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Common Core: 7th Grade Math : Grade 7

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #41 : Expressions & Equations

If a server at a restaurant gets a $15\%$ tip on a bill of $\$25$ , then what will be the amount of the tip?

Possible Answers:

$\$3.00$

$\$3.50$

$\$3.75$

$\$3.25$

$\$3.55$

Correct answer:

$\$3.75$

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 $15\%$ of $\$25$ . 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:

$\frac{\begin{array}[b]{r}25\\ \times\ .15\end{array}}{ \ \ \space 3.75}$

The server's tip will be $\$3.75$

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Example Question #42 : Expressions & Equations

If a server at a restaurant gets a $15\%$ tip on a bill of $\$38$ , then what will be the amount of the tip?

Possible Answers:

$\$5.60$

$\$5.90$

$\$5.70$

$\$5.50$

$\$5.80$

Correct answer:

$\$5.70$

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 $15\%$ of $\$38$ . 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 $\$5.70$

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Example Question #43 : Expressions & Equations

If a server at a restaurant gets a $15\%$ tip on a bill of $\$50$ , then what will be the amount of the tip?

Possible Answers:

$\$7.50$

$\$7.60$

$\$7.70$

$\$7.90$

$\$7.80$

Correct answer:

$\$7.50$

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 $15\%$ of $\$50$ . 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 $\$7.50$

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Example Question #11 : 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 $15\%$ tip on a bill of $\$57$ , then what will be the amount of the tip?

Possible Answers:

$\$8.55$

$\$8.40$

$\$8.50$

$\$8.60$

$\$8.45$

Correct answer:

$\$8.55$

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 $15\%$ of $\$57$ . 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 $\$8.55$

Report an Error

Example Question #12 : 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 $20\%$ tip on a bill of $\$25$ , then what will be the amount of the tip?

Possible Answers:

$\$2.50$

$\$4.50$

$\$5.00$

$\$4.20$

$\$3.25$

Correct answer:

$\$5.00$

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 $20\%$ of $\$25$ . 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:

$\frac{\begin{array}[b]{r}25\\ \times\ .20\end{array}}{ \ \ \space 5.00}$

The server's tip will be $\$5.00$

Report an Error

Example Question #13 : 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 $15\%$ tip on a bill of $\$15$ , then what will be the amount of the tip?

Possible Answers:

$\$3.00$

$\$2.00$

$\$2.25$

$\$2.50$

$\$2.75$

Correct answer:

$\$2.25$

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 $15\%$ of $\$15$ . 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 $\$2.25$

Report an Error

Example Question #17 : 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 $15\%$ tip on a bill of $\$42$ , then what will be the amount of the tip?

Possible Answers:

$\$4.40$

$\$4.50$

$\$4.30$

$\$4.10$

$\$6.30$

Correct answer:

$\$6.30$

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 $15\%$ of $\$42$ . 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 $\$6.30$

Report an Error

Example Question #13 : Algebra

Let be the temperature expressed in degrees Celsius. Then the equivalent temperature in degrees Fahrenheit can be calculated using the formula:

$F = \frac{9}{5} C + 32$

What is $65^{\circ } C$ expressed in degrees Fahrenheit?

Possible Answers:

$59.4^{\circ } F$

$174.6^{\circ } F$

$85 ^{\circ } F$

$149 ^{\circ } F$

Correct answer:

$149 ^{\circ } F$

Explanation:

$F = \frac{9}{5} C + 32$

$F = \frac{9}{5} \cdot 65 + 32 = 117+32 = 149 ^{\circ } F$

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Example Question #561 : Grade 7

Let be the temperature expressed in degrees Fahrenheit. Then the equivalent temperature in degrees Celsius can be calculated using the formula:

$C = \frac{5}{9} (F-32)$

What is $80^{\circ } F$ expressed in degrees Celsius (to the nearest degree)?

Possible Answers:

$12^{\circ } C$

$112^{\circ } C$

$27^{\circ } C$

$87^{\circ } C$

Correct answer:

$27^{\circ } C$

Explanation:

$C = \frac{5}{9} (F-32)$

$C = \frac{5}{9} (80-32)$

$C = \frac{5}{9} \cdot 48 \approx 26.7$ , which rounds to $27^{\circ } C$

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Example Question #15 : Algebra

On average, 1 in 50 apples that grow in an orchard will not be harvested. Of those, half will rot on the ground. If 500 apples are growing in an orchard, how many will rot on the ground?

Possible Answers:

Correct answer:

Explanation:

If there are 500 apples and 1 in 50 will remain unharvested, then we can find the number of unharvested apples by multiplying.

$500\times \frac{1}{50}=10$

10 apples will remain unharvested. Of those, half will rot on the ground. Multiply to find how many apples rot on the ground.

$10\times\frac{1}{2}=5$

5 apples will rot on the ground.

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All Common Core: 7th Grade Math Resources

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Common Core: 7th Grade Math : Grade 7

Study concepts, example questions & explanations for Common Core: 7th Grade Math

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #41 : Expressions & Equations

Example Question #42 : Expressions & Equations

Example Question #43 : Expressions & Equations

Example Question #11 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

Example Question #12 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

Example Question #13 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

Example Question #17 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

Example Question #13 : Algebra

Example Question #561 : Grade 7

Example Question #15 : Algebra

All Common Core: 7th Grade Math Resources

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