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Algebra, NAP-L3-CA23

Each shape in this number sentence stands for a different number.

This number sentence is true:

Select the two number sentences below that must also be true.

 
 
 
 
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Show Worked Solution

`text(Consider the number sentence:)`

`8 xx 6 = 48`

`=> 6 xx 8 = 48`

`=> 48 ÷ 8 = 6`
 

`:.\ text(Correct number sentences are: )`

Filed Under: Basic Algebra and Rules, Basic Algebra and Rules Tagged With: Band 7, smc-3150-10-Arithmetic, smc-904-10-Arithmetic

Algebra, NAP-D3-CA16

 
   and       represent different numbers.

What is   
 
   equal to?
`10` `15` `20` `25`
 
 
 
 
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`15`

Show Worked Solution

`text(Adding both equations)`

`2 xx`
 
`= 30`
`:.`   
 
`= 15`

Filed Under: Basic Algebra and Rules, Basic Algebra and Rules Tagged With: Band 7, smc-3150-10-Arithmetic, smc-904-10-Arithmetic

Algebra, NAP-B3-CA02

 

Which number does equal?
`3`   `4`  `5`  `9`
 
 
 
 
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`5`

Show Worked Solution

`text(Substituting in the given values:)`

  `+4` `=3+3+3`
`:.\ `    `=9-4`
    `=5`

Filed Under: Basic Algebra and Rules, Basic Algebra and Rules Tagged With: Band 5, smc-3150-10-Arithmetic, smc-904-10-Arithmetic

Algebra, NAP-B3-NC16

The balance beam shows that 3 pears have the same weight as one orange.
 

 
How many pears balance 2 oranges and 1 pear?

`4` `5` `7` `8`
 
 
 
 
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`7`

Show Worked Solution

`text(Given that the mass of  1 orange = 3 pears,)`

`=>\ text(2 oranges and 1 pear have the mass of 7 pears.)`

Filed Under: Basic Algebra and Rules, Basic Algebra and Rules Tagged With: Band 8, smc-3150-10-Arithmetic, smc-904-10-Arithmetic

Algebra, NAP-F3-CA07

The rule below results in the following table.

What is the missing number in the table?

`107` `207` `214` `249`
 
 
 
 
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`207`

Show Worked Solution
`2 xx 100+7` `=200+7`
  `=207`

Filed Under: Basic Algebra and Rules, Basic Algebra and Rules Tagged With: Band 6, smc-3150-10-Arithmetic, smc-904-10-Arithmetic

Algebra, NAP-F3-NC30 SA

In this number sentence, both circles represent the same number.

What number does  represent?

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`23`

Show Worked Solution
`text(Let)`      `= x`
`40 – x` `= x – 6`
`2x` `= 46`
`:. x` `= 23`

Filed Under: Basic Algebra and Rules, Basic Algebra and Rules Tagged With: Band 9, smc-3150-10-Arithmetic, smc-904-10-Arithmetic

Algebra, NAP-H3-NC15

nap-169-nc08

What is the value of nap-169-nc082 ?
`0` `1` `2` `4` `6`
 
 
 
 
 
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`6`

Show Worked Solution

nap-169-nc08-answer

Filed Under: Basic Algebra and Rules, Basic Algebra and Rules Tagged With: Band 7, smc-3150-10-Arithmetic, smc-904-10-Arithmetic

Algebra, NAP-H3-NC03

`3 xx` 
 
 `= 51`

What number makes the above number sentence correct?

`17` `27` `48` `153`
 
 
 
 
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`17`

Show Worked Solution
`3 xx n` `= 51`
`n` `= 51/3`
  `= 17`

Filed Under: Basic Algebra and Rules, Basic Algebra and Rules Tagged With: Band 5, smc-3150-10-Arithmetic, smc-904-10-Arithmetic

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