

Systems of Equations Word Problems
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
+3
Standards-aligned
Jaclyn Dragon
Used 170+ times
FREE Resource
7 Slides • 14 Questions
1
Systems of Equations Word Problems

2
Solving Systems Word Problems
Read the text (then re-read the text)
Write a Let Statement
Set up two (2) equations
Solve the system using any method (graphing, elimination, or substitution)
Answer the question
3
You have a total of 42 math and science problems for homework. You have 10 more math problems than science problems. How many problems do you have in each subject?
4
You have a total of 42 math and science problems for homework. You have 10 more math problems than science problems. How many problems do you have in each subject?
5
Multiple Choice
How many TOTAL problems do you have?
42
10
6
We don't know how many math or science problems so we are going to assign variables.
Science problems = x
Math problems = y
7
Fill in the Blanks
Type answer...
8
Fill in the Blanks
Type answer...
9
So our first equation is x+y=42.
10
Fill in the Blanks
Type answer...
11
Our second equation is y=x+10
12
Poll
Now it's time to solve the system. Which method would you use to solve
x+y=42y=x+10
Graphing
Elimination
Substitution
13
Fill in the Blanks
Type answer...
14
Fill in the Blanks
Type answer...
15
Multiple Choice
At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?
t: # of tacos
m: # of glasses of milk
t: Cost of each taco
m: Cost of each glass of milk
t: total cost
m: # of food items
t: Cost of each glass of milk
m: Cost of each taco
16
Multiple Choice
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?
1s + 3c = 38
2s + 3c = 52
3s + 1c = 38
3s + 2c = 52
s + c = 38
s + c = 52
3s + 3c = 38
1s + 2c = 52
17
Multiple Choice
Beth and Nora each improved their yards by planting rose bushes and ornamental grass. They bought their supplies from the same store. Beth spent $36 on 6 rose bushes and 2 bunches of ornamental grass. Nora spent $66 on 4 rose bushes and 6 bunches of ornamental grass. Which equations could you use to solve this system?
36+6x=2y
66+4x=6y
6x+2y=36
4x+6y=66
6x−2y=36
4x−6y=66
y=8x+36
y=10x+66
18
Multiple Choice
Beth and Nora each improved their yards by planting rose bushes and ornamental grass. They bought their supplies from the same store. Beth spent $36 on 6 rose bushes and 2 bunches of ornamental grass. Nora spent $66 on 4 rose bushes and 6 bunches of ornamental grass. What is the cost of one rose bush and the cost of one bunch of ornamental grass?
rose bush: $1, bunch of ornamental grass: $10
rose bush: $4, bunch of ornamental grass: $7
rose bush: $3, bunch of ornamental grass: $9
rose bush: $2, bunch of ornamental grass: $5
19
Multiple Choice
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?
3x + 2y = 315
2x + 4y = 450
3x + 2y = 450
2x + 4y = 315
2x + 2y = 315
3x + 4y = 450
20
Multiple Choice
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450
45 minutes
90 minutes
60 minutes
30 minutes
21
Multiple Choice
A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?
20 Multiple Choice
10 Multiple Choice
15 Multiple Choice
5 multiple choice
Systems of Equations Word Problems

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