Algebra, NAPX-E4-NC11

Question

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Worked Solution

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Variant 0

DifficultyLevel

566

Question

Coral bought 8 bags of mandarins from the market.

Each bag had the same number of mandarins and a total of 56 mandarins were purchased.

Which equation shows the average number of mandarins, m\large m, in each bag?

Worked Solution
Mandarins per bag = total mandarinsnumber of bags\dfrac{ \text{total mandarins}}{\text{number of bags}}
m\large m =568= \dfrac{56}{8}
m\large m × 8\times\ 8 = 56

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Coral bought 8 bags of mandarins from the market. Each bag had the same number of mandarins and a total of 56 mandarins were purchased. Which equation shows the average number of mandarins, $\large m$, in each bag?
workedSolution
| | | | ------------: | ---------- | | Mandarins per bag | \= $\dfrac{ \text{total mandarins}}{\text{number of bags}}$ | ||| | $\large m$ | $= \dfrac{56}{8}$ | | $\large m$ $\times\ 8$| \= 56|
correctAnswer
$\large m$ $\times\ 8= 56$

Answers

Is Correct?Answer
x

m\large m = 56 −- 8

x

m\large m =56×8=56 \times 8

✓

m\large m × 8=56\times\ 8= 56

x

m\large m ÷ 8=56\div\ 8 = 56

Variant 1

DifficultyLevel

568

Question

Jessie bought 7 boxes of chocolates from the shop.

Each box had the same number of chocolates and a total of 84 chocolates were purchased.

Which equation shows the average number of chocolates, c\large c, in each box?

Worked Solution
Chocolates per box = total chocolates number of boxes\dfrac{ \text{total chocolates }}{\text{number of boxes}}
c\large c =847= \dfrac{84}{7}
c\large c × 7\times\ 7 = 84

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jessie bought 7 boxes of chocolates from the shop. Each box had the same number of chocolates and a total of 84 chocolates were purchased. Which equation shows the average number of chocolates, $\large c$, in each box?
workedSolution
| | | | ------------: | ---------- | | Chocolates per box | \= $\dfrac{ \text{total chocolates }}{\text{number of boxes}}$ | ||| | $\large c$ | $= \dfrac{84}{7}$ | | $\large c$ $\times\ 7$| \= 84|
correctAnswer
$\large c$ $\times\ 7$ \= 84

Answers

Is Correct?Answer
✓

c\large c × 7\times\ 7 = 84

x

c\large c ÷ 7=84\div\ 7 = 84

x

c\large c =84×7=84 \times 7

x

c\large c = 84 −- 7

Variant 2

DifficultyLevel

570

Question

Vernon bought 6 pallets of pavers from PaverCity.

Each pallet had the same number of pavers and a total of 126 pavers were purchased.

Which equation shows the average number of pavers, p\large p, on each pallet?

Worked Solution
pavers per pallet = total paversnumber of pallets\dfrac{ \text{total pavers}}{\text{number of pallets}}
p\large p =1266= \dfrac{126}{6}
p\large p × 6\times\ 6 = 126

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Vernon bought 6 pallets of pavers from PaverCity. Each pallet had the same number of pavers and a total of 126 pavers were purchased. Which equation shows the average number of pavers, $\large p$, on each pallet?
workedSolution
| | | | ------------: | ---------- | | pavers per pallet | \= $\dfrac{ \text{total pavers}}{\text{number of pallets}}$ | ||| | $\large p$ | $= \dfrac{126}{6}$ | | $\large p$ $\times\ 6$| \= 126|
correctAnswer
$\large p$ $\times\ 6$ \= 126

Answers

Is Correct?Answer
x

p\large p ÷ 6=126\div\ 6 = 126

✓

p\large p × 6\times\ 6 = 126

x

p\large p + 6 = 126126

x

p\large p −- 6 = 126126

Variant 3

DifficultyLevel

572

Question

Hope bought 9 boxes of pens from Office Supplies.

Each box had the same number of pens and a total of 189 pens were purchased.

Which equation shows the average number of pens, p\large p, in each box?

Worked Solution
pens per box = total pensnumber of boxes\dfrac{ \text{total pens}}{\text{number of boxes}}
p\large p =1899= \dfrac{189}{9}
p\large p × 9\times\ 9 = 189

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Hope bought 9 boxes of pens from Office Supplies. Each box had the same number of pens and a total of 189 pens were purchased. Which equation shows the average number of pens, $\large p$, in each box?
workedSolution
| | | | ------------: | ---------- | | pens per box | \= $\dfrac{ \text{total pens}}{\text{number of boxes}}$ | ||| | $\large p$ | $= \dfrac{189}{9}$ | | $\large p$ $\times\ 9$| \= 189|
correctAnswer
$\large p$ $\times\ 9$ \= 189

Answers

Is Correct?Answer
x

p\large p + 9 = 189189

x

p\large p −- 8 = 189189

x

p\large p ÷ 9=189\div\ 9 = 189

✓

p\large p × 9\times\ 9 = 189

Variant 4

DifficultyLevel

574

Question

Mel bought 24 packets of lollies from the supermarket.

Each packet had the same number of lollies and a total of 360 lollies were purchased.

Which equation shows the average number of lollies, l\large l, in each packet?

Worked Solution
lollies per packet = total lolliesnumber of packets\dfrac{ \text{total lollies}}{\text{number of packets}}
l\large l =36024= \dfrac{360}{24}
l\large l × 24\times\ 24 = 360

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Mel bought 24 packets of lollies from the supermarket. Each packet had the same number of lollies and a total of 360 lollies were purchased. Which equation shows the average number of lollies, $\large l$, in each packet?
workedSolution
| | | | ------------: | ---------- | | lollies per packet | \= $\dfrac{ \text{total lollies}}{\text{number of packets}}$ | ||| | $\large l$ | $= \dfrac{360}{24}$ | | $\large l$ $\times\ 24$| \= 360|
correctAnswer
$\large l$ $\times\ 24$ \= 360

Answers

Is Correct?Answer
✓

l\large l × 24\times\ 24 = 360

x

l\large l ÷ 24=360\div\ 24 = 360

x

l\large l + 24 = 360360

x

l\large l −- 24 = 360360

Variant 5

DifficultyLevel

576

Question

Skylar bought 500 boxes of nails from the hardware store.

Each box had the same number of nails and a total of 7000 nails were purchased.

Which equation shows the average number of nails, n\large n, in each box?

Worked Solution
nails per box = total nailsnumber of boxes\dfrac{ \text{total nails}}{\text{number of boxes}}
n\large n =7000500= \dfrac{7000}{500}
n\large n × 500\times\ 500 = 7000

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Skylar bought 500 boxes of nails from the hardware store. Each box had the same number of nails and a total of 7000 nails were purchased. Which equation shows the average number of nails, $\large n$, in each box?
workedSolution
| | | | ------------: | ---------- | | nails per box | \= $\dfrac{ \text{total nails}}{\text{number of boxes}}$ | ||| | $\large n$ | $= \dfrac{7000}{500}$ | | $\large n$ $\times\ 500$| \= 7000|
correctAnswer
$\large n$ $\times\ 500$ \= 7000

Answers

Is Correct?Answer
x

n\large n + 500 = 70007000

x

n\large n −- 500 = 70007000

✓

n\large n × 500\times\ 500 = 7000

x

n\large n ÷ 500=7000\div\ 500 = 7000

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