Grade 8 Quarter 1 Test

Multiply. Write each answer in scientific notation.

1. 1
   $(4\times 10^8)\times (1\times 10^4)=$ 
2. 2
   $(6.2\times 10^5)\times (4\times 10^6)=$ 

Divide. Write each answer in scientific notation.

1. 3
   $\frac{1.2\times 10^{14}}{2\times 10^7}=$ 
2. 4
   $\frac{1.66\times 10^3}{2\times 10^6}=$ 

Add or subtract. Write each answer in scientific notation.

1. 5
   $(6.6\times 10^7)-(3.2\times 10^7)=$ 
2. 6
   $(4.11\times 10^6)+(9.8\times 10^4)=$ 

Write each answer in scientific notation.

1. 7
   A website had $7\times 10^7$ visits in May and $3\times 10^7$ visits in June. How many visits did it have in all?

Evaluate. Write fractions in simplest form.

1. 8
   $\sqrt{9}=$ 
2. 9
   $\sqrt{25}=$ 

Solve. Give every solution.

1. 10
   $x^2=36$ 
2. 11
   $x^2=\frac{81}{121}$ 

Fill in the two integers, or round as shown.

1. 12
   $\boxed{}<\sqrt{126}<\boxed{}$
2. 13
   Nearest whole number: $-\sqrt[3]{154}\approx$ 

Write rational or irrational.

1. 14
   $\sqrt{1}$ 
2. 15
   $\pi$ 
3. 16
   $-6$ 

List every set the number belongs to: natural, whole, integer, rational, irrational.

1. 17
   $83.5$
2. 18
   $\frac{13}{3}$

Write each as a fraction or mixed number in simplest form.

1. 19
   $0.1\overline{6}=$ 
2. 20
   $0.8\overline{3}=$ 
3. 21
   $-3.91\overline{6}=$ 

Write > or < in each circle.

1. 22
   $4$$\sqrt{24}$
2. 23
   $3.\overline{6}$$3.66$
3. 24
   $3.17$$3.1\overline{6}$

Write the numbers in the order shown.

1. 25
   Least to greatest: $\pi$; $\sqrt{6}$; $3.\overline{3}$; $\frac{13}{4}$
2. 26
   Greatest to least: $\pi$; $-\sqrt{7}$; $-3.\overline{5}$; $-\sqrt{8}$; $-\sqrt{6}$

Answer each question.

1. 27
   After a $30\%$ discount, a bike costs $\text{\$}139.30$. What was the original price?
2. 28
   A $\text{\$}152.00$ jacket is marked $30\%$ off. Then the store takes another $20\%$ off the sale price. What is the final price?
3. 29
   A dinner bill is $\text{\$}45.00$ before tax. The tax is $8\%$ and the tip is $20\%$, both of the original bill. What is the total?

Find each unit price. Write the better buy.

1. 30
   Which is the better buy for trail mix: $12$ oz for $\text{\$}2.04$ or $21$ oz for $\text{\$}2.10$?