Unit 1 Assessment Review 8th Grade Math

Which point best indicates the location of 

 $\sqrt{50}$  on the number  line below?

• point A

• point B

• point C

• point D

Which of the following is the best estimate of the square root of 75?

• a number between 7 and 8

• a number between 8 and 9

• a number between 9 and 10

• a number between 10 and 11

Simplify:

 $\frac{2^6\cdot3^{-2}\cdot4^{-3}}{2^{-4}\cdot3^3\cdot4^6}$  

•  $\frac{2^2}{3^5\cdot4^9}$  

•  $\frac{2^{10}}{3^5\cdot4^9}$  

•  $\frac{2^2}{3^5\cdot4^3}$  

•  $2^{-24}\cdot3^{-6}\cdot4^{-18}$  

Simplify the following expression.

 $\left(3^3\right)\left(3^1\right)\left(3^0\right)$  

• 9

• 27

• 81

• 0

 $\sqrt{\frac{16}{25}}$  

•  $\frac{4}{25}$  

•  $\frac{4}{5}$  

•  $\frac{64}{225}$  

•  $\frac{16}{5}$  

What is the value of

 $Cube\ root\sqrt{64}$  

•  $8$  

•  $21.\overline{3}$  

•  $4$  

•  $6.4$  

Solve for x.

 $x^2=12$  

•  $x=6,\ -6$  

•  $x=\sqrt{12},-\sqrt{12}$  

•  $x=\sqrt{14}$  

•  $x=6$  

Which expression shows the product of

 $2.1\times10^5$  and  $1.3\ \times10^4$  

•  $2.73\times10^9$  

•  $2.73\times10^{10}$  

•  $2.73\times10^{20}$  

•  $2.73\times10^{21}$  

A country in Europe has a population of  $5.4\ \times\ 10^5$  people. A neighboring country has a population of  $2.6\times10^6$  people. What is the total population of the two countries?

•  $3.14\times10^6$  

•  $8.0\times10^6$  

•  $8.0\times10^{11}$  

•  $3.14\times10^{11}$  

Compute:  $10^2\ -\left(11-4\right)^2\ +2$  

•  $-50$  

•  $-5$  

•  $53$  

•  $121$