1--
Sprine 'Break
2leview Packet
Due: :Jvlonday,
:Ayri{ 1st
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---- - - - - - - - - - - -
Read each problem. Circle the letter of the best answer.
UNIT 1
,
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Exponents and Radicals
Read eacll problem. Circle the letter of the best answer.
1 Which equation has a slope of ; and a
4 Which steps should be taken to solve the
equation -Sn - 3 = 8?
y-intercept of --}-?
C
D y
B
2
y =
-(-}-x +
= -(
~x
~)
- -}-)
A
first add, then divide
B
first divide, then add
c
first subtract, then multiply
D
first multiply, then subtract
What value of k makes the equation true?
2k
A
+
5
19 = 5
-12
B -7
c
7
D
12
Similar triangles LMN and PQN are shown
on this coordinate plane.
3 Which equation models this relationship?
Y TAXI CAB CHARGES
J-'.-'.-'+-+-~__,_,._sci
~ 16
-141-+-+--+--t-F-f--i-I--{
NI
"O
~ 12
Ri 10 !---+--+--+-/
6
~
2
x
Which statement must be true of the slope
of PN?
61-+-+--+--+---t--i--+-i
41--++-+--+---+--+-->-+-;
1 2 3 4 5 6 7 8
x
Miles Driven
y=-}-x
c
y
D
=
8
81--+-+--ht--f-+--l--l--'1
5
~ ~l-+t--+--+-~l--+-+--+-1
A
6
2x
y = 3x
A
It is half the slope of LN.
B
!t is half the slope of QN.
c
It is the same as the slope of LN.
D
It is the same as the slope of QN.
Read ea~h probl~~-· Wri·t~ ~o~r a,riswer.'
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What is the solution to this equation?
6(p
+ 0.4) =
5(p - 1.2)
Answer _ _ _ __
7
What value of y makes the equation
~ +
1 = -5 true?
Answer _ _ _ __
8 How many solutions are there to the equation below- 0, exactly 1,
or more than 1?
3(v - 5)
+
3 = 4(v - 3) - v
Answer _ _ _ _ _ _ _ _ __
9 Is 4 the solution to the equation -2n + 5
10 The equation y
20x models the
average number of pages Ewan
reads in x hours. This graph models
the average number of pages Phil
reads in x hours.
=
= -3? Explain how you know.
PHIL'S AVERAGE
READING RATE
y
100 --
"C
11'
~60--~
1-+-~-+--~-t---+~~-+---+---i
<LI
en 40 1--+---+-->--+--,__,_---+-__,__-+-l
11'
a.
20
0 ...__.___.____.__._2__.__._"""'---'
Hours
How do the average reading rates for Ewan and Phil compare?
~~IT3
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Linear Relationships
Read each problem. Write your answer to each part.
·
11 Karina graphed the line on this coordinate plane.
y,~
i
t~-:
;.--4
lJ
v
3
-2
~-6
-5 -4 I
>---}-~-
I
I
···-
11
VI
-- ~7
1
i
~
-
-,_,
·-
-T-
I
0
-i
Ii
~------- 6
I
I
I
!
j
45
1I) 3
i/
-;--
---,----· -2.
I -3
-4 /
l-·-·
.
6~x
I
~r---l-- - -
I
!
-t-
;.-
""
Part A What is they-intercept of this line?
Answer _ _ _ __
Part B Write an equation in the form y = mx + b that models this
line. Explain how you know your answer is correct.
12 Lucas wrote the equation 7m - 2(m + 3)
= m
+
6
+ 4m.
Part A What value of m makes this equation true?
Answer ____________________________
Part B Explain how you know.
Read each_ pro~lem. Circle the letter of the best answer.
3
1
Is (-1, 2) a solution to this system of
equations?
-x + 2y = 3
{ 2x - y = -4
x
A
(-1, -2)
C
(2, O)
B
(-2, -1)
D
(-2, O)
4
2
It costs $26 for 3 bags of small beads and
4 bags of large beads. It costs $20 for S bags
of small beads and 2 bags of large beads.
Which system of equations can be used to
find the cost of each size bag?
A{3x ++
{3x +
4x
B
4x
Sy = 20
C
Sx
2y = 26
+Sy= 26
2y = 20
{3x ++
{3x ++
D
Sx
4y = 20
2y = 26
4y = 26
2y = 20
A
Yes. It is a solution to both equations.
B
No. It is not a solution to the first
equation.
C
No. It is not a solution to the second
equation.
D
No. It is not a solution to either
equation.
How many solutions does this system of
linear equations have?
4x =Sy+ 2
{ 4x +Sy= 2
A
0
C
exactly 2
B
exactly 1
D
infinitely many
5 What is the solution to{; :
~;x-+ 37 ?
A
(0, -3)
C
(2, 3)
B
(1, O)
D
(3, 2)
It
uNIT 4 »»:-w.-»:-:«-:-:-:««·:-:-:v:v:-:-:-:-:--..-:-:-:-..-..--:-:-:-:-:-:-:-.."-:-m:-:·:-:-:-:-:ww....:..:0:«·>:-»:·>=-=-=·=-=-=·:
Systems of linear Equations
I
'
I -
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,
•
· -~ead eadi problem. Write MC?Ur answer.
6
.
_
How many solutions are there to this system of equations? Explain
how you know.
2x - y
{ 2x + y
=
=
5
3
7 What is the solution to this system of equations? Show your work.
x - Sy= 1
{ 2x - 7y = 8
Answer _ _ _ __
8 Graph and label this system of equations on the coordinate plane.
Then identify the solution.
y=x+4
{ x-y=3
'
l
c---+--+-~.--t-+l~+--+--+--i---+-+--1
I
I
'-·-'---'-··~--- __l--'61-~--~·-~·--·~-~~
,.
Answer
---------~
~q~:~!-
Read each problem. Circle the letter of the best answer.
4
1 Which rule describes this pattern?
What is the input when the output is 50?
I ; I : I ~ I ~ I~
I~:TI
0
2
4
20
26
32
I
A
add 3 to x to get y
A
8
c
12
B
add 8 to
x to get y
B
10
D
14
C
multiply x by 3 to get y
D
multiply x by 4 to get y
5
6
38
Which statement best describes the graph
of this function?
y
2
Which function is linear?
A
f(x) = 0.2x - 5
B
f(x) = ;
+3
C
f(x) = x 2
D
f(x)
+ 1
= x3
3 It costs $4 to park a car in a lot and
$0.50 per hour to keep it there. Which
function represents the total cost to have a
car parked in this lot for h hours?
+ 4h
A
f(h) = 0.5
B
f(h) = O.Sh
c
f(h) = 0.5(h
+
4)
D
f(h)
+
4)
=
h(0.5
+
4
x
A
It increases everywhere.
B
It decreases everywhere.
C
It increases for positive values of
D
It decreases for negative values of x only
x only
6 What equation describes this function?
I; I: I~
+3
A
y
= x
B
y
=x +
6
I: I~ I!
C
y = 3x + 10
D
y
= -2x
I
+4
UNIT5 ~»:~««-:-:«««W.-"l'&.»:-»:«-~»:-:-xa»»:-Xo
Fundions
Rea~('~~c~ problem.- Write your answer. ,
,
.
,
,.
·, -
, ·
'
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7
The amount a consultant earns for
traveling and each hour of work she
performs is shown in this graph.
y ,~CONSULTANT EARNINGS
--
500
~
400
_,,,,
I
C'I
What does they-intercept represent?
c:
c:
300
ro
I./
100
0
8
/
200
JS
{2.
~/
y
....
w
/
I
VI
I
l
.......-1
I
/
,___ ,,.,
..,
i
--·
I
I I
I
1
2
3
4
Hours Consulting
The equation C = O.Sm + 15 models the total cost, C, in dollars, to
rent a car and drive it m miles. Complete this table to find the total
cost to rent the car for each number of miles driven.
9 For which values of x is this
graphed function increasing?
10 The function f(x) = 2x + 10 shows the relationship
between the total cost in dollars to rent a bike, f(x),
and the number of hours, x, the bike is rented.
!
I T
-- --~1-~ --~ --r---~
--
Graph this function on the coordinate plane at
the right. Be sure to label each axis and give
the graph a title.
I
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UNIT 5
Functions
I '
Sx
Read each problem. Write your answer to each part.
11 Look at this function table.
x
y
1
2
2
7
3
12
4
17
Part A Write an equation that models this function.
Part B What is the value of x when y = 37? Explain how you know.
12 The cost of each call Bethany makes to her cousin from her cell
phone is linear. A 10-minute call costs her $1.40. A 24-minute
call costs her $2.80.
Part A What is the slope of the line that represents this situation?
Answer _ _ _ __
Part B What does the slope represent?
Answer _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __
UNIT 5
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Functions