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Common Core: High School - Algebra : High School: Algebra

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 #761 : High School: Algebra

Is the point $\left(32,-39\right)$ $\displaystyle \left(32,-39\right)$ included in the inequality $y\geq- 25 x^{4}$ $\displaystyle y\geq- 25 x^{4}$ ?

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ $\displaystyle \uptext{x}$ value. $-39\geq-25\cdot32^{4}$ $\displaystyle -39\geq-25\cdot32^{4}$ $-39\geq-25\cdot1048576$ $\displaystyle -39\geq-25\cdot1048576$ $-39\geq-26214400$ $\displaystyle -39\geq-26214400$

Since $\displaystyle -39$is greater than$\displaystyle -26214400$the point is included in the inequality.

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Example Question #762 : High School: Algebra

Is the point $\left(13,3\right)$ $\displaystyle \left(13,3\right)$ included in the inequality $y\geq- 21 x^{2}$ $\displaystyle y\geq- 21 x^{2}$ ?

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ $\displaystyle \uptext{x}$ value. $3\geq-21\cdot13^{2}$ $\displaystyle 3\geq-21\cdot13^{2}$ $3\geq-21\cdot169$ $\displaystyle 3\geq-21\cdot169$ $3\geq-3549$ $\displaystyle 3\geq-3549$

Since $\displaystyle 3$is greater than$\displaystyle -3549$the point is included in the inequality.

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Example Question #763 : High School: Algebra

Is the point $\left(42,-47\right)$ $\displaystyle \left(42,-47\right)$ included in the inequality $y\geq- 26 x^{4}$ $\displaystyle y\geq- 26 x^{4}$ ?

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ $\displaystyle \uptext{x}$ value. $-47\geq-26\cdot42^{4}$ $\displaystyle -47\geq-26\cdot42^{4}$ $-47\geq-26\cdot3111696$ $\displaystyle -47\geq-26\cdot3111696$ $-47\geq-80904096$ $\displaystyle -47\geq-80904096$

Since $\displaystyle -47$is greater than$\displaystyle -80904096$the point is included in the inequality.

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Example Question #764 : High School: Algebra

Is the point $\left(4,-26\right)$ $\displaystyle \left(4,-26\right)$ included in the inequality $y\geq- 4 x^{5}$ $\displaystyle y\geq- 4 x^{5}$ ?

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ $\displaystyle \uptext{x}$ value. $-26\geq-4\cdot4^{5}$ $\displaystyle -26\geq-4\cdot4^{5}$ $-26\geq-4\cdot1024$ $\displaystyle -26\geq-4\cdot1024$ $-26\geq-4096$ $\displaystyle -26\geq-4096$

Since $\displaystyle -26$is greater than$\displaystyle -4096$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 : High School: Algebra

Study concepts, example questions & explanations for Common Core: High School - Algebra

All Common Core: High School - Algebra Resources

Example Questions

Example Question #761 : High School: Algebra

Example Question #762 : High School: Algebra

Example Question #763 : High School: Algebra

Example Question #764 : High School: Algebra

All Common Core: High School - Algebra Resources

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