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\ ..... AIcÿebra'i"-"FailÿOi-4 Semester Exam Review - Pat| 2
Find the range of the function if the
domain is {-3, -1, 0, 1, 3}
,
What is the equation for each type of
graph?
s q y- 5
f(x) = 4x- ÿ -Z ! ÿ(-'ÿ')-5
• Linear parent function \/ÿ
h
• Vertical Line ÿ '= gÿOfÿ'l
• Slope-Intercept form ÿ -ÿ'ÿYl"S'f'b
5 ÿ(s>- 5
2. Choose the story that best fits the
• Horizontal line \I= 0ÿ ÿ'" ÿ pÿh
graph.
• Negative linear parent function
,
anjeev raced to the grocery store
o get a V-8. He rested while he
Which equation represents the equation
of a line with a slope of-ms and a y4
intercept of 5?
drank it, then rode home at a
\l =tYÿ X-t b
relaxing pace.
B
C
A
Ivana worked as a stacker at
Kroger for $6.00 per hour. She
then got a promotion to produce
manager, making $10.00 per hour.
@
c
Erin runs for 10 minutes at an easy
pace, then sprints for 30 seconds
and then rests for 3 minutes. She
D
3
y=-x-5
4
R
Y=4X+5
-3
y=5x+-4
3
y= 5x-,€
completes this cycle a total of 4
times.
,
D Olsi skis down a steep hill, loses
control, and wipes out. After
getting up and getting his skis, he
more carefully makes his way to
The equation y = 3x + 3 is graphed
below. Graph the equation of the line if
the 3 is changed to a -1.
f
the bottom.
3. Find the slope' (2,5) and (5,6)
, xB
,
Which property of real numbers is
demonstrated by:
13.
The graph is a scatter plot of the
data in the table. Choose which
6(ÿÿ) = 12x- 18
answer best represents the line of
A Associative Property of Real
istributive Property of Real
NNumbers
umbers
C Transitive Property of Real
Numbers
best fit for the given data.
,l t.2 1.8 ; 2ÿ3
;....y to
7 ! 5
-1 i -4i -8i
-I
}_,/.. 2
D Commutative Property of Real
Numbers
°
-'CO= "X
.
A y=4 ÿ.©tfZOÿ!'{O
'!ÿ%::ÿ
B x =4
r ÿ
ÿ.ÿtXIÿ.'ÿq"{"
!ÿ ÿ Iÿ ,
,..ÿ..
Simplify'
D y
3a - (4a - 7)
4x+14
14. Solve for x.
- 7
O..,t',i' 'ÿ ÿ::iÿb J('
6-5x___ÿ+2
.... ,_kX_..2 .......
A
x_<l
x' "ÿ
10. Given f(x) = 3x2 - 1, evaluate f(-2)
B
c
x<3
ÿ_>ÿ
-(ÿ
.....
11. Simplify: 9-ÿx@TÿW ,. +7
-oÿ
ÿ,ÿ ÿ. -
'X "> y:
=
+ i0ÿ,+ ,ÿ
5. Solve the equation.
12. Write the equation of a line in pointslope form that has a slope of _4 and
3
asses through the point (3, 7).
'f-7.-
...........
.....
f
,,ÿ ÿt ' _.):ÿ, %
16. Write the equation of the following
20. y+3=7(x+4)
line in point-slope form.
Point :'ÿ.
....
.
Slope"
Xle 3ÿ 7 ÿ +29
Standard form"
7"ÿ --"/ = ÿ
pf,q (s,
s/opt:
1
21. y = -ix -- 10
2
Point-Slope Form" \[ "'P 10 =
t X " ÿ]
)
.xÿL -i-,j:.ÿ 10")
Standard form•
'ÿ ÿ 2 'V C ÿ" ÿ0
l
y-3 = --ÿ(x- 3)
3
y+5=ÿ (x - 3)
D
22. Solve the equation"
y+ 3 =-3(x- 5)
-ÿ(12x-36) =5x+3
4
Write an equation of a line in Standard Form.
o]'oe i ÿ,ÿ Feet4-
23. Twice the difference of x and 6 is equal
to 72 minus :tO times x. Find the
2-ÿ- ÿz =-7ÿ- lox
2x" e ÿ I
Solve each inequÿgraph "ÿ'ÿrÿ_ J ÿ
lven the following information about a
graph, provide the information requested in
24.
2 ÿ2ÿ
8 - 2n ___ 26
each blank.
,----ÿ-'ÿl I 1 I 1 I I I I I >
-10 -8 -6 -4 -2 0 2 4 6 8 10
19. (-1, 3); slope =-3
'-V5,-3ÿ 5
Slope-Intercept
form:
ÿ1ÿ "ÿ?X,
Standard ÿ.
form:
ÿV = 0
1= 3,.
25.
6x+3<2x+15
<1 i_ÿÿl I>
-5 -4-3 -2-1 0
1
2 3 4 5
26. Taylor's mom is planning her birthday
party at the Putt-Putt Palace. It is $250
to rent the facility and $7 per person that
attends. How much will this party cost
28.
movie. She expects anywhere from 2
to 5 people to accept her invitation.
Which inequality represents the
possible number of people going to the
movie with Natalie?
Taylor's morn for various numbers of
guests?
a.
Write a function rule that represents
this scenario.
Natalie invited some friends to go to a
A < I I € I I ÿ I >
<, , T T ÿ ÿ , ÿ
0123456
0123456
I.ÿÿ% :q ' i ÿ/'ÿ "
B
< I
0
b,
1
I € ;
2 3
; € I '
D
4 5 6
<' I J "'"'
0
1
2
3 4
Is this function discrete or
continuous?
"tl ÿ' "
29. Suppose you graphy= 2x-8. Which
function can you graph to change the
C.
Is this function proportional or non-
proportional?
slope to -4, but leave the y-intercept
unchanged?
4x-8
d. What is the maximum number of
people that can attend the party if
Taylor's mom has a budget of
B y= 4x- 10
C y=2x-4
D y = -4x + 15
27. A sign at a video rental store reaas:
"You must be at least 13 years old to rent
30. Find the range of the line segment
graphed below.
video games marked with a red dot."
Which inequality represents this
situation? (Let a = age in years)
A a>13
B a<13
kC) a _>13
D a<13
A {ÿ real numbeI, gtÿ-S ÿo ÿ}
t (dr real ÿmmbsÿts f[ÿom ÿ 8 tÿ# 4}
D {(sfl ÿ'e4mÿmberÿ hÿmÿl ÿo 8}
5
' "
6
31. Which of the following equations
describes a line parallel to the graph of:
35. Which of the following is the point-slope
form of th equation that has a slope
of-3 and contains the point (-2, 3)7
y = -x-8
3x + 4y = 2
A y-3= 3(x-2)
A-,
B 4x - 3y =2
(h :: ÿ&ÿ=ÿ-
y- 3 =-3(x+ 2)
4x + 3y = 2
--ÿ-y-P-3= -3(x + 2)
x - 4y = 2
yn
......
9.
D--y--P3 = 3(x- 2)
ÿ
32. Write the equation of a line in point-
slope form that goes through the
36. Which ordered pair is the y-intercept of
i
the line
y =-x- 37 ,,'ÿ
4
i 0
i,
point (-4, 2) and has a slope of 3
/
4
A (-3, 0)
;L = -3
-q:. q-,)
(ÿo, -3)
1
c (o,ÿ)
D (¼,0)
q ,x 4-.-b V
.... !q
37. If (-3, y) is a solution to the equation
-2x + 4y = 10, find the value of y.
0 8;ÿ .ÿ 6 + By
(.o4 -Tq =/0
J
38. Which relation Iÿÿion?
34. Write an equation for the relation
below,
yyÿ = 00
<M,-z), (2,-3), (3, -4), (0ÿ -s)}
l-ÿ-4--1 L ÿ-,4,- ,'ÿ &-< 11 \ F - ÿ2: v - 'q i
E-ÿ31.\/-ÿ'A
3 ÿ, 3
t
Jl
B/ £(1, 6), (1, 7), (2, 6), (2, 7)}
1), (4, 0), (4, 2), (4, 3)}
2), (0, 4), (ÿ, 6), (2, 3)}
39. A line contains the points (0, 5) and
42.
Whÿ@ mÿd paiÿ i8 ÿe y-ÿmÿpt ÿf ÿho
llnÿ ;,, =,!:ÿ_8 ?
(4, -7). Find the equation of the line in
,
4
A (-8,o)
•
l
( -)L--
o fl:,,!l
k ,ÿ)
40. Vvÿioh ÿ the folkÿmÿ e@uaÿoÿ8 dsaaribea
a. Hnÿe pÿzÿanel ÿ0 ÿha ÿaph of;
43. ÿnaÿtÿiÿ ÿhÿ pmÿ!mÿ ofÿe fi#ÿ below?
S
5,ÿ -4
L
A
-4ÿ + 6
:",),
s
a-,- 4y = g -ÿ
41.
'2
B tÿ4: + 2
Which of the following is the slopeintercept form of the equation that
has a slope of 4 and contains the
44. Find the value of x if the perimeter of the
\
point (-3, 7)? ÿ ÿ)ÿ. 'ÿ ( "iA "ÿ,/)
playland at McDonald's is 84 meters.
q'S ÿ i-,
A y=4x- 19
t 7ÿ +14: gÿ
\/= q',x +-Iÿ
B y=4x+ 10
C y= x+10
y = 4x + 19
2ÿ+ÿ
..............
8ÿ+ 5
;