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Algebra, NAP-A4-NC23 SA

What is the value of `b` in this equation?

`b =`
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`9`

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`6b – 19` `= 3b + 8`
`3b` `= 27`
`b` `= 9`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 8, smc-3179-10-Arithmetic, smc-683-10-Arithmetic

Algebra, NAP-B4-NC13

Which expression is equivalent to  `5-6t`?

`6-5t` `6t-5` `-5 + 6t` `-6t + 5`
 
 
 
 
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`-6t+5`

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`-6t+5`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 7, smc-3179-10-Arithmetic, smc-683-10-Arithmetic

Algebra, NAP-D4-CA03

What number makes this number sentence correct?

`1.3 xx`
 
`= 5.46`
`4.2` `4.22` `6.76` `7.098`
 
 
 
 
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`4.2`

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`1.3 xx`
 
`= 5.46`
 
 
`= 5.46/1.3`
    `= 4.2`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 5, smc-3179-10-Arithmetic, smc-683-10-Arithmetic

Algebra, NAP-C4-CA04

The expression  `3x + 7 + 8x + 11`  can also be written as 

`10x + 19` `11x + 18` `18x + 11` `29x`
 
 
 
 
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 `11x + 18`

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`3x + 7 + 8x + 11 = 11x + 18`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 5, smc-3179-10-Arithmetic, smc-683-10-Arithmetic

Algebra, NAP-G4-NC27

Which value of  `A`  is closest to the missing number in this equation?

`(A + 89.29) ÷ 5.12 = 48.4`

`− 80` `80` `130` `160` `250`
 
 
 
 
 
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`160`

Show Worked Solution
`(A + 89.29) ÷ 5.12` `= 48.4`
`(A + 89.29)` `= 48.4 xx 5.12`
  `~~50 xx 5\ \ \ text{(using approximation)}`
  `~~ 250`

 

`:. A` `~~ 250 – 89.29`
  `~~250 – 90`
  `~~ 160`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 9, smc-3179-10-Arithmetic, smc-683-10-Arithmetic

Algebra, NAP-G4-NC24

Harriet solved the following equation:

`7x - 2 = 4`

Which of the following could be two lines of her solution?

`7x` `= 2` `7x` `= 2` `7x` `= 6` `7x` `= 6`
`x` `= 2/7` `x` `= 7/2` `x` `= 6/7` `x` `= 7/6`
 
 
 
 
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`x = 6/7`

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`7x` `= 6`
`x` `= 6/7`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 9, smc-3179-10-Arithmetic, smc-683-10-Arithmetic

Algebra, NAP-F4-CA03

`2.5 xx A = 0.5`

Find the value of `A` that makes this number sentence correct.

`1.25` `-2.0` `0.2` `5.0`
 
 
 
 
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`0.2`

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`2.5 xx A` `= 0.5`
 `:. A` `= 0.5/2.5`
  `= 0.2`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 6, smc-3179-10-Arithmetic, smc-683-10-Arithmetic

Algebra, NAP-H4-NC26

`x/3 = 5/13`

What is the value of `x`?

`5/39` `15/39` `8/13` `15/13`
 
 
 
 
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`15/13`

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`x=(3 xx 5)/13 = 15/13`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 10, smc-3179-10-Arithmetic, smc-683-10-Arithmetic

Algebra, NAP-H4-NC24

Sharon made a number pattern using this rule:

next number = previous number   ×       +     
        and          are whole numbers.

 
Her number pattern is:

`−2, −1, 1, 5, 13, …`

 
What is the next number in Sharon's pattern?

`17` `19` `21` `29`
 
 
 
 
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`29`

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`text(Using the rule:)`

`−1` `= −2 xx` `+`   `…\ (1)`
`1` `= −1 xx` `+`   `…\ (2)`

`text(Subtract)\ \ (1) – (2),`

`−2` `= −`
`= 2`  
`text(Substitute)\ ` `text{= 2  into (1)}`
`−1` `= −4\ +`
`= 3`  

 

`:.\ text(Next number)` `= 13 xx 2 + 3`
  `= 29`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 10, smc-3179-10-Arithmetic, smc-683-10-Arithmetic

Algebra, NAP-H4-NC13

Which expression is equal to  `4x-8 + 3x + 2`?

`x` `7x-6` `7x-10` `x-10`
 
 
 
 
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`7x-6`

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`7x-6`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 8, smc-3179-10-Arithmetic, smc-683-10-Arithmetic

Algebra, NAP-H4-NC08

nap-169-nc08

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

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nap-169-nc08-answer

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 8, smc-3179-10-Arithmetic, smc-683-10-Arithmetic

Algebra, NAP-H4-CA18

The equation  `3y - 1 = x`  is rearranged so that  `y`  is the subject.

Which of these correctly gives `y` as the subject?

`y = (x - 1)/3` `y = (x + 1)/3` `y = 3x - 1` `y = 3x + 1`
 
 
 
 
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`y = (x + 1)/3`

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`3y – 1` `= x`
`3y` `= x + 1`
`y` `= (x + 1)/3`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 9, smc-3179-10-Arithmetic, smc-683-10-Arithmetic

Algebra, NAP-I4-NC21

Which of the following is always equal to   `a-b`?

`-a-(-b)` `-a + b` `b-a` `-b + a`
 
 
 
 
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`a-b = -b + a`

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`a-b = -b + a`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 9, smc-3179-10-Arithmetic, smc-683-10-Arithmetic

Algebra, NAP-I4-CA31 SA

What is the value of  `x`  given  `5/2 x + 5 = 3x - 1?`

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`12`

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`5x + 10` `= 6x – 2`
 `x` `= 12`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 10, smc-3179-10-Arithmetic, smc-683-10-Arithmetic

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