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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 #201 : Reasoning With Equations & Inequalities

Is the point $\left(39,-13\right)$ included in the inequality $y\geq- 28 x^{6}$ ?

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. $-13\geq-28\cdot39^{6}$ $-13\geq-28\cdot3518743761$ $-13\geq-98524825308$ Since is greater than the point is included in the inequality.

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Example Question #202 : Reasoning With Equations & Inequalities

Is the point $\left(35,12\right)$ included in the inequality $y\geq- 26 x^{3}$ ?

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. $12\geq-26\cdot35^{3}$ $12\geq-26\cdot42875$ $12\geq-1114750$ Since is greater than the point is included in the inequality.

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Example Question #203 : Reasoning With Equations & Inequalities

Is the point $\left(28,0\right)$ included in the inequality $y\geqx^{6}$ ?

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $0\geq1\cdot28^{6}$ $0\geq1\cdot481890304$ $0\geq481890304$ Since is not greater than or equal to the point is not included in the inequality.

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Example Question #204 : Reasoning With Equations & Inequalities

Is the point $\left(42,-9\right)$ included in the inequality $y\geq- 13 x^{6}$ ?

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. $-9\geq-13\cdot42^{6}$ $-9\geq-13\cdot5489031744$ $-9\geq-71357412672$ Since is greater than the point is included in the inequality.

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Example Question #205 : Reasoning With Equations & Inequalities

Is the point $\left(20,20\right)$ included in the inequality $y\geq26 x^{3}$ ?

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $20\geq26\cdot20^{3}$ $20\geq26\cdot8000$ $20\geq208000$ Since is not greater than or equal to 208000 the point is not included in the inequality.

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Example Question #206 : Reasoning With Equations & Inequalities

Is the point $\left(27,46\right)$ 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. $46\geq-9\cdot27^{3}$ $46\geq-9\cdot19683$ $46\geq-177147$ Since is greater than the point is included in the inequality.

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Example Question #207 : Reasoning With Equations & Inequalities

Is the point $\left(38,36\right)$ included in the inequality $y\geq14 x^{6}$ ?

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $36\geq14\cdot38^{6}$ $36\geq14\cdot3010936384$ $36\geq42153109376$ Since is not greater than or equal to the point is not included in the inequality.

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Example Question #208 : Reasoning With Equations & Inequalities

Is the point $\left(47,-46\right)$ included in the inequality $y\geq2 x^{3}$ ?

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-46\geq2\cdot47^{3}$ $-46\geq2\cdot103823$ $-46\geq207646$ Since is not greater than or equal to 207646 the point is not included in the inequality.

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Example Question #209 : Reasoning With Equations & Inequalities

Is the point $\left(48,21\right)$ included in the inequality $y\geq26 x^{5}$ ?

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. $21\geq26\cdot48^{5}$ $21\geq26\cdot254803968$ $21\geq6624903168$ Since is not greater than or equal to the point is not included in the inequality.

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Example Question #210 : Reasoning With Equations & Inequalities

Is the point $\left(33,24\right)$ included in the inequality $y\geq- 11 x^{4}$ ?

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. $24\geq-11\cdot33^{4}$ $24\geq-11\cdot1185921$ $24\geq-13045131$ Since is greater than the 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 #201 : Reasoning With Equations & Inequalities

Example Question #202 : Reasoning With Equations & Inequalities

Example Question #203 : Reasoning With Equations & Inequalities

Example Question #204 : Reasoning With Equations & Inequalities

Example Question #205 : Reasoning With Equations & Inequalities

Example Question #206 : Reasoning With Equations & Inequalities

Example Question #207 : Reasoning With Equations & Inequalities

Example Question #208 : Reasoning With Equations & Inequalities

Example Question #209 : Reasoning With Equations & Inequalities

Example Question #210 : Reasoning With Equations & Inequalities

All Common Core: High School - Algebra Resources

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