Algebra - 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?

$$5.00c\geq $75.00$

$$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 least $75.00 by selling some of them for $5.00 per card."

Let,

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

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

$\\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.

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

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?

$$3.00c\geq $85.00$

$$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 least $85.00 by selling some of them for $3.00 per card."

Let,

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

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

$\\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.

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

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?

$$3.00c\leq$50.00$

$$3.00c\geq$50.00$

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,

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

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

$\\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.

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

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?

$\ $3.00c\leq $85.00$

$\ $3.00c\geq $85.00$

$\ $3.00c<$85.00$

$\ $3.00c>$85.00$

$\ $3.00c= $85.00$

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,

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

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

$\\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.

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

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?

$$5.00c\leq $75.00$

$$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 most $75.00 by selling some of them for $5.00 per card."

Let,

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

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

$\\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.

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

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?

$$1.75c\geq $15.00$

$$1.75c\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 least $15.00 by selling some of them for $1.75 per card."

Let,

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

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

$\\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.

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

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?

$$0.75c\geq$15.00$

$$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 least $15.00 by selling some of them for $0.75 per card."

Let,

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

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

$\\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.

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

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?

$$0.75c\leq $15.00$

$$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 most $15.00 by selling some of them for $0.75 per card."

Let,

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

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

$\\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.

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

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

$$1.75c\leq $15.00$

$$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 most $15.00 by selling some of them for $1.75 per card."

Let,

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

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

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

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

$\ $1.75c\leq t \$1.75c\leq $15.00$

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?

$$4.00c\leq$20.00$

$$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 most $20.00 by selling some of them for $4.00 per card."

Let,

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

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

$\\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.

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

One Variable Equations and Inequalities: CCSS.Math.Content.HSA-CED.A.1

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