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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 #281 : Reasoning With Equations & Inequalities

Is the point $\left(9,0\right)$ included in the inequality $y\geq- 26 x^{2}$ ?

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. $0\geq-26\cdot9^{2}$ $0\geq-26\cdot81$ $0\geq-2106$

Since is greater thanthe point is included in the inequality.

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Example Question #282 : Reasoning With Equations & Inequalities

Is the point $\left(6,32\right)$ included in the inequality $y\geq10 x^{4}$ ?

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $32\geq10\cdot6^{4}$ $32\geq10\cdot1296$ $32\geq12960$

Since is not greater than or equal to 12960 the point is not included in the inequality.

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Example Question #283 : Reasoning With Equations & Inequalities

Is the point $\left(48,-8\right)$ included in the inequality $y\geq21 x^{6}$ ?

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. $-8\geq21\cdot48^{6}$ $-8\geq21\cdot12230590464$ $-8\geq256842399744$

Since is not greater than or equal to 256842399744 the point is not included in the inequality.

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Example Question #284 : Reasoning With Equations & Inequalities

Is the point $\left(2,-11\right)$ included in the inequality $y\geq- 15 x^{4}$ ?

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. $-11\geq-15\cdot2^{4}$ $-11\geq-15\cdot16$ $-11\geq-240$

Since is greater thanthe point is included in the inequality.

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Example Question #285 : Reasoning With Equations & Inequalities

Is the point $\left(21,-3\right)$ included in the inequality $y\geq34 x^{6}$ ?

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. $-3\geq34\cdot21^{6}$ $-3\geq34\cdot85766121$ $-3\geq2916048114$

Since is not greater than or equal to 2916048114 the point is not included in the inequality.

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Example Question #286 : Reasoning With Equations & Inequalities

Is the point $\left(44,35\right)$ included in the inequality $y\geq13 x^{5}$ ?

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. $35\geq13\cdot44^{5}$ $35\geq13\cdot164916224$ $35\geq2143910912$

Since is not greater than or equal to 2143910912 the point is not included in the inequality.

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Example Question #287 : Reasoning With Equations & Inequalities

Is the point $\left(25,-40\right)$ included in the inequality $y\geq- 2 x^{5}$ ?

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. $-40\geq-2\cdot25^{5}$ $-40\geq-2\cdot9765625$ $-40\geq-19531250$

Since is greater thanthe point is included in the inequality.

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Example Question #288 : Reasoning With Equations & Inequalities

Is the point $\left(38,12\right)$ included in the inequality $y\geq27 x^{6}$ ?

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. $12\geq27\cdot38^{6}$ $12\geq27\cdot3010936384$ $12\geq81295282368$

Since is not greater than or equal to 81295282368 the point is not included in the inequality.

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Example Question #289 : Reasoning With Equations & Inequalities

Is the point $\left(20,-31\right)$ included in the inequality $y\geq31 x^{4}$ ?

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-31\geq31\cdot20^{4}$ $-31\geq31\cdot160000$ $-31\geq4960000$

Since is not greater than or equal to 4960000 the point is not included in the inequality.

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Example Question #290 : Reasoning With Equations & Inequalities

Is the point $\left(16,23\right)$ included in the inequality $y\geq6 x^{5}$ ?

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. $23\geq6\cdot16^{5}$ $23\geq6\cdot1048576$ $23\geq6291456$

Since is not greater than or equal to 6291456 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 #281 : Reasoning With Equations & Inequalities

Example Question #282 : Reasoning With Equations & Inequalities

Example Question #283 : Reasoning With Equations & Inequalities

Example Question #284 : Reasoning With Equations & Inequalities

Example Question #285 : Reasoning With Equations & Inequalities

Example Question #286 : Reasoning With Equations & Inequalities

Example Question #287 : Reasoning With Equations & Inequalities

Example Question #288 : Reasoning With Equations & Inequalities

Example Question #289 : Reasoning With Equations & Inequalities

Example Question #290 : Reasoning With Equations & Inequalities

All Common Core: High School - Algebra Resources

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