Algebra, NAP_23401

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

606

Question

Iggy used this rule to make a number pattern.

  • Start with 2.

  • To get to the next number, multiply by 2 then add 3.

What is the sum of the first three numbers in Iggy's pattern?

Worked Solution

First write down the pattern:
First number = 2
Second number = 2 ×\times 2 + 3 = 7
Third number = 2 ×\times 7 + 3 = 17


Then find the sum of the numbers
Sum of first 3 terms = 2 + 7 + 17 = 26

Question Type

Answer Box

Variables

Variable nameVariable value
question
Iggy used this rule to make a number pattern. * Start with 2. * To get to the next number, multiply by 2 then add 3. What is the sum of the first three numbers in Iggy's pattern?
workedSolution
First write down the pattern:
>>| | | | | ----------------: | ---------------------- |--------- | | First number | \= 2 || | Second number | \= 2 $\times$ 2 + 3| \= 7 | | Third number|\= 2 $\times$ 7 + 3| \= 17 |

Then find the sum of the numbers
>>| | | | ----------------: | ---------------------- | | Sum of first 3 terms | \= 2 + 7 + 17 = {{{correctAnswer0}}}|
correctAnswer0
26
prefix0
Sum
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer026

Sum

Variant 1

DifficultyLevel

607

Question

Ellie used this rule to make a number pattern.

  • Start with 4.

  • To get to the next number, multiply by 3 then takeaway 1.

What is the sum of the first three numbers in Ellie's pattern?

Worked Solution

First write down the pattern:
First number = 4
Second number = 3 ×\times 4 −- 1 = 11
Third number = 3 ×\times 11 −- 1 = 32


Then find the sum of the numbers
Sum of first 3 terms = 4 + 11 + 32 = 47

Question Type

Answer Box

Variables

Variable nameVariable value
question
Ellie used this rule to make a number pattern. * Start with 4. * To get to the next number, multiply by 3 then takeaway 1. What is the sum of the first three numbers in Ellie's pattern?
workedSolution
First write down the pattern:
>>| | | | | ----------------: | ---------------------- |--------- | | First number | \= 4 || | Second number | \= 3 $\times$ 4 $-$ 1| \= 11 | | Third number|\= 3 $\times$ 11 $-$ 1| \= 32 |

Then find the sum of the numbers
>>| | | | ----------------: | ---------------------- | | Sum of first 3 terms | \= 4 + 11 + 32 = {{{correctAnswer0}}}|
correctAnswer0
47
prefix0
Sum
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer047

Sum

Variant 2

DifficultyLevel

608

Question

Boss used this rule to make a number pattern.

  • Start with 10.

  • To get to the next number, multiply by 4 then add 5.

What is the sum of the first three numbers in Boss's pattern?

Worked Solution

First write down the pattern:
First number = 10
Second number = 4 ×\times 10 + 5 = 45
Third number = 4 ×\times 45 + 5 = 185


Then find the sum of the numbers
Sum of first 3 terms = 10 + 45 + 185 = 240

Question Type

Answer Box

Variables

Variable nameVariable value
question
Boss used this rule to make a number pattern. * Start with 10. * To get to the next number, multiply by 4 then add 5. What is the sum of the first three numbers in Boss's pattern?
workedSolution
First write down the pattern:
>>| | | | | ----------------: | ---------------------- |--------- | | First number | \= 10 || | Second number | \= 4 $\times$ 10 + 5| \= 45 | | Third number|\= 4 $\times$ 45 + 5| \= 185 |

Then find the sum of the numbers
>>| | | | ----------------: | ---------------------- | | Sum of first 3 terms | \= 10 + 45 + 185 = {{{correctAnswer0}}}|
correctAnswer0
240
prefix0
Sum
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0240

Sum

Variant 3

DifficultyLevel

610

Question

Jaydah used this rule to make a number pattern.

  • Start with 7.

  • To get to the next number, multiply by 5 then takeaway 3.

What is the sum of the first three numbers in Jaydah's pattern?

Worked Solution

First write down the pattern:
First number = 7
Second number = 5 ×\times 7 −- 3 = 32
Third number = 5 ×\times 32 −- 3 = 157


Then find the sum of the numbers
Sum of first 3 terms = 7 + 32 + 157 = 196

Question Type

Answer Box

Variables

Variable nameVariable value
question
Jaydah used this rule to make a number pattern. * Start with 7. * To get to the next number, multiply by 5 then takeaway 3. What is the sum of the first three numbers in Jaydah's pattern?
workedSolution
First write down the pattern:
>>| | | | | ----------------: | ---------------------- |--------- | | First number | \= 7 || | Second number | \= 5 $\times$ 7 $-$ 3| \= 32 | | Third number|\= 5 $\times$ 32 $-$ 3| \= 157 |

Then find the sum of the numbers
>>| | | | ----------------: | ---------------------- | | Sum of first 3 terms | \= 7 + 32 + 157 = {{{correctAnswer0}}}|
correctAnswer0
196
prefix0
Sum
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0196

Sum

Variant 4

DifficultyLevel

612

Question

Joyce used this rule to make a number pattern.

  • Start with 12.

  • To get to the next number, multiply by 4 then takeaway 8.

What is the sum of the first three numbers in Joyce's pattern?

Worked Solution

First write down the pattern:
First number = 12
Second number = 4 ×\times 12 −- 8 = 40
Third number = 4 ×\times 40 −- 8 = 152


Then find the sum of the numbers
Sum of first 3 terms = 12 + 40 + 152 = 204

Question Type

Answer Box

Variables

Variable nameVariable value
question
Joyce used this rule to make a number pattern. * Start with 12. * To get to the next number, multiply by 4 then takeaway 8. What is the sum of the first three numbers in Joyce's pattern?
workedSolution
First write down the pattern:
>>| | | | | ----------------: | ---------------------- |--------- | | First number | \= 12 || | Second number | \= 4 $\times$ 12 $-$ 8| \= 40 | | Third number|\= 4 $\times$ 40 $-$ 8| \= 152 |

Then find the sum of the numbers
>>| | | | ----------------: | ---------------------- | | Sum of first 3 terms | \= 12 + 40 + 152 = {{{correctAnswer0}}}|
correctAnswer0
204
prefix0
Sum
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0204

Sum

Tags

  • staging_suejones