Topic 3 Systems of Equations and Inequalities Skills Practice

Find the solution to the system using substitution. 
4x – 3y = 5
y = 2x – 3 

• (2,1)
• (1,2)
• (2,2)
• the answer is not listed

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

If I have 18 dimes and quarters that are worth $2.25, which system would represent this? 

• d + q = 2.25
  .10d + .25q = 18
  
• d + q = 18
  .10d + .25q = 2.25
• 18 d = q
  .10d + .25q = 2.25
• d+ q = 18
  .25d + .10q = 2.25

How can I tell if an inequality will have a solid line?

• It has an equal sign.
• The symbol is greater than.
• The symbol has "or equal to."
• You just guess.

If two lines have the same slopes but different y-intercepts, how many solutions will there be when both functions are graphed on the same coordinate plane?

• None
• One
• Two
• Infinite

Solve the following system using the method of your choice.  

• (1, -5)
• infinite solutions
• (-4, 1)
• No solution

If two lines have the same slopes and the same y-intercepts, how many solutions will there be when both functions are graphed on the same coordinate plane?

• None
• Infinite
• Two
• One

How do you know which side of the line to shade when graphing a linear inequality?

• shade to the right if it's greater than
• shade to the right if it's less than
• test a point
• if it's "or equal to", shade both sides