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Common Core: High School - Number and Quantity : High School: Number and Quantity

Study concepts, example questions & explanations for Common Core: High School - Number and Quantity

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All Common Core: High School - Number and Quantity Resources

6 Diagnostic Tests 49 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Vector Representation Of Quantities (Velocity, Etc.): Ccss.Math.Content.Hsn Vm.A.3

An arrow is shot eastward at $125\:\text{mph}$ , and there are winds going west at $4\:\text{mph}$ , how fast the arrow going?

Possible Answers:

$125\:\text{mph}$

$121\:\text{mph}$

$100\:\text{mph}$

$129\:\text{mph}$

$4\:\text{mph}$

Correct answer:

$121\:\text{mph}$

Explanation:

Since the arrow and the wind are going in opposite directions, we simply subtract the wind speed from the speed of the arrow.

$\text{Arrow Speed}=125-4=121$

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Example Question #12 : Vector Representation Of Quantities (Velocity, Etc.): Ccss.Math.Content.Hsn Vm.A.3

A ship is sailing northeast ward at $150\: \text{knots}$ , and there are winds going southwest ward at $60\:\text{knots}$ . How fast is the ship going?

Possible Answers:

$150\: \text{knots}$

$210\: \text{knots}$

$90\:\text{knots}$

$60\:\text{knots}$

$200\: \text{knots}$

Correct answer:

$90\:\text{knots}$

Explanation:

Since the direction of the ship and the wind are going in opposite directions, we simply subtract the speed of the wind from the speed of the ship.

$\text{Ship Speed}=150-60=90$

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Example Question #131 : High School: Number And Quantity

If v=<0, 4> , and w=<-3, -2> , find v+w .

Possible Answers:

v+w=<6,3>

v+w=<0,-2>

v+w=<3,6>

v+w=<2,-3>

v+w=<-3,2>

Correct answer:

v+w=<-3,2>

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the x's , and the y's .

x=0+(-3)=-3

y=4+(-2)=4-2=2

v+w=<-3,2>

Below is a visual representation of what we just did.

Vecadd

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Example Question #2 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

If v=<1, -4> , and w=<-1, 9> , find v+w .

Possible Answers:

v+w=<5,0>

v+w=<5,2>

v+w=<2,5>

v+w=<0,5>

v+w=<-2,5>

Correct answer:

v+w=<0,5>

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the x's , and the y's .

x=1+(-1)=1-1=0

y=-4+9=5

v+w=<0,5>

Below is a visual representation of what we just did.

Screen shot 2016 03 14 at 3.09.45 pm

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Example Question #31 : Vector & Matrix Quantities

If v=<-1, 8> , and w=<1, -6> , find v+w .

Possible Answers:

v+w=<-2,14>

v+w=<2,-2>

v+w=<0,2>

v+w=<-2,2>

v+w=<2,0>

Correct answer:

v+w=<0,2>

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the x's , and the y's .

x=-1+1=0

y=8-6=2

v+w=<0,2>

Below is a visual representation of what we just did.

Screen shot 2016 03 14 at 3.40.10 pm

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Example Question #1 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

If v=<-1, 4> , and w=<-2, 2> , find v+w .

Possible Answers:

v+w=<-6,3>

v+w=<6,-3>

v+w=<3,6>

v+w=<-3,6>

v+w=<3,-6>

Correct answer:

v+w=<-3,6>

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the x's , and the y's .

x=-1+(-2)=-3

y=4+2=6

v+w=<-3,6>

Below is a visual representation of what we just did.

Screen shot 2016 03 14 at 3.45.17 pm

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Example Question #5 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

If v=<1, 2> , and w=<1, 7> , find v+w .

Possible Answers:

v+w=<2,8>

v+w=<2,9>

v+w=<-8,2>

v+w=<8,2>

v+w=<9,2>

Correct answer:

v+w=<2,9>

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the x's , and the y's .

x=1+1=2

y=2+7=9

v+w=<2,9>

Below is a visual representation of what we just did.

Screen shot 2016 03 14 at 4.12.36 pm

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Example Question #132 : High School: Number And Quantity

If v=<1, 15> , and w=<1, 6> , find v+w .

Possible Answers:

v+w=<7,16>

v+w=<16,7>

v+w=<2,21>

v+w=<21,2>

Correct answer:

v+w=<2,21>

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the x's , and the y's .

x=1+1=2

y=15+6=21

v+w=<2,21>

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 8.33.39 am

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Example Question #1 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

If v=<-5, -4> , and w=<-5, -10> , find v+w .

Possible Answers:

v+w=<-9,-15>

v+w=<-15,-9>

v+w=<-10,-9>

v+w=<-10,-14>

v+w=<-14,-10>

Correct answer:

v+w=<-10,-14>

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the x's , and the y's .

x=-5+(-5)=-10

y=-4+(-10)=-14

v+w=<-10,-14>

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 8.40.55 am

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Example Question #7 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

If v=<3, 3> , and w=<4, -8> , find v+w .

Possible Answers:

v+w=<7,-5>

v+w=<6,-4>

v+w=<-4,6>

v+w=<-5,7>

v+w=<4,6>

Correct answer:

v+w=<7,-5>

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the x's , and the y's .

x=3+4=7

y=3+(-8)=-5

v+w=<7,-5>

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 8.47.19 am

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All Common Core: High School - Number and Quantity Resources

6 Diagnostic Tests 49 Practice Tests Question of the Day Flashcards Learn by Concept

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Common Core: High School - Number and Quantity : High School: Number and Quantity

Study concepts, example questions & explanations for Common Core: High School - Number and Quantity

All Common Core: High School - Number and Quantity Resources

Example Questions

Example Question #11 : Vector Representation Of Quantities (Velocity, Etc.): Ccss.Math.Content.Hsn Vm.A.3

Example Question #12 : Vector Representation Of Quantities (Velocity, Etc.): Ccss.Math.Content.Hsn Vm.A.3

Example Question #131 : High School: Number And Quantity

Example Question #2 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

Example Question #31 : Vector & Matrix Quantities

Example Question #1 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

Example Question #5 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

Example Question #132 : High School: Number And Quantity

Example Question #1 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

Example Question #7 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

All Common Core: High School - Number and Quantity Resources

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