Unit 5 Review

Solve the system of equations using elimination.
8x + 3y = -9
-8x + y = 29

• (3,5)

• Infinite Solutions
  

• (-5,3)

• (-3,5)

Solve the systems using substitution

 $y=\frac{3}{5}x+5$ 

  $\frac{1}{2}x+y=-6$  

• (-10,-1)

• (-1,-10)

• No Solution

• (10,1)

Solve the systems using any method.

 $6x\ -4y=9$ 

  $9x-6y=15$  

• (-3,6)

• (0,-3)

• No Solution

• (2,1)

Solve the systems using any method.

 $y=5x-7$ 

  $-4x+y=-1$  

• (23,6)

• Infinite Solutions
  

• (6,23)
  

• (-6,23)

Graph the inequalities.

 $y>\frac{1}{2}x+4$  

 $2y\le x+4$  

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Graph the inequalities.
 $y\ge-\frac{2}{3}x+1$  
 $-3x+y>-2$  

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You spend $20 total on tubes of paint and disposable brushes for an art project. Tubes of paint cost $4.00 each and paintbrushes cost $0.50 each. You purchase twice as many brushes as tubes of paint. How many brushes and tubes of paint do you purchase?

• 8 brushes and 3 tubes of paint

• 8 brushes and 4 tubes of paint

• 6 brushes and 3 tubes of paint

• 7 brushes and 2 tubes of paint

It takes you 3 hours to drive to a concert 135 miles away. You drive 55 miles per hour on highways and 40 miles per hour on the rest of the roads. How much time do you spend driving at each speed?

• 1.5 hour at 55mph and 1.5 hours at 40mph

• 2 hour at 55mph and 1 hours at 40mph

• 3 hour at 55mph and 0 hours at 40mph

• 1 hour at 55mph and 2 hours at 40mph

Use the slope to determine if the systems have one, no or infinite solutions.
 $y=2x-4$  

 $y+\frac{1}{2}x=3$  

• One solution

• No Solution

• Infinite Solution

Use the slope to determine if the systems have one, no or infinite solutions.
 $-3x+2y=1$  
 $2y+14=3x$  

• One Solution

• No Solution

• Infinite Solutions