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

Is the point $\left( 14 , 143 \right)$ included in the inequality $y \geq 32 x^{3}?$

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.

$143 \geq 32 \cdot 14 ^{ 3 }$

$143 \geq 32 \cdot 2744$

$143 \geq 87808$

Since 143 is not greater than or equal to 87808 the point is not included in the inequality.

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

Is the point $\left( 19 , -191 \right)$ included in the inequality $y \geq - 21 x^{5}?$

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.

$-191 \geq -21 \cdot 19 ^{ 5 }$

$-191 \geq -21 \cdot 2476099$

$-191 \geq -51998079$

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

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Example Question #13 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(7,16\right)$ included in the inequality $y\geq- 31 x^{4}$ ?

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $16\geq-31\cdot7^{4}$ $16\geq-31\cdot2401$ $16\geq-74431$ Since is greater thanthe point is included in the inequality.

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Example Question #14 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(49,16\right)$ included in the inequality $y\geq- 24 x^{4}$ ?

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $16\geq-24\cdot49^{4}$ $16\geq-24\cdot5764801$ $16\geq-138355224$ Since is greater thanthe point is included in the inequality.

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Example Question #15 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(46,20\right)$ included in the inequality $y\geq5 x^{5}$ ?

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $20\geq5\cdot46^{5}$ $20\geq5\cdot205962976$ $20\geq1029814880$ Since is not greater than or equal to the point is not included in the inequality.

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Example Question #16 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(16,31\right)$ included in the inequality $y\geq- 16 x^{6}$ ?

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $31\geq-16\cdot16^{6}$ $31\geq-16\cdot16777216$ $31\geq-268435456$ Since is greater thanthe point is included in the inequality.

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Example Question #17 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(7,25\right)$ included in the inequality $y\geq- 9 x^{3}$ ?

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $25\geq-9\cdot7^{3}$ $25\geq-9\cdot343$ $25\geq-3087$ Since is greater thanthe point is included in the inequality.

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Example Question #18 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(49,-5\right)$ included in the inequality $y\geq- 19 x^{5}$ ?

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-5\geq-19\cdot49^{5}$ $-5\geq-19\cdot282475249$ $-5\geq-5367029731$ Since is greater thanthe point is included in the inequality.

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Example Question #19 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(22,-6\right)$ included in the inequality $y\geq- 40 x^{5}$ ?

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-6\geq-40\cdot22^{5}$ $-6\geq-40\cdot5153632$ $-6\geq-206145280$ Since is greater thanthe point is included in the inequality.

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Example Question #20 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(31,-39\right)$ included in the inequality $y\geq- 17 x^{3}$ ?

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-39\geq-17\cdot31^{3}$ $-39\geq-17\cdot29791$ $-39\geq-506447$ Since is greater thanthe point is 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 #11 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

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

Example Question #13 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #14 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #15 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #16 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #17 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #18 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #19 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #20 : 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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