Systems of Equations Word Problems

Systems of Equations Word Problems

Directions

Determine the system that would represent each word problem OR determine the method you would use to solve the system.

Multiple Choice

Trevor and Kylie are selling fruit for a school fundraiser. Customers can buy small boxes of oranges (x) and large boxes of oranges (y). Trevor sold 3 boxes of small oranges and 14 boxes of large oranges for a total of $203. Kylie sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220.

• $14x\ +\ 3y\ =\ 203$
  $11x\ +\ 11y\ =\ 220$
  

• $3x\ +\ 14y\ =\ 203$
  $11x\ +\ 11y\ =\ 220$
  

• $3x\ +\ 14y\ =\ 220$
  $11x\ +\ 11y\ =\ 203$
  

• $14x\ +\ 3y\ =\ 220$
  $11x\ +\ 11y\ =\ 203$
  

Multiple Choice

What method would you use to solve the system below?

 $3x\ +\ 14y\ =\ 203$  

 $11x\ +\ 11y\ =\ 220$  

• Graphing

• Substitution

• Elimination

Multiple Choice

The length (y) of a rectangle is equal to triple the width (x). The perimeter of the rectangle is 86 centimeters.

• $y\ =\ 3x$
  $2x\ +\ 2y\ =\ 86$
  

• $x\ =\ 3y$
  $2x\ +\ 2y\ =\ 86$
  

• $y\ =\ 3x$
  $x\ +\ y\ =\ 86$
  

• $x\ =\ 3y$
  $xy=86$
  

Multiple Choice

What method would you use to solve the system below?

 $y\ =\ 3x$  
 $2x\ +\ 2y\ =\ 86$  

• Graphing

• Substitution

• Elimination

Multiple Choice

Eliezer's Ice-Cream Shop sells sundaes (x) for $2 and banana splits (y) for $3. On a hot summer day, he sold 8 more sundaes than banana splits and made $156.

• $x\ =\ y\ +\ 8$
  $3x\ +\ 2y\ =\ 156$
  

• $y\ =\ x+8$
  $2x\ +\ 3y\ =\ 156$
  

• $x\ =\ 8y$
  $2x\ +\ 3y\ =\ 156$
  

• $x\ =\ y\ +\ 8$
  $2x\ +\ 3y\ =\ 156$
  

Multiple Choice

What method would you use to solve the system below?

 $x\ =\ y\ +\ 8$  
 $2x\ +\ 3y\ =\ 86$  

• Graphing

• Substitution

• Elimination

Multiple Choice

Stacy went to the store to buy vegetables. The cost of 5 squash (x) and 2 zucchini (y) was $1.32. Three squash and 1 zucchini cost $0.75.

• $5x\ +\ 2y\ =\ 1.32$
  $3x\ +\ y\ =\ .75$
  

• $2x\ +\ 5y\ =\ 1.32$
  $x\ +\ 3y\ =\ .75$
  

• $5x\ +\ 2y\ =\ .75$
  $3x\ +\ y\ =\ 1.32$
  

• $2x\ +\ 5y\ =\ 1.32$
  $x\ +\ y\ =\ .75$
  

Multiple Choice

What method would you use to solve the system below?

 $5x\ +\ 2y\ =\ 1.32$  

 $3x\ +\ y\ =\ .75$  

• Graphing

• Substitution

• Elimination

Multiple Choice

Alex decides to call for some fast food delivery. If he chooses McDonalds, the delivery fee is $7 and each sandwich costs $3.99. For KFC, there is no delivery fee but each sandwich (x) is $4.99. Let y be the total cost.

•  $3.99x\ +\ 4.99y\ =\ 7$  
   $x+\ y\ =\ 0$  
  

•  $y\ =\ 10.99x$  
   $y\ =\ 4.99x$  
  

•  $y\ =\ 4.99x\ +\ 7$  
   $y\ =\ 3.99x$  
  

•  $y\ =\ 3.99x\ +\ 7$  
   $y\ =\ 4.99x$  
  

Multiple Choice

What method would you use to solve the system below?

 $y\ =\ 3.99x\ +\ 7$  

 $y\ =\ 4.99x$  

• Graphing

• Substitution

• Elimination