Linear equations in standard form word problems

Linear equations in standard form word problems

When graphing standard form linear equations...

• Find your x-intercept by plugging in zero for the y-value

• Find your y-intercept by plugging in zero for the x-value

Graph

• Graph your x-intercept

• Graph your y-intercept

• Draw a line connecting the 2 points

It works the same way for word problems, except you have to write your equation from the information rather than it being given to you.

• Write the equation

• Find the intercepts using that equation

• Graph the intercepts

• You'll also have to interpret your intercepts (tell what the intercepts mean)

Writing the equation

Multiple Choice

Writing the equation

You have $28 to spend on Tech-decks and Takis. Tech-decks cost $7 each and jumbo bags of Takis cost $4 each.

Let x = # of Tech-decks

Ley y = # of bags of jumbo Takis

What equation should you use for this word problem?

• 28x+7y=4

• 4x+7y=28

• 7x+4y=28

• 4x+28y=7

Multiple Choice

Writing the equation

You have $18 to spend on Uber Eats credits and hats for Among us. Uber Eats credits are $1 each and hats for Among Us cost $2 each.

Let x = # of Uber Eats credits

Ley y = # of hats for Among Us

What equation should you use for this word problem?

• y+18x=2

• x+2y=18

• 2x+y=18

• 18x+y=2

Finding the intercepts

Multiple Choice

Finding the intercepts

You have $28 to spend on Tech-decks and Takis. Tech-decks cost $7 each and jumbo bags of Takis cost $4 each.

Let x = # of Tech-decks

Ley y = # of bags of jumbo Takis

What is your x-intercept?

• (0,4)

• (0,7)

• (7,0)

• (4,0)

Multiple Choice

Finding the intercepts

You have $28 to spend on Tech-decks and Takis. Tech-decks cost $7 each and jumbo bags of Takis cost $4 each.

Let x = # of Tech-decks

Ley y = # of bags of jumbo Takis

What is your y-intercept?

• (0,4)

• (0,7)

• (7,0)

• (4,0)

Multiple Choice

Finding the intercepts

You have $18 to spend on Uber Eats credits and hats for Among us. Uber Eats credits are $1 each and hats for Among Us cost $2 each.

Let x = # of Uber Eats credits

Ley y = # of hats for Among Us

What is the x-intercept?

• (0,9)

• (18,0)

• (9,0)

• (0,18)

Multiple Choice

Finding the intercepts

You have $18 to spend on Uber Eats credits and hats for Among us. Uber Eats credits are $1 each and hats for Among Us cost $2 each.

Let x = # of Uber Eats credits

Ley y = # of hats for Among Us

What is the y-intercept?

• (0,9)

• (18,0)

• (9,0)

• (0,18)

Graphing the intercepts

Multiple Choice

Graphing the intercepts

You have $28 to spend on Tech-decks and Takis. Tech-decks cost $7 each and jumbo bags of Takis cost $4 each.

Let x = # of Tech-decks

Ley y = # of bags of jumbo Takis

What equation should you use for this word problem?

Multiple Choice

Graphing the intercepts

You have $18 to spend on Uber Eats credits and hats for Among us. Uber Eats credits are $1 each and hats for Among Us cost $2 each.

Let x = # of Uber Eats credits

Ley y = # of hats for Among Us

What equation should you use for this word problem?

Interpreting the intercepts

Multiple Choice

Interpreting the intercepts

You have $28 to spend on Tech-decks and Takis. Tech-decks cost $7 each and jumbo bags of Takis cost $4 each.

Let x = # of Tech-decks

Ley y = # of bags of jumbo Takis

How would you interpret the x-intercept?

• You bought 4 Tech decks and 0 jumbo bags of Takis

• You bought 0 Tech decks and 4 jumbo bags of Takis

Multiple Choice

Interpreting the intercepts

You have $28 to spend on Tech-decks and Takis. Tech-decks cost $7 each and jumbo bags of Takis cost $4 each.

Let x = # of Tech-decks

Ley y = # of bags of jumbo Takis

How would you interpret the y-intercept?

• You bought 7 Tech decks and 0 jumbo bags of Takis

• You bought 0 Tech decks and 7 jumbo bags of Takis

Multiple Choice

Interpreting the intercepts

You have $18 to spend on Uber Eats credits and hats for Among us. Uber Eats credits are $1 each and hats for Among Us cost $2 each.

Let x = # of Uber Eats credits

Ley y = # of hats for Among Us

How would you interpret the x-intercept?

• You bought $18 worth of Uber Eats credits and 0 hats for Among Us

• You bought $0 worth of Uber Eats credits and $18 worth of hats for Among Us

Multiple Choice

Interpreting the intercepts

You have $18 to spend on Uber Eats credits and hats for Among us. Uber Eats credits are $1 each and hats for Among Us cost $2 each.

Let x = # of Uber Eats credits

Ley y = # of hats for Among Us

How would you interpret the y-intercept?

• You bought $9 worth of Uber Eats credits and 0 hats for Among Us

• You bought $0 worth of Uber Eats credits and $9 worth of hats for Among Us