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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 #291 : Reasoning With Equations & Inequalities

Is the point $\left(39,-9\right)$ included in the inequality $y\geq13 x^{4}$ ?

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. $-9\geq13\cdot39^{4}$ $-9\geq13\cdot2313441$ $-9\geq30074733$

Since is not greater than or equal to 30074733 the point is not included in the inequality.

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Example Question #292 : Reasoning With Equations & Inequalities

Is the point $\left(30,-36\right)$ included in the inequality $y\geq18 x^{3}$ ?

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. $-36\geq18\cdot30^{3}$ $-36\geq18\cdot27000$ $-36\geq486000$

Since is not greater than or equal to 486000 the point is not included in the inequality.

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Example Question #293 : Reasoning With Equations & Inequalities

Is the point $\left(30,-36\right)$ included in the inequality $y\geq16 x^{6}$ ?

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. $-36\geq16\cdot30^{6}$ $-36\geq16\cdot729000000$ $-36\geq11664000000$

Since is not greater than or equal to 11664000000 the point is not included in the inequality.

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Example Question #294 : Reasoning With Equations & Inequalities

Is the point $\left(30,9\right)$ included in the inequality $y\geq16 x^{3}$ ?

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. $9\geq16\cdot30^{3}$ $9\geq16\cdot27000$ $9\geq432000$

Since is not greater than or equal to 432000 the point is not included in the inequality.

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Example Question #295 : Reasoning With Equations & Inequalities

Is the point $\left(17,13\right)$ included in the inequality $y\geq32 x^{2}$ ?

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. $13\geq32\cdot17^{2}$ $13\geq32\cdot289$ $13\geq9248$

Since is not greater than or equal to 9248 the point is not included in the inequality.

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Example Question #296 : Reasoning With Equations & Inequalities

Is the point $\left(8,10\right)$ included in the inequality $y\geq11 x^{3}$ ?

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. $10\geq11\cdot8^{3}$ $10\geq11\cdot512$ $10\geq5632$

Since is not greater than or equal to 5632 the point is not included in the inequality.

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Example Question #297 : Reasoning With Equations & Inequalities

Is the point $\left(43,10\right)$ included in the inequality $y\geq- 39 x^{3}$ ?

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. $10\geq-39\cdot43^{3}$ $10\geq-39\cdot79507$ $10\geq-3100773$

Since is greater thanthe point is included in the inequality.

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Example Question #298 : Reasoning With Equations & Inequalities

Is the point $\left(45,41\right)$ included in the inequality $y\geq28 x^{5}$ ?

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. $41\geq28\cdot45^{5}$ $41\geq28\cdot184528125$ $41\geq5166787500$

Since is not greater than or equal to 5166787500 the point is not included in the inequality.

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Example Question #299 : Reasoning With Equations & Inequalities

Is the point $\left(12,35\right)$ included in the inequality $y\geqx^{2}$ ?

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. $35\geq1\cdot12^{2}$ $35\geq1\cdot144$ $35\geq144$

Since is greater than 144 the point is included in the inequality.

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Example Question #300 : Reasoning With Equations & Inequalities

Is the point $\left(38,-27\right)$ included in the inequality $y\geq- 17 x^{6}$ ?

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. $-27\geq-17\cdot38^{6}$ $-27\geq-17\cdot3010936384$ $-27\geq-51185918528$

Since is greater thanthe 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 #291 : Reasoning With Equations & Inequalities

Example Question #292 : Reasoning With Equations & Inequalities

Example Question #293 : Reasoning With Equations & Inequalities

Example Question #294 : Reasoning With Equations & Inequalities

Example Question #295 : Reasoning With Equations & Inequalities

Example Question #296 : Reasoning With Equations & Inequalities

Example Question #297 : Reasoning With Equations & Inequalities

Example Question #298 : Reasoning With Equations & Inequalities

Example Question #299 : Reasoning With Equations & Inequalities

Example Question #300 : Reasoning With Equations & Inequalities

All Common Core: High School - Algebra Resources

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