Lesson: Word Problems with Standard Form
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
+3
Standards-aligned
Christopher Gassler
Used 23+ times
FREE Resource
5 Slides • 5 Questions
1
Multiple Choice
YES I have my notebook out
No, I know it means a bad grade
2
Word Problems with Standard Form
Objective: Solve word problems using the Standard Form of an equation.
3
Math Response
The Smith family bought ice cream cones that cost $4.25 each and milkshakes that cost $5.75 each. They spent $37.25. If they bought 5 milkshakes, how many ice cream cones did they buy?
4
Word Problems with Standard Form
In some word problems, you will have TWO RATES.
There will also be a TOTAL of some kind.
When these kinds of word problems come up we would use the Standard Form when making an equation.
Ax + By = C
The A and B would be the slopes (rate of change)
And C would be the total
5
EXAMPLE
A 100-point test has some questions worth 2 points a piece and other questions worth 4 points apiece.
DEFINE the variables
x stands for:
y stands for:
IDENTIFY the slopes (rates)
A:
B:
IDENTIFY the total
C:
CREATE the Equation
Ax + By = C
6
EXAMPLE
A 100-point test has some questions worth 2 points a piece and other questions worth 4 points apiece.
Write an equation that describes all possible numbers that could be on the test.
2x + 4y = 100
If you have 24 questions worth 4 points apiece, how many questions will be worth 2 points a piece?
7
EXAMPLE
Louise has $36 in five-dollar bills and singles. If she has two five-dollar bills, how many singles does she have?
DEFINE the variables
x stands for:
y stands for:
IDENTIFY the slopes (rates)
A:
B:
IDENTIFY the total
C:
CREATE the Equation
Ax + By = C
Answer the question
8
Math Response
The Ramy family bought 4 sandwiches and 3 salads. They spent $24. Let x be the cost of a sandwich and y be the cost of a salad.
Write an equation that models the situation.
9
Math Response
The Ramy family bought 4 sandwiches and 3 salads. They spent $24. Let x be the cost of a sandwich and y be the cost of a salad.
If each sandwich costs $3.75, how much did each salad cost?
10
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