Linear Equation Word Problems

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

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

Tickets to the theater cost $20 in advance and $25 at the door. Total ticket sales last night were $1,050. Which equation matches the given situation?

• 20x + 25y = 1,050

• 20x + 1,050y = 25

• 20x - 25y = 1,050

• 1,050x + 25y = 20

Sam's piggy bank contains nickels and dimes. The total amount of money in his bank is $4.50. Which equation represents the given situation?

• 5x + 10y = 4.50

• .05x + .10y = 4.50

• .50x + .10y = 4.50

• 5x + 4.50y = 10

Blue toy cars cost $1 each and red toy cars cost $1.50 each. Mark spent $10 on toy cars. Which equation represents the given situation?

• 1.50x + 10y = 1

• 10x + 1.50y = 1

• 1x + 10y = 1.50

• 1x + 1.50y = 10

Richard ordered 3 burgers and 2 orders of fries for himself and his friends. His order cost $12.75. Which equation represents the given situation?

• 3x + 12.75y = 2

• 3x + 2 = 12.75y

• 3x + 2y = 12.75

• 3x - 2y = 12.75

Micheal sells hotdogs for $1.45 each and hamburgers for $3.25 a piece. One day he made $26.40. Which equation models the situation?

• 1.45y - 3.25x = 26.40

• 1.45( x + 3.25y) = 26.40

• 1.45x + 3.25y = 26.40

• 1.45x - 3.25y = 26.40

What is standard form of a line?

• y = mx + b

• Ax + By = C

• y - y1 = m(x - x1)

• y = Ax + By

You have only nickels (x) and dimes (y) in your piggy bank. When you ran the coins through a change counter, it indicated you have $5.95. Write an equation to represent this situation.

• 0.05x + 0.10y = 5.95

• 0.10x + 0.05y = 5.95

• 0.05x + 0.10y = 595

• 0.10x + 0.05y = 595

A football team scores 63 points. All of the points come from field goals (x) worth 3 points and touchdowns (y) worth 7 points. Write an equation in standard form that represents this situation.

• 3x + 7y = 63

• 7x + 3y = 63

• x + y = 63

• x + y = 10