### All Common Core: High School - Algebra Resources

## Example Questions

### 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?

**Possible Answers:**

**Correct answer:**

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:**

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?

**Possible Answers:**

**Correct answer:**

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:**

"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?

**Possible Answers:**

**Correct answer:**

"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:**

"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?

**Possible Answers:**

**Correct answer:**

"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:**

"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?

**Possible Answers:**

**Correct answer:**

"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:**

"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.