Quiz 1-1 and 1-2

Which expression is equivalent to  $\left(8w^7x^{-5}y^3z^{-9}\right)^{-\frac{2}{3}}$  ?

•  $\frac{4w^{\frac{14}{3}}z^6}{x^{\frac{10}{3}}y^2}$  

•  $\frac{2w^{\frac{5}{3}}y^{\frac{1}{3}}}{x^{\frac{7}{3}}z^{\frac{11}{3}}}$  

•  $\frac{x^{\frac{10}{3}}z^6}{4w^{\frac{14}{3}}y^2}$  

•  $\frac{x^{\frac{7}{3}}z^{\frac{11}{3}}}{2w^{\frac{5}{3}}y^{\frac{1}{3}}}$  

Tags

CCSS.HSA.APR.A.1

The length of a rectangular prism is  $4\sqrt{3}$  units. The height is  $3\sqrt{6}$  units. If the volume is irrational, which could be the measure of the width of the rectangulr prism? 

•  $5\sqrt{8}$  

•  $7\sqrt{18}$  

•  $2\sqrt{50}$  

•  $4\sqrt{12}$  

Tags

CCSS.HSN.RN.B.3

Which expression is equivalent to the following image. 

•  $7^{\frac{m}{3}}$  

•  $3^{\frac{m}{7}}$  

•  $m^{\frac{3}{7}}$  

•  $m^{\frac{7}{3}}$  

The length of one side of a square, l, may be found using  $l\ =\ A^{\frac{1}{2}}$  , where A is the area of the square. What is the length of one side of a square that has an area of 484 square kilometers? 

• 11 kilometers 

• 22 kilometers

• 44 kilometers

• 242 kilometers

Tags

CCSS.8.EE.A.2

Which statement about rational and irrational numbers is always true?

• Any irrational number added to any rational number is equal to a rational number.

• Ay irrational number added to any irrational number is equal to a rational number.

• Any irrational number multiplied by any non-zero rational number is equal to a rational number.

• Any irrational number multiplied by any non-zero rational number is equal to an irrational number.

Tags

CCSS.HSN.RN.B.3

Which statement is best represented by  $\left(\frac{A}{B}\right)\left(\frac{C}{D}\right)\ =\ \frac{AC}{BD}$ when A,B,C,D are non-zero integers?  

• The product of two rational numbers is rational

• The product of two irrational numbers is rational

• The product of two rational numbers is irrational 

• The product of two irrational numbers is irrational

Tags

CCSS.HSN.RN.B.3

Given: j and l and nonzero rational numbers.

k and m are irrational numbers.

Which statement is always true?

• The result of j+l is an irrational number because the sum of any two rational numbers is irrational.

• The result of k+m is a rational number because the sum of any two irrational numbers is rational.

• The result of j+l is a rational number because the sum of any two rational numbers is rational.

• The result of k+m is an irrational number because the sum of any two irrational number is irrational.

Tags

CCSS.7.NS.A.1D

A rectangle has side lengths of 3 and  $\sqrt{5}$  inches. Which statement must be true about the area of the rectangle? 

• It is a rational number because the product of the side length is the rational number 15. 

• It is an irrational number because the product of the side lengths is  $3\sqrt{5}$  , an irrational number. 

• It is a rational number because the product of  $\sqrt{5}$  and  $\sqrt{5}$  results in 5, a rational number. 

• It is an irrational number because the product of the side lengths is  $\sqrt{15}$  , in irrational number. 

Tags

CCSS.HSN.RN.B.3

 $\left(2^{\frac{x}{7}}\right)\left(2^{\frac{x}{2}}\right)=\ 2^4$  Solve the given equation:

• x= $\frac{8}{9}$  

• x=1

• x= $\frac{7}{2}$  

• x=-5

 $\left(7^{\frac{1}{2}}\right)\left(x^{\frac{1}{2}}\right)$  =6

• x= $\frac{36}{7}$  

• x=1.71

• x=2.94

• x= $\frac{7}{36}$