Systems of Equations Word Problems

Systems of Equations Word Problems

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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 Select

What method would you use to solve the system below? $$y\ =\ 3.99x\ +\ 7$$  

$$y\ =\ 4.99x$$  

• Graphing

• Substitution

• Elimination