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Common Core: High School - Algebra : Reasoning with Equations & Inequalities

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

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All Common Core: High School - Algebra Resources

8 Diagnostic Tests 97 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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 $\left( 10 , 297 \right)$ 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 #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 $\left( 3 , 731 \right)$ 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 #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 $\left( 9 , 405 \right)$ 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 #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 $\left( 37 , -112 \right)$ 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 #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 $\left( 6 , -393 \right)$ 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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Example Question #181 : Reasoning With Equations & Inequalities

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 #182 : Reasoning With Equations & Inequalities

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 #183 : Reasoning With Equations & Inequalities

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 #184 : Reasoning With Equations & Inequalities

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 #185 : Reasoning With Equations & Inequalities

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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All Common Core: High School - Algebra Resources

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Common Core: High School - Algebra : Reasoning with Equations & Inequalities

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

All Common Core: High School - Algebra Resources

Example Questions

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 #181 : Reasoning With Equations & Inequalities

Example Question #182 : Reasoning With Equations & Inequalities

Example Question #183 : Reasoning With Equations & Inequalities

Example Question #184 : Reasoning With Equations & Inequalities

Example Question #185 : Reasoning With Equations & Inequalities

All Common Core: High School - Algebra Resources

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