What is a cube number?

A cube number is an integer that is the cube of an integer.

What does it mean to solve an equation?

To solve an equation means to find the value(s) of the variable that make the equation true.

What is the principle of squaring both sides of an equation?

Squaring both sides of an equation maintains equality, but it can introduce extraneous solutions.

What is the relationship between squares and square roots?

The square root of a number is a value that, when multiplied by itself, gives the original number.

What is the relationship between cubes and cube roots?

The cube root of a number is a value that, when multiplied by itself three times, gives the original number.

How do you isolate a variable in an equation?

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone.

What is an extraneous solution?

An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.

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Math

Algebra

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Solving Equations With Squares And Cubes

Solving Equations with Squares and Cubes

Flashcard

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.A.2, HSA.REI.A.2, 6.EE.A.1

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is the solution to the equation $x^2 = 36$ ?

Back

The solutions are $6$ and $-6$ .

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

Solve for x: $2x^2 = 200$ .

Back

The solutions are $\text{±}10$ .

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

What is the solution to the equation $x^3 - 9 = 18$ ?

Back

The solution is $3$ .

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

Solve for x: $x^3 = -125$ .

Back

The solution is $-5$ .

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

If the area of a square picture frame is 169 cm², what is the side length?

Back

The side length is 13 cm.

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

Define a square number.

Back

A square number is an integer that is the square of an integer.

Tags

CCSS.6.EE.A.1

FLASHCARD QUESTION

Front

What is the formula for the area of a square?

Back

The area of a square is given by $A = s^2$ , where $s$ is the length of a side.

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

What is the formula for the volume of a cube?

Back

The volume of a cube is given by $V = s^3$ , where $s$ is the length of a side.

Tags

CCSS.8.EE.A.2

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