Common Core: 6th Grade Math : Grade 6

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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Example Questions

Example Question #111 : Solve Problems By Graphing Points In Quadrants Of A Coordinate Plane: Ccss.Math.Content.6.Ns.C.8

Nicole decided to run from her house to her friend Cassie's house. If we were to draw Nicole's house and Cassie's house on a coordinate plane, Nicole lives at point  and Cassie lives at point . Create a coordinate plane to help determine the distance, in units, that Nicole runs.

Possible Answers:

Correct answer:

Explanation:

From our question we know that Nicole lives at point  and Cassie lives at point . We want to draw a coordinate plane and plot both of these points. Your coordinate plane should look something like the following:

Plot 5
Now that we have these points graphed, we can count the units between them. Now that we have these points graphed, we can count the units between them. Nicole ran {mathcode} units to Cassie's house.

Example Question #112 : Solve Problems By Graphing Points In Quadrants Of A Coordinate Plane: Ccss.Math.Content.6.Ns.C.8

Jenny decided to run from her house to her friend Miranda's house. If we were to draw Jenny's house and Miranda's house on a coordinate plane, Jenny lives at point  and Miranda lives at point . Create a coordinate plane to help determine the distance, in units, that Jenny runs.

Possible Answers:

Correct answer:

Explanation:

From our question we know that Jenny lives at point  and Miranda lives at point . We want to draw a coordinate plane and plot both of these points. Your coordinate plane should look something like the following:

Plot 7
Now that we have these points graphed, we can count the units between them. Now that we have these points graphed, we can count the units between them. Jenny ran {mathcode} units to Miranda's house.

Example Question #113 : Solve Problems By Graphing Points In Quadrants Of A Coordinate Plane: Ccss.Math.Content.6.Ns.C.8

Shelly decided to run from her house to her friend Linda's house. If we were to draw Shelly's house and Linda's house on a coordinate plane, Shelly lives at point  and Linda lives at point . Create a coordinate plane to help determine the distance, in units, that Shelly runs.

Possible Answers:

Correct answer:

Explanation:

From our question we know that Shelly lives at point  and Linda lives at point . We want to draw a coordinate plane and plot both of these points. Your coordinate plane should look something like the following:

Plot 11
Now that we have these points graphed, we can count the units between them. Now that we have these points graphed, we can count the units between them. Shelly ran {mathcode} units to Linda's house.

Example Question #1 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Possible Answers:

Correct answer:

Explanation:

Multiply: 

Answer:

Example Question #84 : Equations

Possible Answers:

Correct answer:

Explanation:

Multiply:

Answer:

Example Question #2 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Possible Answers:

Correct answer:

Explanation:

Multiply:

Answer:

Example Question #1 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Simplify:

Possible Answers:

Correct answer:

Explanation:

When adding exponents, we first need to factor common terms.

Let's start by factoring out the following:

Factor.

Example Question #2 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Expand:

Possible Answers:

Correct answer:

Explanation:

When a number is raised by an exponent, the base value is multiplied by itself the number of times that the exponential value indicates.

Example Question #3 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

Expand:

Possible Answers:

Correct answer:

Explanation:

When a number is raised by an exponent, the base value is multiplied by itself the number of times that the exponential value indicates.

Example Question #1 : Expressions & Equations

Evaluate:

Possible Answers:

Correct answer:

Explanation:

When a number is raised by an exponent, the base value is multiplied by itself the number of times that the exponential value indicates.

 is expanded to .

The product is .

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