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 #1 : Creating Equations✭

Jimmy has a collection of baseball cards. He wants to make at least $20.00 by selling some of them for $4.00 per card. Which inequality best represents this goal?

Possible Answers:

\displaystyle \$4.00c> \$20.00

\displaystyle \$4.00c\leq \$20.00

\displaystyle \$4.00c\geq \$20.00

\displaystyle \$4.00c= \$20.00

\displaystyle \$4.00c< \$20.00

Correct answer:

\displaystyle \$4.00c\geq \$20.00

Explanation:

To set up the inequality that represents Jimmy's situation, first identify what is given in the word problem and then translate it into mathematical terms.

"Jimmy has a collection of baseball cards. He wants to make at least $20.00 by selling some of them for $4.00 per card."

Let,

\displaystyle \\c=\#\text{of baseball cards} \\t=\text{total profit}

Since Jimmy wants to make "at least" $20.00, that means the inequality will have a greater-than or equal-to sign.

\displaystyle \\\text{baseball card selling price}=\$4.00 \\\text{total profit}\geq\$20.00

From here, set up the general inequality and substitute the known values.

\displaystyle \\ \$4.00c\geq t \\\$4.00c\geq \$20.00

Example Question #2 : One Variable Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.1

Jimmy has a collection of baseball cards. He wants to make at least $75.00 by selling some of them for $5.00 per card. Which inequality best represents this goal?

Possible Answers:

\displaystyle \$5.00c\geq \$75.00

\displaystyle \$5.00c< \$75.00

\displaystyle \$5.00c=\$75.00

\displaystyle \$5.00c>\$75.00

\displaystyle \$5.00c\leq \$75.00

Correct answer:

\displaystyle \$5.00c\geq \$75.00

Explanation:

To set up the inequality that represents Jimmy's situation, first identify what is given in the word problem and then translate it into mathematical terms.

"Jimmy has a collection of baseball cards. He wants to make at least $75.00 by selling some of them for $5.00 per card."

Let,

\displaystyle \\c=\#\text{of baseball cards} \\t=\text{total profit}

Since Jimmy wants to make "at least" $75.00, that means the inequality will have a greater-than or equal-to sign.

\displaystyle \\\text{baseball card selling price}=\$5.00 \\\text{total profit}\geq\$75.00

From here, set up the general inequality and substitute the known values.

\displaystyle \\ \$5.00c\geq t \\\$5.00c\geq \$75.00

Example Question #2 : One Variable Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.1

Jimmy has a collection of baseball cards. He wants to make at least $85.00 by selling some of them for $3.00 per card. Which inequality best represents this goal?

Possible Answers:

\displaystyle \$3.00c\leq \$85.00

\displaystyle \$3.00c=\$85.00

\displaystyle \$3.00c< \$85.00

\displaystyle \$3.00c\geq \$85.00

\displaystyle \$3.00c> \$85.00

Correct answer:

\displaystyle \$3.00c\geq \$85.00

Explanation:

To set up the inequality that represents Jimmy's situation, first identify what is given in the word problem and then translate it into mathematical terms.

"Jimmy has a collection of baseball cards. He wants to make at least $85.00 by selling some of them for $3.00 per card."

Let,

\displaystyle \\c=\#\text{of baseball cards} \\t=\text{total profit}

Since Jimmy wants to make "at least" $85.00, that means the inequality will have a greater-than or equal-to sign.

\displaystyle \\\text{baseball card selling price}=\$3.00 \\\text{total profit}\geq\$85.00

From here, set up the general inequality and substitute the known values.

\displaystyle \\ \$3.00c\geq t \\\$3.00c\geq \$85.00

Example Question #1 : One Variable Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.1

Jimmy has a collection of baseball cards. He wants to make at least $15.00 by selling some of them for $0.75 per card. Which inequality best represents this goal?

Possible Answers:

\displaystyle \$0.75c\geq\$15.00

\displaystyle \$0.75c\leq\$15.00

\displaystyle \$0.75c=\$15.00

\displaystyle \$0.75c< \$15.00

\displaystyle \$0.75c>\$15.00

Correct answer:

\displaystyle \$0.75c\geq\$15.00

Explanation:

To set up the inequality that represents Jimmy's situation, first identify what is given in the word problem and then translate it into mathematical terms.

"Jimmy has a collection of baseball cards. He wants to make at least $15.00 by selling some of them for $0.75 per card."

Let,

\displaystyle \\c=\#\text{of baseball cards} \\t=\text{total profit}

Since Jimmy wants to make "at least" $15.00, that means the inequality will have a greater-than or equal-to sign.

\displaystyle \\\text{baseball card selling price}=\$0.75 \\\text{total profit}\geq\$15.00

From here, set up the general inequality and substitute the known values.

\displaystyle \\ \$0.75c\geq t \\\$0.75c\geq \$15.00

Example Question #1 : Creating Equations✭

Jimmy has a collection of baseball cards. He wants to make at least $15.00 by selling some of them for $1.75 per card. Which inequality best represents this goal?

Possible Answers:

\displaystyle \$1.75c> \$15.00

\displaystyle \$1.75c\leq \$15.00

\displaystyle \$1.75c= \$15.00

\displaystyle \$1.75c\geq \$15.00

\displaystyle \$1.75c< \$15.00

Correct answer:

\displaystyle \$1.75c\geq \$15.00

Explanation:

To set up the inequality that represents Jimmy's situation, first identify what is given in the word problem and then translate it into mathematical terms.

"Jimmy has a collection of baseball cards. He wants to make at least $15.00 by selling some of them for $1.75 per card."

Let,

\displaystyle \\c=\#\text{of baseball cards} \\t=\text{total profit}

Since Jimmy wants to make "at least" $15.00, that means the inequality will have a greater-than or equal-to sign.

\displaystyle \\\text{baseball card selling price}=\$1.75 \\\text{total profit}\geq\$15.00

From here, set up the general inequality and substitute the known values.

\displaystyle \\ \$1.75c\geq t \\\$1.75c\geq \$15.00

Example Question #1 : Creating Equations✭

Jimmy has a collection of baseball cards. He wants to make at most $50.00 by selling some of them for $3.00 per card. Which inequality best represents this goal?

Possible Answers:

\displaystyle \$3.00c\geq\$50.00

\displaystyle \$3.00c>\$50.00

\displaystyle \$3.00c=\$50.00

\displaystyle \$3.00c< \$50.00

\displaystyle \$3.00c\leq\$50.00

Correct answer:

\displaystyle \$3.00c\leq\$50.00

Explanation:

To set up the inequality that represents Jimmy's situation, first identify what is given in the word problem and then translate it into mathematical terms.

"Jimmy has a collection of baseball cards. He wants to make at most $50.00 by selling some of them for $3.00 per card."

Let,

\displaystyle \\c=\#\text{of baseball cards} \\t=\text{total profit}

Since Jimmy wants to make "at most" $50.00, that means the inequality will have a less-than or equal-to sign.

\displaystyle \\\text{baseball card selling price}=\$3.00 \\\text{total profit}\leq\$50.00

From here, set up the general inequality and substitute the known values.

\displaystyle \\ \$3.00c\leq t \\\$3.00c\leq \$50.00

Example Question #3 : One Variable Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.1

Jimmy has a collection of baseball cards. He wants to make at most $20.00 by selling some of them for $4.00 per card. Which inequality best represents this goal?

Possible Answers:

\displaystyle \$4.00c\leq\$20.00

\displaystyle \$4.00c< \$20.00

\displaystyle \$4.00c=\$20.00

\displaystyle \$4.00c\geq\$20.00

\displaystyle \$4.00c>\$20.00

Correct answer:

\displaystyle \$4.00c\leq\$20.00

Explanation:

To set up the inequality that represents Jimmy's situation, first identify what is given in the word problem and then translate it into mathematical terms.

"Jimmy has a collection of baseball cards. He wants to make at most $20.00 by selling some of them for $4.00 per card."

Let,

\displaystyle \\c=\#\text{of baseball cards} \\t=\text{total profit}

Since Jimmy wants to make "at most" $20.00, that means the inequality will have a less-than or equal-to sign.

\displaystyle \\\text{baseball card selling price}=\$4.00 \\\text{total profit}\leq\$20.00

From here, set up the general inequality and substitute the known values.

\displaystyle \\ \$4.00c\leq t \\\$4.00c\leq \$20.00

Example Question #3 : One Variable Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.1

Jimmy has a collection of baseball cards. He wants to make at most $75.00 by selling some of them for $5.00 per card. Which inequality best represents this goal?

Possible Answers:

\displaystyle \$5.00c>\$75.00

\displaystyle \$5.00c=\$75.00

\displaystyle \$5.00c\geq \$75.00

\displaystyle \$5.00c< \$75.00

\displaystyle \$5.00c\leq \$75.00

Correct answer:

\displaystyle \$5.00c\leq \$75.00

Explanation:

To set up the inequality that represents Jimmy's situation, first identify what is given in the word problem and then translate it into mathematical terms.

"Jimmy has a collection of baseball cards. He wants to make at most $75.00 by selling some of them for $5.00 per card."

Let,

\displaystyle \\c=\#\text{of baseball cards} \\t=\text{total profit}

Since Jimmy wants to make "at most" $75.00, that means the inequality will have a less-than or equal-to sign.

\displaystyle \\\text{baseball card selling price}=\$5.00 \\\text{total profit}\leq\$75.00

From here, set up the general inequality and substitute the known values.

\displaystyle \\ \$5.00c\leq t \\\$5.00c\leq \$75.00

Example Question #4 : One Variable Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.1

Jimmy has a collection of baseball cards. He wants to make at most $85.00 by selling some of them for $3.00 per card. Which inequality best represents this goal?

Possible Answers:

\displaystyle \\ \$3.00c>\$85.00

\displaystyle \\ \$3.00c< \$85.00

\displaystyle \\ \$3.00c\geq \$85.00

\displaystyle \\ \$3.00c= \$85.00

\displaystyle \\ \$3.00c\leq \$85.00

Correct answer:

\displaystyle \\ \$3.00c\leq \$85.00

Explanation:

To set up the inequality that represents Jimmy's situation, first identify what is given in the word problem and then translate it into mathematical terms.

"Jimmy has a collection of baseball cards. He wants to make at most $85.00 by selling some of them for $3.00 per card."

Let,

\displaystyle \\c=\#\text{of baseball cards} \\t=\text{total profit}

Since Jimmy wants to make "at most" $85.00, that means the inequality will have a greater-than or equal-to sign.

\displaystyle \\\text{baseball card selling price}=\$3.00 \\\text{total profit}\leq\$85.00

From here, set up the general inequality and substitute the known values.

\displaystyle \\ \$3.00c\leq t \\\$3.00c\leq \$85.00

Example Question #11 : Creating Equations✭

Jimmy has a collection of baseball cards. He wants to make at most $15.00 by selling some of them for $0.75 per card. Which inequality best represents this goal?

Possible Answers:

\displaystyle \$0.75c< \$15.00

\displaystyle \$0.75c> \$15.00

\displaystyle \$0.75c\leq \$15.00

\displaystyle \$0.75c= \$15.00

\displaystyle \$0.75c\geq \$15.00

Correct answer:

\displaystyle \$0.75c\leq \$15.00

Explanation:

To set up the inequality that represents Jimmy's situation, first identify what is given in the word problem and then translate it into mathematical terms.

"Jimmy has a collection of baseball cards. He wants to make at most $15.00 by selling some of them for $0.75 per card."

Let,

\displaystyle \\c=\#\text{of baseball cards} \\t=\text{total profit}

Since Jimmy wants to make "at most" $15.00, that means the inequality will have a less-than or equal-to sign.

\displaystyle \\\text{baseball card selling price}=\$0.75 \\\text{total profit}\leq\$15.00

From here, set up the general inequality and substitute the known values.

\displaystyle \\ \$0.75c\leq t \\\$0.75c\leq \$15.00

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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