Linear Equations in Standard Form Word Problems

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?

• 4x + 3y = 8.10

• 4x + 5y = 10.80

• 4x - 5y = 10.80

• 4x + 10.80y = 5

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

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. If enchiladas cost $1.20 how much do the tacos cost?

• $1.00

• $1.20

• $1.05

• $1.10

Tickets to the theater cost $20 in advance and $25 at the door. Total ticket sales last night were $1,050. If 30 tickets were purchased in advance how many tickets were purchased at the door?

• 18

• 17

• 22

• 19

Sam's piggy bank contains nickels and dimes. The total amount of money in his bank is $4.50. If Sam has 42 nickels how many dimes does he have?

• 20

• 24

• 23

• 21

Blue toy cars cost $1 each and red toy cars cost $1.50 each. Mark spent $10 on toy cars. If Mark purchased 2 red toy cars how many blue toy cars did he buy?

• 5

• 6

• 4

• 7