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Common Core: High School - Algebra : Graph Two Variable Linear Equations and System of Linear Equations as a Half Plane: CCSS.Math.Content.HSA-REI.D.12

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 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 22 , 720 \right)$ included in the inequality $y \geq 10 x^{9}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$720 \geq 10 \cdot 22 ^{9}$

$720 \geq 10 \cdot 1207269217792$

$720 \geq 12072692177920$

Since 720 is not greater than or equal to 12072692177920 the point is not included in the inequality.

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Example Question #2 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 1 , -965 \right)$ included in the inequality $y \geq - 33 x^{6}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$-965 \geq -33 \cdot 1 ^{6}$

$-965 \geq -33 \cdot 1$

$-965 \geq -33$

Since is not greater than or equal to the point is not included in the inequality.

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Example Question #3 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 42 , -318 \right)$ included in the inequality $y \geq 30 x^{4}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$-318 \geq 30 \cdot 42 ^{ 4 }$

$-318 \geq 30 \cdot 3111696$

$-318 \geq 93350880$

Since is not greater than or equal to 93350880 the point is not included in the inequality.

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Example Question #4 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 9 , -705 \right)$ included in the inequality $y \geq 17 x^{11}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$-705 \geq 17 \cdot 9 ^{ 11 }$

$-705 \geq 17 \cdot 31381059609$

$-705 \geq 533478013353$

Since is not greater than or equal to 533478013353 the point is not included in the inequality.

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Example Question #5 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 37 , -448 \right)$ included in the inequality $y \geq 3 x^{7}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$-448 \geq 3 \cdot 37 ^{ 7 }$

$-448 \geq 3 \cdot 94931877133$

$-448 \geq 284795631399$

Since is not greater than or equal to 284795631399 the point is not included in the inequality.

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Example Question #6 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 10 , 297 \right)$ included in the inequality $y \geq 7 x^{11}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and $\uptext{y}$ value.

$297 \geq 7 \cdot 10 ^{ 11 }$

$297 \geq 7 \cdot 100000000000$

$297 \geq 700000000000$

Since 297 is not greater than or equal to 700000000000 the point is not included in the inequality.

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Example Question #7 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 3 , 731 \right)$ included in the inequality $y \geq 12 x^{6}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x$ and values.

$731 \geq 12 \cdot 3 ^{ 6 }$

$731 \geq 12 \cdot 729$

$731 \geq 8748$

Since 731 is not greater than 8748 the point is not included in the inequality.

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Example Question #8 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 9 , 405 \right)$ included in the inequality $y \geq - 33 x^{11}?$

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$405 \geq -33 \cdot 9 ^{ 11 }$

$405 \geq -33 \cdot 31381059609$

$405 \geq -1035574967097$

Since 405 is greater than the point is included in the inequality.

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Example Question #9 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 37 , -112 \right)$ included in the inequality $y \geq - 3 x^{3}?$

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$-112 \geq -3 \cdot 37 ^{ 3 }$

$-112 \geq -3 \cdot 50653$

$-112 \geq -151959$

Since is greater than the point is included in the inequality.

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Example Question #10 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 6 , -393 \right)$ included in the inequality $y \geq 26 x^{11}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$-393 \geq 26 \cdot 6 ^{ 11 }$

$-393 \geq 26 \cdot 362797056$

$-393 \geq 9432723456$

Since is not greater than or equal to 9432723456 the point is not included in the inequality.

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All Common Core: High School - Algebra Resources

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Common Core: High School - Algebra : Graph Two Variable Linear Equations and System of Linear Equations as a Half Plane: CCSS.Math.Content.HSA-REI.D.12

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

All Common Core: High School - Algebra Resources

Example Questions

Example Question #1 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #2 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #3 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #4 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #5 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #6 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #7 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #8 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #9 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #10 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

All Common Core: High School - Algebra Resources

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