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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 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Billy makes $\$7$ a week in allowance plus $\$6$ for each lawn that he mows. This week Billy wants to make over $\$25$ . Select the inequality for the number of lawns he needs to mow.

Possible Answers:

$\$25>\$6n+\$7$

$\$25>\$6+\$7n$

$\$25>\$6+\$7$

$\$25<\$6n+\$7$

$\$25n>\$6+\$7$

Correct answer:

$\$25<\$6n+\$7$

Explanation:

We know that Billy needs to make more than $\$25$ between his allowance and the lawns that he mows. This means our inequality should include $\$25<$

Also, since Billy will make $\$6$ per lawn, that means we need to multiply $\$6$ by the number of lawns he needs to mow, :

$\$4n$

So far we have the following:

$\$25<\$6n$

Next, we know that he makes $\$7$ each week, on top of what he makes mowing each law.

This means we need to add the $\$7$ to the $\$6n$

When we put all of these pieces together, we will get the following inequality:

$\$25<\$6n+\$7$

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Example Question #44 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Billy makes $\$6$ a week in allowance plus $\$12$ for each lawn that he mows. This week Billy wants to make over $\$24$ . Select the inequality for the number of lawns he needs to mow.

Possible Answers:

$\$24n<\$12+\$6$

$\$24n>\$12n+\$6$

$\$24<\$12n+\$6$

$\$24>\$12n+\$6$

$\$24<\$12+\$6n$

Correct answer:

$\$24<\$12n+\$6$

Explanation:

We know that Billy needs to make more than $\$24$ between his allowance and the lawns that he mows. This means our inequality should include $\$24<$

Also, since Billy will make $\$12$ per lawn, that means we need to multiply $\$12$ by the number of lawns he needs to mow, :

$\$12n$

So far we have the following:

$\$24<\$12n$

Next, we know that he makes $\$6$ each week, on top of what he makes mowing each law.

This means we need to add the $\$6$ to the $\$12n$

When we put all of these pieces together, we will get the following inequality:

$\$24<\$12n+\$6$

Report an Error

Example Question #631 : Grade 7

Billy makes $\$20$ a week in allowance plus $\$5$ for each lawn that he mows. This week Billy wants to make over $\$50$ . Select the inequality for the number of lawns he needs to mow.

Possible Answers:

$\$50>\$5n+\$20n$

$\$50>\$5n+\$20$

$\$50<\$5+\$20n$

$\$50n>\$5+\$20$

$\$50<\$5n+\$20$

Correct answer:

$\$50<\$5n+\$20$

Explanation:

We know that Billy needs to make more than $\$50$ between his allowance and the lawns that he mows. This means our inequality should include $\$50<$

Also, since Billy will make $\$5$ per lawn, that means we need to multiply $\$5$ by the number of lawns he needs to mow, :

$\$5n$

So far we have the following:

$\$50<\$5n$

Next, we know that he makes $\$20$ each week, on top of what he makes mowing each law.

This means we need to add the $\$20$ to the $\$5n$

When we put all of these pieces together, we will get the following inequality:

$\$50<\$5n+\$20$

Report an Error

Example Question #46 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Billy makes $\$5$ a week in allowance plus $\$4$ for each lawn that he mows. This week Billy wants to make over $\$15$ . Select the inequality for the number of lawns he needs to mow.

Possible Answers:

$\$15>\$4+\$5n$

$\$15n>\$4n+\$5$

$\$15<\$4n+\$5$

$\$15>\$4n+\$5$

$\$15<\$4+\$5$

Correct answer:

$\$15<\$4n+\$5$

Explanation:

We know that Billy needs to make more than $\$15$ between his allowance and the lawns that he mows. This means our inequality should include $\$15<$

Also, since Billy will make $\$4$ per lawn, that means we need to multiply $\$4$ by the number of lawns he needs to mow, :

$\$4n$

So far we have the following:

$\$15<\$4n$

Next, we know that he makes $\$5$ each week, on top of what he makes mowing each law.

This means we need to add the $\$5$ to the $\$4n$

When we put all of these pieces together, we will get the following inequality:

$\$15<\$4n+\$5$

Report an Error

Example Question #632 : Grade 7

The rectangle provided is a scaled drawing of a rectangular yard. Given the scale of $1\textup{:}200$ , what is the actual length of the yard?

Possible Answers:

$200\textup{ in}$

$600\textup{ in}$

$500\textup{ in}$

$400\textup{ in}$

$300\textup{ in}$

Correct answer:

$600\textup{ in}$

Explanation:

This question is asking us to solve for the actual size of the length of the rectangle, therefore, we first need to recall which side is considered to be the length of the rectangle.

In this example, the length of the rectangle is $3\textup{ in}$ . We can set up a proportion to solve for the actual length of the rectangle, .

$\frac{1}{200}=\frac{3}{x}$

Next, we cross multiply and solve for :

x(1)=3(200)

$x=600\textup{ in}$

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Example Question #633 : Grade 7

The rectangle provided is a scaled drawing of a rectangular yard. Given the scale of $1\textup:200$ , what is the actual width of the yard?

Possible Answers:

$1\textup,600\textup{ in}$

$1\textup,400\textup{ in}$

$1\textup,200\textup{ in}$

$1\textup,500\textup{ in}$

$1\textup,300\textup{ in}$

Correct answer:

$1\textup,200\textup{ in}$

Explanation:

This question is asking us to solve for the actual size of the width of the rectangle, therefore, we first need to recall which side is considered to be the width of the rectangle.

In this example, the width of the rectangle is $6\textup{ in}$ . We can set up a proportion to solve for the actual length of the rectangle, .

$\frac{1}{200}=\frac{6}{x}$

Next, we cross multiply and solve for :

x(1)=6(200)

$x=1\textup,200\textup{ in}$

Report an Error

Example Question #3 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

The rectangle provided is a scaled drawing of a rectangular yard. Given the scale of $1\textup:200$ , what is the actual width of the yard?

Possible Answers:

$600\textup{ in}$

$400\textup{ in}$

$700\textup{ in}$

$500\textup{ in}$

$800\textup{ in}$

Correct answer:

$400\textup{ in}$

Explanation:

This question is asking us to solve for the actual size of the width of the rectangle, therefore, we first need to recall which side is considered to be the width of the rectangle.

In this example, the width of the rectangle is $2\textup{ in}$ . We can set up a proportion to solve for the actual length of the rectangle, .

$\frac{1}{200}=\frac{2}{x}$

Next, we cross multiply and solve for :

x(1)=2(200)

$x=400\textup{ in}$

Report an Error

Example Question #4 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

The rectangle provided is a scaled drawing of a rectangular yard. Given the scale of $1\textup:200$ , what is the actual length of the yard?

Possible Answers:

$10\textup,000\textup{ in}$

$1\textup,000\textup{ in}$

$700\textup{ in}$

$500\textup{ in}$

$800\textup{ in}$

Correct answer:

$1\textup,000\textup{ in}$

Explanation:

This question is asking us to solve for the actual size of the length of the rectangle, therefore, we first need to recall which side is considered to be the length of the rectangle.

In this example, the length of the rectangle is $5\textup{ in}$ . We can set up a proportion to solve for the actual length of the rectangle, .

$\frac{1}{200}=\frac{5}{x}$

Next, we cross multiply and solve for :

x(1)=5(200)

$x=1\textup,000\textup{ in}$

Report an Error

Example Question #1 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

The rectangle provided is a scaled drawing of a rectangular yard. Given the scale of $1\textup:200$ , what is the actual width of the yard?

Possible Answers:

$500\textup{ in}$

$600\textup{ in}$

$700\textup{ in}$

$900\textup{ in}$

$800\textup{ in}$

Correct answer:

$600\textup{ in}$

Explanation:

This question is asking us to solve for the actual size of the width of the rectangle, therefore, we first need to recall which side is considered to be the width of the rectangle.

In this example, the width of the rectangle is $2\textup{ in}$ . We can set up a proportion to solve for the actual length of the rectangle, .

$\frac{1}{200}=\frac{3}{x}$

Next, we cross multiply and solve for :

x(1)=3(200)

$x=600\textup{ in}$

Report an Error

Example Question #1 : Geometry

The rectangle provided is a scaled drawing of a rectangular yard. Given the scale of $1\textup:200$ , what is the actual length of the yard?

Possible Answers:

$1\text,300\textup{ in}$

$1\text,100\textup{ in}$

$1\text,200\textup{ in}$

$1\text,400\textup{ in}$

$1\text,000\textup{ in}$

Correct answer:

$1\text,200\textup{ in}$

Explanation:

This question is asking us to solve for the actual size of the length of the rectangle, therefore, we first need to recall which side is considered to be the length of the rectangle.

In this example, the length of the rectangle is $3\textup{ in}$ . We can set up a proportion to solve for the actual length of the rectangle, .

$\frac{1}{200}=\frac{6}{x}$

Next, we cross multiply and solve for :

x(1)=6(200)

$x=1\text,200\textup{ in}$

Report an Error

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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 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Example Question #44 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Example Question #631 : Grade 7

Example Question #46 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Example Question #632 : Grade 7

Example Question #633 : Grade 7

Example Question #3 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

Example Question #4 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

Example Question #1 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

Example Question #1 : Geometry

All Common Core: 7th Grade Math Resources

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