Lesson: Word Problems with Standard Form

Multiple Choice

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• YES I have my notebook out

• No, I know it means a bad grade

Word Problems with Standard Form

Objective: Solve word problems using the Standard Form of an equation.

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?

Type answer here

Correct Answer: 2

Deg^°

Rad

​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​

​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​

​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?

​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​

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.

Type answer here

Correct Answer: 4x+3y=24

Deg^°

Rad

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?

Type answer here

Correct Answer: 3

Deg^°

Rad

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