How do you find the length of a side of a square if the area is given?

Take the square root of the area.

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.

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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, 3.MD.C.7B, 5.NF.B.6

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is the cube root of 64?

Back

4, because $x^3 = 64$ implies $x = 4$ .

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

What is $\frac{1}{2}$ of $\frac{1}{4}$ ?

Back

$\frac{1}{8}$ .

Tags

CCSS.5.NF.B.6

FLASHCARD QUESTION

Front

What is the square root of 64?

Back

8, because $\text{If } x^2 = 64, \text{ then } x = 8$ .

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

How do you solve the equation $x^2 = 100$ ?

Back

Take $\text{the square root of } 100$ , which gives $x = 10$ and $x = -10$ .

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

What is the area of a square with side length 9 cm?

Back

81 cm², because area = side × side.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

FLASHCARD QUESTION

Front

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

Back

6 and -6, because both $6^2 = 36$ and $(-6)^2 = 36$ .

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

What is the formula for the area of a square?

Back

Area = side × side.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

FLASHCARD QUESTION

Front

What is the value of $\text{the square root of } 100$ ?

Back

10.

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

If $x^3 = 27$ , what is the value of x?

Back

3, because $3^3 = 27$ .

Tags

CCSS.8.EE.A.2

10.

FLASHCARD QUESTION

Front

What is the value of $\text{the square root of } 81$ ?

Back

Tags

CCSS.8.EE.A.2

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