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Multiple Choice

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lbs and each box of books weighs 50 lbs. The maximum capacity of the elevator is 1000 lbs. How many boxes of books can the delivery person bring up at one time?

• 50x + 160 = 1000

• 50 + 160x = 1000

• 50x - 160 = 1000

• 50 - 160x = 1000

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

Multiple Choice

Amy wants to buy soda AND pizza for her Halloween party. She has $45 to spend. One case of soda costs $4, and one pizza costs $8. Write an equation that could be used to find a valid combination for as many cases of soda, x, and pizzas, y, as she can afford.

• 8x + 4y = 45

• 4x - 8y = 45

• 12xy = 45

• 4x + 8y = 45

Multiple Choice

Small bags of apples are $2 each and large bags of oranges are $6 each. A customer spends a total of $28.

If "x" is the number of bags of apples and "y" is the number of bags of oranges, which equation models this?

• 6x + 2y = 28

• 2x + 6y = 28

Multiple Choice

Oranges cost $4 per pound and bananas cost $2 per pound. A customer spends $28.

If "x" is the oranges and "y" is the bananas, which equation models this?

• 2x + 4y = 28

• 4x + 2y = 28

Multiple Choice

Hats are $10 each and gloves are $5 each. A customer spends a total of $30.

If "x" is the hats and "y" is the gloves, which equation models this?

• 10x + 5y = 30

• 5x + 10y = 30

​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

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​

Standard Form: Ax + By = C

• "A" can be a rate for x

• "B" can be a rate for y

• C is the total

Multiple Choice

A 100-point test has x questions worth 2-points each and y questions worth 4 points each.

Which equation describes all possible numbers of questions that may be on the test?

• 2x + 4y = 100

• 4x + 2y = 100

• 2x = 4y

• 6xy = 100

Fill in the Blanks

You are selling drinks at the carnival to raise money for your club. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.

Write an equation in standard form to model this situation.

Multiple Choice

 At a school play, children’s tickets cost $3 each and adult tickets cost $7 each. The total amount of money earned from ticket sales equals $210. Write a linear model that relates the number of children’s tickets sold to the number of adult tickets sold. Let x = the number of children’s tickets sold and y = the number of adult tickets sold

• y=10x+210
• 7x+3y=210
• y=7x+210
• 3x+7y=210

Multiple Choice

Small bags of apples are $2 each and large bags of oranges are $6 each. A customer spends a total of $28.

If "x" is the number of bags of apples and "y" is the number of bags of oranges, which equation models this?

• 6x + 2y = 28

• 2x + 6y = 28