Name:
Period:
Test 3-2 Math 6 PreAP Test Topics:
VERSION 2
1) Apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios
and rates (Lesson 4-2 and 4-6)
2) Represent ratio and percents with concrete models, fractions, and decimals. (Lessons 5-1 and 5-2)
3) Represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10
by 10 grids, strip diagrams, number lines, and numbers. (Your INB Pages 106-117, Lessons 5-5 and 5-6)
4) Generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that
involve money. (Lessons 1-4, 5-1 and 5-2)
5) Convert units within a measurement system, including the use of proportions and unit rates. (Lesson 4-7)
6) Solve real-world problems to find the whole given a part and the percent, to find the part given the whole and the
percent, and to find the percent given the part and the whole, including the use of concrete and pictorial models. (Lessons
5-5 and 5-6)
7) Use equivalent fractions, decimals, and percents to show equal parts of the same whole. (Lessons 1-4, 2-4, 5-1 and
5-2)
8) Represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric,
graphical, and algebraic representations, including d=rt (Your INB Pages 98-99)
9) Convert between measurement systems, including the use of proportions and the use of unit rates. (Your INB Pages
94-97)
10) Generate equivalent expressions using order of operations, including whole number exponents and prime
factorization. (Lessons 7-1,7-2, 7-3)
11) Identify independent and dependent quantities from tables and graphs. (Lessons 6-1, 6-2, 6-3)
12) Write an equation that represents the relationship between independent and dependent quantities from a table.
(Lesson 6-3)
13) Represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b
(Chapter 6)
14) Compare two rules verbally, numerically, graphically, and symbolically in the form of y = ax or y = x + a in order to
differentiate between additive and multiplicative relationships. (Lessons 6-5 and 6-6)
15) Determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations.
(Page 499)
16) Represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and
proportions. (Lesson 4-4 and Lesson 4-6)
Directions: Show your work to solve the following problems, You must show your work to earn full credit
on all problems.
°
Regina answered 78% of the questions on
her social studies quiz correctly. What
fra_ctional part of the question did Regina
lÿrc") ' ÿnswer cOrrecuy?
,
ÿ,,ÿ 'ÿ
2. Which percent does this shaded grid
,
represent?
......
ÿ
If 3 bushels of apples weigh 105 pounds,
how much would 1 bushel of apples
weigh?
D
315
A,
B.
A.
@
34%
35
Bÿ 44%
C.
56%
3. The below below shows the relationship
between the amount of time a bricklayer
works and the height of the wall he builds.
Which equation can be used to determine
the number of hours it takes the
bricklayer to reach a height of y inches?
,
Ben found a street vendor selling flowers.
For $4, a customer can get 15 carnations.
If Ben spent $12, which equation can be
used to determine c, the number of
carnations he bought?
Time..WoEkedÿ(h£#.rs)i;
::}Wall Hÿi"g ht ( i n c h es)
2 £g
12
3
ÿ<,(,
18
s L
3O
x ÿ.ÿ(
y
A.
B.
12 15
c
4
15
c
4 12
A.
x= 6y
B.,,---7-=ÿ_ÿ, + 6
( ix
/
t2
:/
,
Leta wants to go on a band trip to
8. The graph below shows the relationship
Chicago. It costs $1,200 per student.
between x and y.
The band will pay 25% of the cost for
each student.
Y
B°
+* 4 ........ ;It,!,. ,} q ............. ;---.; -" ÿ, .'. ; -I--ÿ
+
++
+
• +
"ÿ ' $2o0+ ÿ+oo ÿoa +800 +,ooo ÿ12ÿo
Using the numberlines, determinethe amount of
money Lÿtaÿ]+llÿJorthe Chicago trip.
$300
B. $400
Cÿ.- '$900
Which set of numbers represents all the
dependent quantities shown in the graph?
A.
,
Gabby is working to earn $200. She
earns $25 mowing her grandmother's
lawn and $60 for a day of housecleaning.
Which decimal represents the part of the
money Gabby still needs to earn?
,, +ilo.sTs
B.
ÿ .5+..
o.11+
C.
?-o 0
"ÿ"0 0
../:#+o. ¢
{-3, 2, 1, 4}
/,
{-3, 2, 5, 8}
C.
{-7, -2, 1, 4}
k
1
12. The pictorial model shows the number of
triangles and circles that Amy and Steve
9. The Gap has a sale on shirts. The table
shows the regular price, r, and the
amount of discount, d.
drew. How many total triangles and
circles did Amy and Steve draw?
Shirts
Regular Price (r)
Amount of Discount
$12
$15
$22
$30
$3.60
$4.5o
$6.60
$9.oo
(d)
/.TJ
4 i'i'iangles ÿL_
2 circles ÿ_
2 circles ]
r
Which equation best represents the relationship r
and d?
Of-.
t'A)
.
,ÿ..ÿ/
8
B.
4
d = --r
10
lo
C.
A.
"ÿ
7
13. Trace's teacher jogs on the weekend.
Last weekend his teacher jogged 1 mile on
d-- 3r
Saturday and 2.5 miles on Sunday. How
many yards did his teacher jog last
weekend?
r D-o
/ t <,,,?< :'10. Felix pays $4.20 per carton for fresh eggs
from the farmers' market. If x represents
A.
the number of egg cartons and y is the
total cost of $33.60, which of the following
Record your answer and fill in the bubbles
equations is correct?
on your answer document. Be sure to use
the correct place value.
4.20 + x = 33.60
((ÿ 4.20x = 33.60
C.
" '] .......
© .
33.60x = 4.20
¢ % :ÿ,o
11. Max needs to create equivalent
expressions that simplify to 12. Which of
Max's expressions is NOT equivalent to
12?
'ÿÿI' '" !,.i ÿ-ÿ ;-ÿ,' ÿ<;/
A"
62 + 4 + 3 x 1 -J/ÿ
(92-9) + 8 +4- 2
,ÿ
L.J
®1@ ® ® ® 0®
®t® ® d) ® @®
®®®® ®®
®®® ® ®®
®®® ® ®®
®@®® ®®
®@ ® ® ®®
®@ ® ® @®
®¢ ® ® !®®
@_
14. At a refinery in Canada, I saw a barrel of
gasoline. Each barrel of gasoline will hold
96 liters. Which of the following is the
closest number of gallons of gasoline the
barrel will hold?
1 gal = 3.79 L
A. 384 gallons
B. 17 gallons
(ÿ 24 gallons
3L-,Z
15. Write the missing value for the following percents and fractions above or below its equivalent.
100% -:!'(/' -50% -25% 0
-1
4
ÿ
ÿ
3t-Tÿ
so
,ÿ
25% ÿ0/, 75% 100% Iÿ£-*/ 150% 175%
1
1
40 lo ....
ÿ -.)Lt
200%
2
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