8th Grade PSSA Practice Test (2020 - No Geo, Stat, Real Num)

NO CALCULATOR

Which expression is equivalent to  $\left(4^4\right)^2\cdot\left(4^7\right)^{-2}$  ?

•  $\frac{1}{4^6}$  

•  $\frac{1}{4^3}$  

•  $4^{11}$  

•  $4^{30}$  

NO CALCULATOR
Simplify:  $7^{-8}\cdot7^{-4}$  

•  $\frac{1}{7^{12}}$  

•  $\frac{1}{7^4}$  

•  $7^{12}$  

•  $7^{32}$  

NO CALCULATOR

In the expression below, c is an integer.
 $9^c\cdot9^{-c}$  
Which value is equivalent to the expression?

• 0

• 1

•  $\frac{1}{9^{2c}}$  

• 9

NO CALCULATOR

The volume of Jupiter is approximately  $10^{14}$   cubic kilometers. The volume of Earth is approximately  $10^{11}$   cubic kilometers. How many planets the size of Earth does it take to equal the volume of Jupiter?

•  $10^{-3}$  

•  $10^3$  

•  $10^{25}$  

•  $10^{154}$  

The average distances between some objects in our solar system are described below.
• The average distance from Earth to the Moon is  $3.844\cdot10^5$    kilometers (km).
• The average distance from Jupiter to the Sun is approximately  $2\cdot10^3$   times the average distance from Earth to the Moon.
Based on this information, what is the average distance from Jupiter to the Sun?

•  $7.688\cdot10^{2\ }km$  

•  $7.688\cdot10^{5\ }km$  

•  $7.688\cdot10^{8\ }km$  

•  $7.688\cdot10^{15\ }km$  

The Blue Ridge Mountains are rising at a rate of  $1\cdot10^{-4}$  feet per year. To determine how many feet the mountains will rise over the next  $1\cdot10^6$   years, a scientist performs the operation shown below. 

 $\left(1\cdot10^{-4}\right)\cdot\left(1\cdot10^6\right)$  

How many feet will the Blue Ridge Mountains rise over the next 1 × 106 years?

• 0.001

• 0.01

• 10

• 100

Which equation shows how to find the product of 1,000,000 and 1,000,000 using scientific notation?

• $1,000,000\cdot1,000,000=\left(1\cdot10^6\right)\cdot\left(1\cdot10^6\right)=1\cdot10^{\left(6+6\right)}=1\cdot10^{12}$

• $1,000,000\cdot1,000,000=\left(1\cdot10^6\right)\cdot\left(1\cdot10^6\right)=1\cdot10^{\left(6\cdot6\right)}=1\cdot10^{36}$

• $1,000,000\cdot1,000,000=\left(1\cdot10^7\right)\cdot\left(1\cdot10^7\right)=1\cdot10^{\left(7+7\right)}=1\cdot10^{14}$

• $1,000,000\cdot1,000,000=\left(1\cdot10^7\right)\cdot\left(1\cdot10^7\right)=1\cdot10^{\left(7\cdot7\right)}=1\cdot10^{49}$

Luisa is solving an equation on the bottom of a page. The corner of the page where the equation is written is torn off as shown.

Luisa knows only one number was torn off, and she knows that the equation has an infinite number of solutions. What must be the missing number?

• 2

• 14

• 21

• 35

Fran buys used DVDs. She pays $2.75 for each DVD she buys. She graphs a line to show the total amount (y), in dollars, she pays to buy x used DVDs. Which equation correctly describes Fran’s line?

• y = 2.75

• y = 2.75x

• y = x + 2.75

• y = 2.75x + 2.75

Ben currently has $70 in his trip fund. He makes $45 per week doing yard work for his neighbors. He keeps $18 of the $45 for weekly expenses. The remaining amount goes into his trip fund. Which function can be used to determine the amount of money (y), in dollars, that Ben has in his trip fund at the end of x weeks?

• y = 70 + 27x

• y = 52 + 45x

• y = 45 + 52x

• y = 27 + 70x