# Common Core: High School - Algebra : One Variable Equations and Inequalities: CCSS.Math.Content.HSA-CED.A.1

## Example Questions

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### Example Question #1 : Creating Equations✭

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

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 $50.00 by selling some of them for$3.00 per card."

Let,

Since Jimmy wants to make "at least" $50.00, that means the inequality will have a greater-than or equal-to sign. From here, set up the general inequality and substitute the known values. ### 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: Correct answer: 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, Since Jimmy wants to make "at least"$20.00, that means the inequality will have a greater-than or equal-to sign.

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

### Example Question #3 : Creating Equations✭

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?

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,

Since Jimmy wants to make "at least" $75.00, that means the inequality will have a greater-than or equal-to sign. From here, set up the general inequality and substitute the known values. ### Example Question #4 : Creating Equations✭ 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: Correct answer: 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, Since Jimmy wants to make "at least"$85.00, that means the inequality will have a greater-than or equal-to sign.

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

### Example Question #2 : Creating Equations✭

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?

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,

Since Jimmy wants to make "at least" $15.00, that means the inequality will have a greater-than or equal-to sign. From here, set up the general inequality and substitute the known values. ### Example Question #3 : 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: Correct answer: 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, Since Jimmy wants to make "at least"$15.00, that means the inequality will have a greater-than or equal-to sign.

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

### Example Question #4 : 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?

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,

Since Jimmy wants to make "at most" $50.00, that means the inequality will have a less-than or equal-to sign. From here, set up the general inequality and substitute the known values. ### Example Question #5 : Creating Equations✭ 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: Correct answer: 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, Since Jimmy wants to make "at most"$20.00, that means the inequality will have a less-than or equal-to sign.

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

### Example Question #9 : Creating Equations✭

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?

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,

Since Jimmy wants to make "at most" $75.00, that means the inequality will have a less-than or equal-to sign. From here, set up the general inequality and substitute the known values. ### Example Question #10 : Creating Equations✭ 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: Correct answer: 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, Since Jimmy wants to make "at most"$85.00, that means the inequality will have a greater-than or equal-to sign.

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

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