Common Core: 7th Grade Math : Grade 7

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

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Example Questions

Example Question #36 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Solve for :


7

Possible Answers:

Correct answer:

Explanation:

A pair of intersecting angles is illustrated by the provided image. 

 and  are vertical angles because they share the same vertex, or corner spot. Vertical angles are always equal; thus, 

Example Question #37 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Solve for :


8

Possible Answers:

Correct answer:

Explanation:

A pair of intersecting angles is illustrated by the provided image. 

 and  are vertical angles because they share the same vertex, or corner spot. Vertical angles are always equal; thus, 

Example Question #38 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Solve for :


9

Possible Answers:

Correct answer:

Explanation:

A pair of intersecting angles is illustrated by the provided image. 

 and  are vertical angles because they share the same vertex, or corner spot. Vertical angles are always equal; thus, 

Example Question #61 : Geometry

Solve for :


10

Possible Answers:

Correct answer:

Explanation:

A pair of intersecting angles is illustrated by the provided image. 

 and  are vertical angles because they share the same vertex, or corner spot. Vertical angles are always equal; thus, 

Example Question #71 : Geometry

Solve for :


11

Possible Answers:

Correct answer:

Explanation:

A pair of intersecting angles is illustrated by the provided image. 

 and  are vertical angles because they share the same vertex, or corner spot. Vertical angles are always equal; thus, 

Example Question #72 : Geometry

Solve for :


12

Possible Answers:

Correct answer:

Explanation:

A pair of intersecting angles is illustrated by the provided image. 

 and  are vertical angles because they share the same vertex, or corner spot. Vertical angles are always equal; thus, 

Example Question #73 : Geometry

Calculate the area of the provided figure.


1

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the area formula for a triangle:

Now that we have the correct formula, we can substitute in our known values and solve: 

Example Question #701 : Grade 7

A cable company wanted to find out what brand of TVs their customers use. Select the option that best represents a population. 

Possible Answers:

The entire population in Florida

A random sample of the cable company's customers 

The entire population in the United States

All of the cable company's customers 

Correct answer:

All of the cable company's customers 

Explanation:

In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied, in this case all of the customers of the cable company.

"The entire population in the United States" and "The entire population in Florida" are not the correct answer because not everyone in an entire population uses the same cable company, and this company is only concerned about their own customers. Also, a random sample does not represent a population, so that is not the correct answer. 

Example Question #2 : Understand That Statistics Can Be Used To Gain Information: Ccss.Math.Content.7.Sp.A.1

A cell phone company wanted to find out what brand of phones their customers use. Select the option that best represents a population. 

 

Possible Answers:

All of the cell phone company's customers 

The entire population in Texas

A random sample of the cell phone company's customers 

The entire population in the United States

Correct answer:

All of the cell phone company's customers 

Explanation:

In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied, in this case all of the customers of the cell phone company.

"The entire population in the United States" and "The entire population in Texas" are not the correct answer because not everyone in an entire population uses the same cell phone company, and this company is only concerned about their own customers. Also, a random sample does not represent a population, so that is not the correct answer. 

Example Question #3 : Statistics & Probability

A chip company wants to see if the people in Ohio like their new flavor of chips. Select the option that best represents a population.

Possible Answers:

Every person in Ohio

Children in Ohio

Adults in Ohio

Every person in the United States

Correct answer:

Every person in Ohio

Explanation:

In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied. In this case, people of Ohio. 

Because the chip company is only concerned about what the people in Ohio thinks of their new chip flavor, we can eliminate the option for everyone in the United States, because we are focused on only one state. Also, a population includes both adults and children, which is why "Every person in Ohio" is the best answer choice. 

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