Equations from Word Problems

Equations from Word Problems

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Directions

Write the equation for the given word problems.

Poll

How confident are in when writing equations from word problems?

• EASY.

• Depends on the word problem.

• I don't even know where to start.

Math Response

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.

Type answer here

Correct Answer: 3x+14y=203

Deg^°

Rad

Math Response

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

Type answer here

Correct Answer: 11x+11y=220

Deg^°

Rad

Multiple Choice

Which method would you use to find the solution to the system?

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

• Graphing

• Substitution

• Elimination

Multiple Choice

Use Desmos to find the solution to the system below.

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

• The solution to the system is (7, 13).

• The solution to the system is (13, 7).

• There is no solution to they system.

• The solution to the system is (0, 20).

Math Response

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

Type answer here

Correct Answer: y=3x

Deg^°

Rad

Math Response

The perimeter of the rectangle is 80 centimeters.

Type answer here

Correct Answer: 2x+2y=80

Deg^°

Rad

Multiple Choice

What method would you use to solve the system below?
$$y\ =\ 3x$$  
$$2x\ +\ 2y\ =\ 80$$  

• Graphing

• Substitution

• Elimination

Multiple Choice

Use Desmos to find the solution to the system of equations below.
$$y\ =\ 3x$$  
$$2x\ +\ 2y\ =\ 80$$  

• The solution to the system is (30, 10).

• The solution to the system is (1, 3).

• The solution to the system is (10, 30).

• There is no solution to the system.

Math Response

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.

Type answer here

Correct Answer: x=y+8

Deg^°

Rad

Math Response

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

Type answer here

Correct Answer: 2x+3y=156

Deg^°

Rad

Multiple Choice

What method would you use to solve the system below?
$$x\ =\ y\ +\ 8$$  
$$2x\ +\ 3y\ =\ 156$$  

• Graphing

• Substitution

• Elimination

Multiple Choice

Use Desmos to find the solution to the system of equations below.
$$x\ =\ y\ +\ 8$$  
$$2x\ +\ 3y\ =\ 156$$  

• The solution to the system is (2, 3).

• The solution to the system is (36, 28).

• The solution to the system is (28, 36).

• The solution to the system is (1, 8).

Math Response

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

Type answer here

Correct Answer: 5x+2y=1.32

Deg^°

Rad

Math Response

Stacy went to the store to buy vegetables. Three squash and 1 zucchini cost $0.75.

Type answer here

Correct Answer: 3x+1y=0.75

Deg^°

Rad

Multiple Choice

What method would you use to solve the system below?

$$5x\ +\ 2y\ =\ 1.32$$  

$$3x\ +\ y\ =\ .75$$  

• Graphing

• Substitution

• Elimination

Multiple Choice

Use Desmos to find the solution to the system of equations below.

$$5x\ +\ 2y\ =\ 1.32$$  

$$3x\ +\ y\ =\ .75$$  

• Infinitely many solutions to the system.

• The solution to the system is (0.18, 0.21).

• There is no solution to the system.

• The solution to the system is (0.21, 0.18).

Math Response

Alex decides to call for some fast food delivery. If he chooses McDonalds, the delivery fee is $7 and each sandwich (x) costs $3.99. Let y be the total cost.

Type answer here

Correct Answer: y=3.99x+7

Deg^°

Rad

Math Response

Alex decides to call for some fast food delivery. For KFC, there is no delivery fee but each sandwich (x) is $4.99. Let y be the total cost.

Type answer here

Correct Answer: y=4.99x

Deg^°

Rad

Multiple Select

What method would you use to solve the system below?
$$y\ =\ 3.99x\ +\ 7$$  
$$y\ =\ 4.99x$$  

• Graphing

• Substitution

• Elimination

Multiple Choice

Use Desmos to find the solution to the system of equations below.
$$y\ =\ 3.99x\ +\ 7$$  
$$y\ =\ 4.99x$$  

• Infinitely many solutions to the system.

• There is no solution to the system.

• The solution the system is (34.93, 7).

• The solution to the system is (7, 34.93).