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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 #231 : Reasoning With Equations & Inequalities

Is the point $\left(28,-15\right)$ included in the inequality $y\geq- 35 x^{3}$ ?

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. $-15\geq-35\cdot28^{3}$ $-15\geq-35\cdot21952$ $-15\geq-768320$

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

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Example Question #232 : Reasoning With Equations & Inequalities

Is the point $\left(40,48\right)$ included in the inequality $y\geq4 x^{6}$ ?

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. $48\geq4\cdot40^{6}$ $48\geq4\cdot4096000000$ $48\geq16384000000$

Since is not greater than or equal to 16384000000 the point is not included in the inequality.

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Example Question #233 : Reasoning With Equations & Inequalities

Is the point $\left(28,-6\right)$ included in the inequality $y\geq- 2 x^{6}$ ?

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. $-6\geq-2\cdot28^{6}$ $-6\geq-2\cdot481890304$ $-6\geq-963780608$

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

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Example Question #234 : Reasoning With Equations & Inequalities

Is the point $\left(8,-29\right)$ included in the inequality $y\geq9 x^{3}$ ?

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. $-29\geq9\cdot8^{3}$ $-29\geq9\cdot512$ $-29\geq4608$

Since is not greater than or equal to 4608 the point is not included in the inequality.

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Example Question #235 : Reasoning With Equations & Inequalities

Is the point $\left(36,4\right)$ included in the inequality $y\geq- 22 x^{3}$ ?

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. $4\geq-22\cdot36^{3}$ $4\geq-22\cdot46656$ $4\geq-1026432$

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

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Example Question #236 : Reasoning With Equations & Inequalities

Is the point $\left(7,42\right)$ included in the inequality $y\geq- 29 x^{2}$ ?

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. $42\geq-29\cdot7^{2}$ $42\geq-29\cdot49$ $42\geq-1421$

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

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Example Question #237 : Reasoning With Equations & Inequalities

Is the point $\left(11,-27\right)$ included in the inequality $y\geq- 5 x^{4}$ ?

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. $-27\geq-5\cdot11^{4}$ $-27\geq-5\cdot14641$ $-27\geq-73205$

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

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Example Question #238 : Reasoning With Equations & Inequalities

Is the point $\left(6,-2\right)$ included in the inequality $y\geq11 x^{5}$ ?

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. $-2\geq11\cdot6^{5}$ $-2\geq11\cdot7776$ $-2\geq85536$

Since is not greater than or equal to 85536 the point is not included in the inequality.

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Example Question #239 : Reasoning With Equations & Inequalities

Is the point $\left(5,25\right)$ included in the inequality $y\geq21 x^{2}$ ?

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. $25\geq21\cdot5^{2}$ $25\geq21\cdot25$ $25\geq525$

Since is not greater than or equal to 525 the point is not included in the inequality.

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Example Question #240 : Reasoning With Equations & Inequalities

Is the point $\left(16,-48\right)$ included in the inequality $y\geq- 3 x^{6}$ ?

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. $-48\geq-3\cdot16^{6}$ $-48\geq-3\cdot16777216$ $-48\geq-50331648$

Since is greater than the 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 : 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 #231 : Reasoning With Equations & Inequalities

Example Question #232 : Reasoning With Equations & Inequalities

Example Question #233 : Reasoning With Equations & Inequalities

Example Question #234 : Reasoning With Equations & Inequalities

Example Question #235 : Reasoning With Equations & Inequalities

Example Question #236 : Reasoning With Equations & Inequalities

Example Question #237 : Reasoning With Equations & Inequalities

Example Question #238 : Reasoning With Equations & Inequalities

Example Question #239 : Reasoning With Equations & Inequalities

Example Question #240 : Reasoning With Equations & Inequalities

All Common Core: High School - Algebra Resources

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