Common Core: 8th Grade Math : Grade 8

Study concepts, example questions & explanations for Common Core: 8th Grade Math

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Example Questions

Example Question #1 : Understand Functions: Ccss.Math.Content.8.F.A.1

Select the table that properly represents a function. 

 

Possible Answers:

Screen shot 2016 03 14 at 9.56.36 am

Screen shot 2016 03 14 at 9.55.39 am

Screen shot 2016 03 14 at 9.56.08 am

Screen shot 2016 03 14 at 9.54.52 am

Correct answer:

Screen shot 2016 03 14 at 9.54.52 am

Explanation:

Each of the tables provided contains sets of ordered pairs. The input column represents the x-variables, and the output column represents the y-variables. We can tell if a set of ordered pairs represents a function when we match x-values to y-values. 

In order for a table to represents a function, there must be one and only one input for every output. This means that our correct answer will have all unique input values:

Screen shot 2016 03 14 at 9.54.52 am

Functions cannot have more than one input value that is the same; thus, the following tables do not represent a function: 

Screen shot 2016 03 14 at 9.55.50 am

Screen shot 2016 03 14 at 9.56.24 am

Screen shot 2016 03 14 at 9.56.49 am

Example Question #11 : Understand Functions: Ccss.Math.Content.8.F.A.1

Select the table that properly represents a function. 

 

Possible Answers:

Screen shot 2016 03 14 at 10.01.30 am

Screen shot 2016 03 14 at 10.00.11 am

Screen shot 2016 03 14 at 10.00.55 am

Screen shot 2016 03 14 at 9.59.55 am

Correct answer:

Screen shot 2016 03 14 at 9.59.55 am

Explanation:

Each of the tables provided contains sets of ordered pairs. The input column represents the x-variables, and the output column represents the y-variables. We can tell if a set of ordered pairs represents a function when we match x-values to y-values. 

In order for a table to represents a function, there must be one and only one input for every output. This means that our correct answer will have all unique input values:

Screen shot 2016 03 14 at 9.59.55 am

Functions cannot have more than one input value that is the same; thus, the following tables do not represent a function: 

Screen shot 2016 03 14 at 10.00.34 am

Screen shot 2016 03 14 at 10.01.10 am

Screen shot 2016 03 14 at 10.02.15 am

Example Question #12 : Understand Functions: Ccss.Math.Content.8.F.A.1

Select the table that properly represents a function. 

 

Possible Answers:

Screen shot 2016 03 14 at 10.08.00 am

Screen shot 2016 03 14 at 10.11.25 am

Screen shot 2016 03 14 at 10.07.20 am

Screen shot 2016 03 14 at 10.07.30 am

Correct answer:

Screen shot 2016 03 14 at 10.07.20 am

Explanation:

Each of the tables provided contains sets of ordered pairs. The input column represents the x-variables, and the output column represents the y-variables. We can tell if a set of ordered pairs represents a function when we match x-values to y-values. 

In order for a table to represents a function, there must be one and only one input for every output. This means that our correct answer will have all unique input values:

Screen shot 2016 03 14 at 10.07.20 am

Functions cannot have more than one input value that is the same; thus, the following tables do not represent a function: 

Screen shot 2016 03 14 at 10.07.43 am

Screen shot 2016 03 14 at 10.08.13 am

Screen shot 2016 03 14 at 10.11.39 am

Example Question #13 : Understand Functions: Ccss.Math.Content.8.F.A.1

Select the table that properly represents a function. 

 

Possible Answers:

Screen shot 2016 03 14 at 10.17.29 am

Screen shot 2016 03 14 at 10.17.07 am

Screen shot 2016 03 14 at 10.18.00 am

Screen shot 2016 03 14 at 10.16.55 am

Correct answer:

Screen shot 2016 03 14 at 10.16.55 am

Explanation:

Each of the tables provided contains sets of ordered pairs. The input column represents the x-variables, and the output column represents the y-variables. We can tell if a set of ordered pairs represents a function when we match x-values to y-values. 

In order for a table to represents a function, there must be one and only one input for every output. This means that our correct answer will have all unique input values:

Screen shot 2016 03 14 at 10.16.55 am

Functions cannot have more than one input value that is the same; thus, the following tables do not represent a function: 

Screen shot 2016 03 14 at 10.17.17 am

Screen shot 2016 03 14 at 10.17.39 am

Screen shot 2016 03 14 at 10.18.12 am

Example Question #14 : Functions

Select the table that properly represents a function. 

 

Possible Answers:

Screen shot 2016 03 14 at 10.00.55 am

Screen shot 2016 03 14 at 10.25.19 am

Screen shot 2016 03 14 at 10.18.00 am

Screen shot 2016 03 14 at 10.08.00 am

Correct answer:

Screen shot 2016 03 14 at 10.25.19 am

Explanation:

Each of the tables provided contains sets of ordered pairs. The input column represents the x-variables, and the output column represents the y-variables. We can tell if a set of ordered pairs represents a function when we match x-values to y-values. 

In order for a table to represents a function, there must be one and only one input for every output. This means that our correct answer will have all unique input values:

Screen shot 2016 03 14 at 10.25.19 am

Functions cannot have more than one input value that is the same; thus, the following tables do not represent a function: 

Screen shot 2016 03 14 at 10.18.12 am

Screen shot 2016 03 14 at 10.08.13 am

Screen shot 2016 03 14 at 10.01.10 am

Example Question #15 : Functions

Select the table that properly represents a function. 

 

Possible Answers:

Screen shot 2016 03 14 at 10.18.00 am

Screen shot 2016 03 14 at 10.01.30 am

Screen shot 2016 03 14 at 10.32.06 am

Screen shot 2016 03 14 at 9.56.36 am

Correct answer:

Screen shot 2016 03 14 at 10.32.06 am

Explanation:

Each of the tables provided contains sets of ordered pairs. The input column represents the x-variables, and the output column represents the y-variables. We can tell if a set of ordered pairs represents a function when we match x-values to y-values. 

In order for a table to represents a function, there must be one and only one input for every output. This means that our correct answer will have all unique input values:

Screen shot 2016 03 14 at 10.32.06 am

Functions cannot have more than one input value that is the same; thus, the following tables do not represent a function: 

Screen shot 2016 03 14 at 10.18.12 am

Screen shot 2016 03 14 at 10.02.15 am

Screen shot 2016 03 14 at 9.56.49 am

Example Question #253 : Grade 8

Select the table that properly represents a function. 

 

Possible Answers:

Screen shot 2016 03 14 at 10.36.09 am

Screen shot 2016 03 14 at 8.52.16 am

Screen shot 2016 03 14 at 9.44.51 am

Screen shot 2016 03 14 at 9.55.39 am

Correct answer:

Screen shot 2016 03 14 at 10.36.09 am

Explanation:

Each of the tables provided contains sets of ordered pairs. The input column represents the x-variables, and the output column represents the y-variables. We can tell if a set of ordered pairs represents a function when we match x-values to y-values. 

In order for a table to represents a function, there must be one and only one input for every output. This means that our correct answer will have all unique input values:

Screen shot 2016 03 14 at 10.36.09 am

Functions cannot have more than one input value that is the same; thus, the following tables do not represent a function: 

Screen shot 2016 03 14 at 8.52.56 am

Screen shot 2016 03 14 at 9.45.07 am

Screen shot 2016 03 14 at 9.55.50 am

 

 

Example Question #17 : Functions

Select the table that properly represents a function. 

 

Possible Answers:

Screen shot 2016 03 14 at 10.08.00 am

Screen shot 2016 03 14 at 10.39.00 am

Screen shot 2016 03 14 at 9.56.08 am

Screen shot 2016 03 14 at 10.07.30 am

Correct answer:

Screen shot 2016 03 14 at 10.39.00 am

Explanation:

Each of the tables provided contains sets of ordered pairs. The input column represents the x-variables, and the output column represents the y-variables. We can tell if a set of ordered pairs represents a function when we match x-values to y-values. 

In order for a table to represents a function, there must be one and only one input for every output. This means that our correct answer will have all unique input values:

Screen shot 2016 03 14 at 10.39.00 am

Functions cannot have more than one input value that is the same; thus, the following tables do not represent a function: 

Screen shot 2016 03 14 at 10.08.13 am


Screen shot 2016 03 14 at 10.07.43 am

Screen shot 2016 03 14 at 9.56.24 am

Example Question #254 : Grade 8

Select the table that properly represents a function. 

 

Possible Answers:

Screen shot 2016 03 14 at 10.11.25 am

Screen shot 2016 03 14 at 10.42.22 am

Screen shot 2016 03 14 at 10.17.07 am

Screen shot 2016 03 14 at 10.07.30 am

Correct answer:

Screen shot 2016 03 14 at 10.42.22 am

Explanation:

Each of the tables provided contains sets of ordered pairs. The input column represents the x-variables, and the output column represents the y-variables. We can tell if a set of ordered pairs represents a function when we match x-values to y-values. 

In order for a table to represents a function, there must be one and only one input for every output. This means that our correct answer will have all unique input values:

Screen shot 2016 03 14 at 10.42.22 am

Functions cannot have more than one input value that is the same; thus, the following tables do not represent a function: 

Screen shot 2016 03 14 at 10.17.17 am

Screen shot 2016 03 14 at 10.11.39 am

 

Screen shot 2016 03 14 at 10.07.43 am

Example Question #19 : Functions

Select the table that properly represents a function. 

 

Possible Answers:

Screen shot 2016 03 14 at 9.45.26 am

Screen shot 2016 03 14 at 10.07.30 am

Screen shot 2016 03 14 at 10.17.07 am

Screen shot 2016 03 14 at 10.48.19 am

Correct answer:

Screen shot 2016 03 14 at 10.48.19 am

Explanation:

Each of the tables provided contains sets of ordered pairs. The input column represents the x-variables, and the output column represents the y-variables. We can tell if a set of ordered pairs represents a function when we match x-values to y-values. 

In order for a table to represents a function, there must be one and only one input for every output. This means that our correct answer will have all unique input values:

Screen shot 2016 03 14 at 10.48.19 am

Functions cannot have more than one input value that is the same; thus, the following tables do not represent a function: 

Screen shot 2016 03 14 at 10.17.17 am

Screen shot 2016 03 14 at 10.07.43 am

Screen shot 2016 03 14 at 9.45.40 am

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