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

Is the point $\left(33,15\right)$ included in the inequality $y\geq- 39 x^{6}$ ?

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. $15\geq-39\cdot33^{6}$ $15\geq-39\cdot1291467969$ $15\geq-50367250791$

Since is greater thanthe point is included in the inequality.

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Example Question #87 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(36,30\right)$ included in the inequality $y\geq23 x^{5}$ ?

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. $30\geq23\cdot36^{5}$ $30\geq23\cdot60466176$ $30\geq1390722048$

Since is not greater than or equal to 1390722048 the point is not included in the inequality.

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Example Question #88 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(4,8\right)$ included in the inequality $y\geq- 18 x^{3}$ ?

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. $8\geq-18\cdot4^{3}$ $8\geq-18\cdot64$ $8\geq-1152$

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

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Example Question #89 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(29,44\right)$ included in the inequality $y\geq- 8 x^{4}$ ?

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. $44\geq-8\cdot29^{4}$ $44\geq-8\cdot707281$ $44\geq-5658248$

Since is greater thanthe point is included in the inequality.

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Example Question #90 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(35,24\right)$ included in the inequality $y\geq- 32 x^{5}$ ?

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. $24\geq-32\cdot35^{5}$ $24\geq-32\cdot52521875$ $24\geq-1680700000$

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

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Example Question #91 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(23,-42\right)$ included in the inequality $y\geq- 25 x^{5}$ ?

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. $-42\geq-25\cdot23^{5}$ $-42\geq-25\cdot6436343$ $-42\geq-160908575$

Since is greater thanthe point is included in the inequality.

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Example Question #92 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(11,-4\right)$ included in the inequality $y\geq- 40 x^{6}$ ?

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. $-4\geq-40\cdot11^{6}$ $-4\geq-40\cdot1771561$ $-4\geq-70862440$

Since is greater thanthe point is included in the inequality.

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Example Question #93 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(4,25\right)$ included in the inequality $y\geq- 28 x^{4}$ ?

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. $25\geq-28\cdot4^{4}$ $25\geq-28\cdot256$ $25\geq-7168$

Since is greater thanthe point is included in the inequality.

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Example Question #94 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(26,29\right)$ included in the inequality $y\geq4 x^{2}$ ?

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. $29\geq4\cdot26^{2}$ $29\geq4\cdot676$ $29\geq2704$

Since is not greater than or equal to 2704 the point is not included in the inequality.

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Example Question #95 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left(29,3\right)$ included in the inequality $y\geq- 25 x^{3}$ ?

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. $3\geq-25\cdot29^{3}$ $3\geq-25\cdot24389$ $3\geq-609725$

Since is greater thanthe point is included in the inequality.

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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

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

Example Question #87 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #88 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #89 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #90 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #91 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #92 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #93 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #94 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #95 : 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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