Create Systems of Equations

A system of equations is a set of _________ or more equations.

• 0

• 1

• 2

A ________ is often used to represent an unknown value in an equation.

• variable

• number

• letter

• solution

A system of equations always has the same ___________ and ___________.

• equations and variables

• equations and solutions

• letters and numbers

• variables and solutions

• letters

• variables

• numbers

• solutions

A __________ is a value that makes all equations in a system true.

• solution

• number

• variable

• letter

• a = -8

• a = 29

• a = 2

• a = 6

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

• x + y = 1550

  y = 4x

• x + y = 1550

  y = x + 4

• y - x = 1550

  y = 4x

• y = 1550 + x

  y = x + 4

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.  Which system of equations could be used to find the exact number of dimes and 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

The perimeter of rectangular box is 18 inches and the width is five inches less than the length. If W=width of the box and L=length of the box, which system of equations matches the situation?

• L + W = 18
  W = L - 5
• 2L + 2W = 18
  L = W - 5
• 2L + 2W = 18
  W = L - 5
• 2L + 2W = 18
  W = 5 - L

Erica has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket. How many weeks will it take Erica to save money for a new jacket? Use w as the number of weeks.

• 5 + 14w = 64

• 14 + 5w = 64

• 19w = 64

• 5w - 14 = 64