8th Grade Review #2

Determine if the following equations have no solution, one solution, or infinitely many solutions. 
15+12x=15+11x

• One Solution
• No Solution
• Infinitely Many Solutions
• Pizza

Ms. Merritello is building a rectangular sandbox for her nephew.  The length of the sandbox is one foot longer than twice the width of the sandbox. The perimeter of the sandbox is 32 feet. 
Which equation can be used to determine w the width in feet of the sandbox? 

• w+w+2=32
• w+2w+1=32
• 2w+2(w+2)=32
• 2w+2(2w+1)=32 

Duncan Keith is building a fence around a small ice rink that he has in his backyard.  
 ·  Fencing costs $20 per yard.
·  The length of the ice rink will be 4 more yards than the width.
·  Duncan wants to have a total cost of $1,200. 
Let w represent the width, in yards, of the rectangular region. Which equation can be used to find the value of w? 

• 20(w + 4) = 1200     
• 20(4w + 4) = 1200
• 20(2w + 8) =1200 
• 20(4w + 8) = 1200

A system of equation is shown below. Which statement about the ordered pair (-6,8) is true? 
5x + 3y = -6
2x - y = -4

• It is the only solution to the system.
• It is not a solution to either equation.
• It is one of many solutions to the system.
• It is a solution to the first but not the second equation

The graph of a system of equations in shown on the coordinate grid. What is the value of y in the solution to this system of equations? 

• 3
• -2
• 1
• 5

Consider the system of equations. Which statements are true about the system of equations?
y = 6x + 2 
y = 2x + 2

• A.  The graph of the system consists of lines that have no points of intersection. 
• The graph of the system consists of lines that have exactly one point of intersection. 
• A.  The graph of the system consists of lines that have more than one point of intersection.

Consider the system of equations. Which statements are true about the system of equations?
y = 6x + 2 
y = 2x + 2

• The system has no solution. 
• A.  The system has exactly one solution. 
• A.  The system has more than one solution. 

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

Tags

CCSS.8.EE.C.8A

Solve:
2x + 1 = 2x - 1

• No Solution
• x = 0
• Infinitely Many Solutions

Find the length of the missing side. 

• 25 cm
• 42 cm
• 52 cm
• 48 cm

Tags

CCSS.8.G.B.7