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Common Core: High School - Algebra : Plotted Solutions and the Graph of Two Variable Equations: CCSS.Math.Content.HSA-REI.D.10

Study concepts, example questions & explanations for Common Core: High School - Algebra

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All Common Core: High School - Algebra Resources

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Example Questions

Example Question #1 : Plotted Solutions And The Graph Of Two Variable Equations: Ccss.Math.Content.Hsa Rei.D.10

Does the point $\left( -5 , 22 \right)$ exist on the line y = x + 27?

Possible Answers:

The point $\left( -5 , 22 \right)$ exists on the line.

The point $\left( -5 , 22 \right)$ does not exist on the line.

Correct answer:

The point $\left( -5 , 22 \right)$ exists on the line.

Explanation:

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = 1 \cdot -5 + 27$

y = -5 + 27

y = 22

Since the values are equal, then the point $\left( -5 , 22 \right)$ exist on the line.

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Example Question #2 : Plotted Solutions And The Graph Of Two Variable Equations: Ccss.Math.Content.Hsa Rei.D.10

Does the point $\left( -9 , 3 \right)$ exist on the line y = - 24 x + 18?

Possible Answers:

The point $\left( -9 , 3 \right)$ exists on the line.

The point $\left( -9 , 3 \right)$ does not exist on the line.

Correct answer:

The point $\left( -9 , 3 \right)$ does not exist on the line.

Explanation:

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = -24 \cdot -9 + 18$

y = 216 + 18

y = 234

Since the values are not equal, then the point $\left( -9 , 3 \right)$ does not exist on the line.

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Example Question #607 : High School: Algebra

Does the point $\left( -11 , 60 \right)$ exist on the line y = - 2 x + 38?

Possible Answers:

The point $\left( -11 , 60 \right)$ exists on the line.

The point $\left( -11 , 60 \right)$ does not exist on the line.

Correct answer:

The point $\left( -11 , 60 \right)$ exists on the line.

Explanation:

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = -2 \cdot -11 + 38$

y = 22 + 38

y = 60

Since the y values are equal, then the point $\left( -11 , 60 \right)$ exist on the line.

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Example Question #608 : High School: Algebra

Does the point $\left( -45 , 16 \right)$ exist on the line y = 9 x + 45?

Possible Answers:

The point $\left( -45 , 16 \right)$ does not exist on the line.

The point $\left( -45 , 16 \right)$ exists on the line.

Correct answer:

The point $\left( -45 , 16 \right)$ does not exist on the line.

Explanation:

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = 9 \cdot -45 + 45$

y = -405 + 45

y = -360

Since the values are not equal, then the point $\left( -45 , 16 \right)$ does not exist on the line.

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Example Question #609 : High School: Algebra

Does the point $\left( -27 , 44 \right)$ exist on the line y = - x + 17?

Possible Answers:

The point $\left( -27 , 44 \right)$ exists on the line.

The point $\left( -27 , 44 \right)$ does not exist on the line.

Correct answer:

The point $\left( -27 , 44 \right)$ exists on the line.

Explanation:

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = -1 \cdot -27 + 17$

y = 27 + 17

y = 44

Since the values are equal, then the point $\left( -27 , 44 \right)$ exist on the line.

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Example Question #1 : Plotted Solutions And The Graph Of Two Variable Equations: Ccss.Math.Content.Hsa Rei.D.10

Does the point $\left( -25 , 76 \right)$ exist on the line y = 24 x + 37?

Possible Answers:

The point $\left( -25 , 76 \right)$ exists on the line.

The point $\left( -25 , 76 \right)$ does not exist on the line.

Correct answer:

The point $\left( -25 , 76 \right)$ does not exist on the line.

Explanation:

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = 24 \cdot -25 + 37$

y = -600 + 37

y = -563

Since the values are not equal, then the point $\left( -25 , 76 \right)$ does not exist on the line.

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Example Question #2 : Plotted Solutions And The Graph Of Two Variable Equations: Ccss.Math.Content.Hsa Rei.D.10

Does the point $\left( -1 , 47 \right)$ exist on the line y = - 7 x + 40?

Possible Answers:

The point $\left( -1 , 47 \right)$ does not exist on the line.

The point $\left( -1 , 47 \right)$ exists on the line.

Correct answer:

The point $\left( -1 , 47 \right)$ exists on the line.

Explanation:

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = -7 \cdot -1 + 40$

y = 7 + 40

y = 47

Since the values are equal, then the point $\left( -1 , 47 \right)$ exist on the line.

Report an Error

Example Question #3 : Plotted Solutions And The Graph Of Two Variable Equations: Ccss.Math.Content.Hsa Rei.D.10

Does the point $\left( 3 , -16 \right)$ exist on the line y = 10 x + 49?

Possible Answers:

The point $\left( 3 , -16 \right)$ does not exist on the line.

The point $\left( 3 , -16 \right)$ exists on the line.

Correct answer:

The point $\left( 3 , -16 \right)$ does not exist on the line.

Explanation:

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = 10 \cdot 3 + 49$

y = 30 + 49

y = 79

Since the values are not equal, then the point $\left( 3 , -16 \right)$ does not exist on the line.

Report an Error

Example Question #4 : Plotted Solutions And The Graph Of Two Variable Equations: Ccss.Math.Content.Hsa Rei.D.10

Does the point $\left( 0 , 32 \right)$ exist on the line y = 17 x + 32?

Possible Answers:

The point $\left( 0 , 32 \right)$ exists on the line.

The point $\left( 0 , 32 \right)$ does not exist on the line.

Correct answer:

The point $\left( 0 , 32 \right)$ exists on the line.

Explanation:

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = 17 \cdot 0 + 32$

y = 0 + 32

y = 32

Since the values are equal, then the point $\left( 0 , 32 \right)$ exist on the line.

Report an Error

Example Question #5 : Plotted Solutions And The Graph Of Two Variable Equations: Ccss.Math.Content.Hsa Rei.D.10

Does the point $\left( -5 , 2 \right)$ exist on the line y = 44 x + 40?

Possible Answers:

The point $\left( -5 , 2 \right)$ does not exist on the line.

The point $\left( -5 , 2 \right)$ exists on the line.

Correct answer:

The point $\left( -5 , 2 \right)$ does not exist on the line.

Explanation:

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = 44 \cdot -5 + 40$

y = -220 + 40

y = -180

Since the values are not equal, then the point $\left( -5 , 2 \right)$ does not exist on the line.

Report an Error

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All Common Core: High School - Algebra Resources

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Common Core: High School - Algebra : Plotted Solutions and the Graph of Two Variable Equations: CCSS.Math.Content.HSA-REI.D.10

Study concepts, example questions & explanations for Common Core: High School - Algebra

All Common Core: High School - Algebra Resources

Example Questions

Example Question #1 : Plotted Solutions And The Graph Of Two Variable Equations: Ccss.Math.Content.Hsa Rei.D.10

Example Question #2 : Plotted Solutions And The Graph Of Two Variable Equations: Ccss.Math.Content.Hsa Rei.D.10

Example Question #607 : High School: Algebra

Example Question #608 : High School: Algebra

Example Question #609 : High School: Algebra

Example Question #1 : Plotted Solutions And The Graph Of Two Variable Equations: Ccss.Math.Content.Hsa Rei.D.10

Example Question #2 : Plotted Solutions And The Graph Of Two Variable Equations: Ccss.Math.Content.Hsa Rei.D.10

Example Question #3 : Plotted Solutions And The Graph Of Two Variable Equations: Ccss.Math.Content.Hsa Rei.D.10

Example Question #4 : Plotted Solutions And The Graph Of Two Variable Equations: Ccss.Math.Content.Hsa Rei.D.10

Example Question #5 : Plotted Solutions And The Graph Of Two Variable Equations: Ccss.Math.Content.Hsa Rei.D.10

All Common Core: High School - Algebra Resources

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