7th Grade Math - Solve Multi-Step Problems with Positive and Negative Rational Numbers: CCSS.Math.Content.7.EE.B.3

If a server at a restaurant gets a tip on a bill of , then what will be the amount of the tip?

Explanation

The first step to solving this problem is determining what operation we are going to use.

Think:we know that the tip is going to be of . The keyword "of" gives us a clue and indicates that we are going to multiply.

As we have learned in previous lessons, we need to convert our percentage into a decimal before we are able to multiply:

$20%\rightarrow0.20$

Next, we can perform the multiplication operation and find the tip:

$\frac{\begin{array}[b]{r}35\ \times\ .20\end{array}}{ \ \ \space 7.00}$

The server's tip will be

If a server at a restaurant gets a tip on a bill of , then what will be the amount of the tip?

Explanation

The first step to solving this problem is determining what operation we are going to use.

Think:we know that the tip is going to be of . The keyword "of" gives us a clue and indicates that we are going to multiply.

As we have learned in previous lessons, we need to convert our percentage into a decimal before we are able to multiply:

$20%\rightarrow0.20$

Next, we can perform the multiplication operation and find the tip:

$\frac{\begin{array}[b]{r}33\ \times\ .20\end{array}}{ \ \ \space 6.60}$

The server's tip will be

If a server at a restaurant gets a tip on a bill of , then what will be the amount of the tip?

Explanation

The first step to solving this problem is determining what operation we are going to use.

We know that the tip is going to be of . The keyword "of" gives us a clue and indicates that we are going to multiply.

As we have learned in previous lessons, we need to convert our percentage into a decimal before we are able to multiply:

$15%\rightarrow0.15$

Next, we can perform the multiplication operation and find the tip:

$\frac{\begin{array}[b]{r}15\ \times\ .15\end{array}}{ \ \ \space 2.25}$

The server's tip will be

If a server at a restaurant gets a tip on a bill of , then what will be the amount of the tip?

Explanation

The first step to solving this problem is determining what operation we are going to use.

Think:we know that the tip is going to be of . The keyword "of" gives us a clue and indicates that we are going to multiply.

As we have learned in previous lessons, we need to convert our percentage into a decimal before we are able to multiply:

$15%\rightarrow0.15$

Next, we can perform the multiplication operation and find the tip:

$\frac{\begin{array}[b]{r}42\ \times\ .15\end{array}}{ \ \ \space6.30}$

The server's tip will be

If a server at a restaurant gets a tip on a bill of , then what will be the amount of the tip?

Explanation

The first step to solving this problem is determining what operation we are going to use.

Think:we know that the tip is going to be of . The keyword "of" gives us a clue and indicates that we are going to multiply.

As we have learned in previous lessons, we need to convert our percentage into a decimal before we are able to multiply:

$15%\rightarrow0.15$

Next, we can perform the multiplication operation and find the tip:

$\frac{\begin{array}[b]{r}38\ \times\ .15\end{array}}{ \ \ \space 5.70}$

The server's tip will be

Define an operation $\bigstar$ on the set of real numbers as follows:

$a \bigstar b = \frac{ab}{a+b}$

$a \bigstar 1= -1$ . What is the value of ?

No real value of makes this true.

Explanation

$a \bigstar b = \frac{ab}{a+b}$ , so

$a \bigstar 1 = \frac{a \cdot 1 }{a+1} = \frac{a }{a+1}$

Set this equal to :

$\frac{a }{a+1} = -1$

$\frac{a }{a+1} \cdot (a+1) = -1 \cdot (a+1)$

$2a \div 2= - 1 \div 2$

Define an operation $\bigstar$ on the set of real numbers as follows:

$a \bigstar b = a^{2}+ b$

If $6 \bigstar b = 100$ , then what is ?

$\sqrt{94}$

$\sqrt{106}$

Explanation

$a \bigstar b = a^{2}+ b$ ,

$6 \bigstar b = 6 ^{2} + b = 36 + b$ .

$6 \bigstar b = 100$

then

Define an operation $\bigstar$ on the set of real numbers as follows:

$a \bigstar b = \frac{a+b}{ab}$ .

$a \bigstar (-1) = 1$ . What is the value of ?

$a = \frac{1}{2}$

$a = - \frac{1}{2}$

Explanation

$a \bigstar b = \frac{a+b}{ab}$

and

$a \bigstar (-1) = 1$

$\frac{a+(-1)}{a(-1)}=1$

$\frac{a-1}{-a} = 1$

$\frac{a-1}{-a} \cdot (-a) = 1 \cdot (-a)$

$2a \div 2 = 1 \div 2$

$a = \frac{1}{2}$

If a server at a restaurant gets a tip on a bill of , then what will be the amount of the tip?

Explanation

The first step to solving this problem is determining what operation we are going to use.

Think:we know that the tip is going to be of . The keyword "of" gives us a clue and indicates that we are going to multiply.

As we have learned in previous lessons, we need to convert our percentage into a decimal before we are able to multiply:

$15%\rightarrow0.15$

Next, we can perform the multiplication operation and find the tip:

$\frac{\begin{array}[b]{r}57\ \times\ .15\end{array}}{ \ \ \space 8.55}$

The server's tip will be

If a server at a restaurant gets a tip on a bill of , then what will be the amount of the tip?

Explanation

The first step to solving this problem is determining what operation we are going to use.

Think:we know that the tip is going to be of . The keyword "of" gives us a clue and indicates that we are going to multiply.

As we have learned in previous lessons, we need to convert our percentage into a decimal before we are able to multiply:

$15%\rightarrow0.15$

Next, we can perform the multiplication operation and find the tip:

$\frac{\begin{array}[b]{r}50\ \times\ .15\end{array}}{ \ \ \space 7.50}$

The server's tip will be

Solve Multi-Step Problems with Positive and Negative Rational Numbers: CCSS.Math.Content.7.EE.B.3

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