Systems of Equations Review

Tania had 35 coins in pennies and nickels. She had $1.03. Which system of equations could be used to determine the number of coins she has?

• .01p + .05n = 35

  p + n = 103

• 1p + 5n = 1.03

  p + n = 35

• .01p + .05n = 1.03

  p + n = 35

• .05p + .01n = 1.03

  p + n = 35

You have a total of 17 coins.  All of your coins are nickels and dimes.  The total value of the coins is $1.35.  Which system of equations represents this situation?

• n+d=17
  .05n+.10d=1.35

• .05n+.10d=17
  n+d=1.35

• .25n+.10d=1.35
  n+d=17

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Write a system of equations could be used to find d, the number of dimes, and n, the number of nickels.

• d + n = 6.60

  .10d + .05n = 80

• d + n = 80

  d + n = 6.60

• d + n = 80

  .10d + .05n = 6.60

• d + n = 80

  .05d + .10n = 6.60

Lizzy has 30 coins that total $4.80. All of her coins are dimes, D, and quarters, Q. Which system of equations models this situation?

• D + Q = 4.80

  0.10D + 0.25Q = 30

• D + Q = 30

  0.10D + 0.25Q = 4.80

• D + Q = 30

  0.25D + 0.10Q = 4.80

• D + Q = 4.80

  0.25D + 0.10Q = 30

Callie graphed two lines in order to find the solution to a given system of equationsThe solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

Trinti graphed two lines in order to find the solution to a given system of equations. How many solutions are there?

• One Solution

• No solution

• Infinitely Many Solutions

Tristyn graphed two lines in order to find the solution to a given system of equations. How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

What type of solution does the following system represent?

• one solution

• no solution

• infinte solutions

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Same line

• Parallel lines