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Unit 1 Assessment Review 8th Grade Math

Total questions: 10

Worksheet time: 38mins

Name
Class
Date
1.

Which point best indicates the location of 

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

a)

point A

b)

point B

c)

point C

d)

point D

2.

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

a)

a number between 7 and 8

b)

a number between 8 and 9

c)

a number between 9 and 10

d)

a number between 10 and 11

3.

Simplify:

 263243243346\frac{2^6\cdot3^{-2}\cdot4^{-3}}{2^{-4}\cdot3^3\cdot4^6}  

a)

 223549\frac{2^2}{3^5\cdot4^9}  

b)

 2103549\frac{2^{10}}{3^5\cdot4^9}  

c)

 223543\frac{2^2}{3^5\cdot4^3}  

d)

 224364182^{-24}\cdot3^{-6}\cdot4^{-18}  

4.

Simplify the following expression.

 (33)(31)(30)\left(3^3\right)\left(3^1\right)\left(3^0\right)  

a)

9

b)

27

c)

81

d)

0

5.

 1625\sqrt{\frac{16}{25}}  

a)

 425\frac{4}{25}  

b)

 45\frac{4}{5}  

c)

 64225\frac{64}{225}  

d)

 165\frac{16}{5}  

6.

What is the value of

 Cube root64Cube\ root\sqrt{64}  

a)

 88  

b)

 21.321.\overline{3}  

c)

 44  

d)

 6.46.4  

7.

Solve for x.

 x2=12x^2=12  

a)

 x=6, 6x=6,\ -6  

b)

 x=12,12x=\sqrt{12},-\sqrt{12}  

c)

 x=14x=\sqrt{14}  

d)

 x=6x=6  

8.

Which expression shows the product of

 2.1×1052.1\times10^5  and  1.3 ×1041.3\ \times10^4  

a)

 2.73×1092.73\times10^9  

b)

 2.73×10102.73\times10^{10}  

c)

 2.73×10202.73\times10^{20}  

d)

 2.73×10212.73\times10^{21}  

9.

A country in Europe has a population of  5.4 × 1055.4\ \times\ 10^5  people. A neighboring country has a population of  2.6×1062.6\times10^6  people. What is the total population of the two countries?

a)

 3.14×1063.14\times10^6  

b)

 8.0×1068.0\times10^6  

c)

 8.0×10118.0\times10^{11}  

d)

 3.14×10113.14\times10^{11}  

10.

Compute:  102 (114)2 +210^2\ -\left(11-4\right)^2\ +2  


a)

 50-50  

b)

 5-5  

c)

 5353  

d)

 121121