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Equations from Word Problems
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Medium
+2
Standards-aligned
Megan Heffley
Used 8+ times
FREE Resource
2 Slides • 21 Questions
1
​
2
Write the equation for the given word problems.
3
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.
4
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.
5
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.
6
Multiple Choice
Which method would you use to find the solution to the system?
3x + 14y = 203
11x + 11y = 220
Graphing
Substitution
Elimination
7
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).
8
Math Response
The length (y) of a rectangle is equal to triple the width (x).
9
Math Response
The perimeter of the rectangle is 80 centimeters.
10
Multiple Choice
What method would you use to solve the system below?
y = 3x
2x + 2y = 80
Graphing
Substitution
Elimination
11
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.
12
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.
13
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.
14
Multiple Choice
What method would you use to solve the system below?
x = y + 8
2x + 3y = 156
Graphing
Substitution
Elimination
15
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).
16
Math Response
Stacy went to the store to buy vegetables. The cost of 5 squash (x) and 2 zucchini (y) was $1.32.
17
Math Response
Stacy went to the store to buy vegetables. Three squash and 1 zucchini cost $0.75.
18
Multiple Choice
What method would you use to solve the system below?
5x + 2y = 1.32
3x + y = .75
Graphing
Substitution
Elimination
19
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).
20
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.
21
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.
22
Multiple Select
What method would you use to solve the system below?
y = 3.99x + 7
y = 4.99x
Graphing
Substitution
Elimination
23
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).
​
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