoline.Mid-grade gasoline
costs $0.10 per gallon more than low-grade, and premium gasoline costs $0.10 per gallon more than
mid-grade gasoline.Five gallons of low-grade gas cost $18.
58. Which systemof equations representsthe cost of each type of gasoline?
a.
5 ( ,+ m : 1 8 ,m : ( , + 0 . 1 0 p, : 7 n* 0 . 1 0
b.
5 l : 1 8 ,m : ( - 0 . 1 0p, : m - 0 . 1 0
c.
5l: 18,m: l.+ 0.10,p:mr 0.l0
d.
0 . 1 0 (+, 0 . l 0 m a 5 p : 1 8 , 0 . 1 0 1+ m : 0 , 0 . 1 0 m + p : 0
59. What is the cost of one gallon of premium gasoline?
a.
$3.60
b.
$3.70
c.
$3.80
d.
$3.90
ID: A
Name:
60. Choosethecorrectdescription
ofthe systemofequations.
2 x+ J y : 1 9
4x+ 6Y:24
a. consistent
andindependent
c" consistent
anddependent
b.
d.
inconsistent
inconsistent
anddependent
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