8th Grade Final Review

Simplify the expression below.
x³ • x³ • x³

• x¹²

• x⁹

• x³

• x⁶

The library is located 1.4 miles west of Callie’s house. The grocery store is located 4.8 miles south of the library. What is the length of a straight line between Callie’s house and the grocery store?

Find the volume of the cylinder. Round to the nearest hundredth.

The side lengths of different triangles are given. Which triangle is a right triangle?

• 6, 7, 13
  

• 10, 60, 61

Jennie has 125 more songs downloaded on her mp3 player than Diamond. Together, they have 525 songs downloaded.

Let j represent the number of Jennie’s songs and let d represent the number of Diamond’s songs. Which two equations could be used in a system of equations to determine how many songs each girl has downloaded?

• j = d + 125, j + d = 525

• j = d - 125, j + d = 300
• j = d + 100, j + d = 450
• j = d + 125, j + d = 350

Jennie has 125 more songs downloaded on her mp3 player than Diamond. Together, they have 525 songs downloaded. Using the equations
j = d + 125

j + d = 525

How many songs does each girl have?

• Jennie has 200 songs and Diamond has 75 songs.

• Jennie has 325 songs and Diamond has 200 songs.

• Jennie has 300 songs and Diamond has 100 songs.
• Jennie has 250 songs and Diamond has 275 songs.

Wylie is renting a bicycle from a local shop that charges $3 to rent a helmet, plus an hourly rate of $4.25 for the bike. For how long can Wylie rent a bicycle if he pays a total of $28.50?

Graph the system of equations.
y = 2x
y = –x + 6

• 
• 
• 
• 

Use the graph to solve the system of equations.

• 150
• 250
• 198
• 300