System Word Problems LINEAR

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 

• y = 6.80 + .65x
  y=7.30+.90x
• x + y = 6.80
  x + y = 7.30
• y = 6.80+.90x
  y = 7.30 + .65x
• y + .90x = 6.80
  y + .65x = 7.30

Tags

CCSS.8.EE.C.7

CCSS.8.EE.C.8

CCSS.8.F.A.2

CCSS.8.F.B.4

CCSS.8.SP.A.3

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 

• y = 9.65 + x y = 8.40 + x

• y = 9.65x + 43 y = 8.40x + 58

• y =9.65x y = 8.40x

• y = 9.65x - 43 y = 8.40x - 58

Rick started with $30 and he was getting paid $5 an hour. Morty had $33 and he was making $3 per hour.

• y = 5x + 30

  y = 3x + 33

• y = 30x + 5

  y = 33x + 3

• y = 5x + 33

  y = 3x + 30

• y = 30x + 3

  y = 33x + 5

The hare was 50 yards from the finish line and the tortoise was 30 yards from the finish line. The hare was running at 10 yards per minute and the tortoise was running at 5 yards per minute.

• y = -50x + 10

  y = -30x + 5

• y = -10x + 5

  y = -30x + 50

• y = -10x + 50

  y = -5x + 30

• y = -10x + 30

  y = -5x + 50

Two friends were Snapping. One friend had 56 Snaps and was Snapping 14 more a minute. The other friend was Snapping 23 times per minute and had already Snapped 78 times.

• y = 14x + 56

  y = 23x + 78

• y = 56x + 14

  y = 78x + 23

• y = 14x + 78

  y = 23x + 56

• y = 78x + 56

  y = 14x + 23

Michael scored 36 points and was scoring another 2 points every minute. Kobe was scoring 3 points a minute and already had 20 points.

• y = 2x + 36

  y = 3x + 20

• y = 36x + 2

  y = 20x + 3

• y = 20x + 36

  y = 2x + 3

• y = 36x + 20

  y = 3x + 2

John was 20 feet away and was running 5 feet per minute further away. Alex was 50 feet away and was running 3 feet per minute further away. Write a system of two equations for this situation.

• y = 5x + 20

  y = 3x + 50

• y = 20x + 5

  y = 50x + 3

• y = 5x + 50

  y = 2x + 20

• y = 50x + 5

  y = 20x + 3

The Really Awesome Skating Rink was $5 to get in and $3 per hour. The Not As Awesome Skating Rink was $10 at the door and was $6 per hour. Write an equation for this situation.

• y = 3x + 5

  y = 6x + 10

• y = 5x + 3

  y = 10x + 6

• y = 3x + 10

  y = 6x + 5

• y = 5x + 6

  y = 10x + 3

The little bunny ate 20 carrots and he could eat another 5 carrots a day. The big bunny had already eaten 60 carrots and he could eat 25 more carrots a day. Write a system of equations for this situation.

• y = 5x + 20

  y = 25x + 60

• y = 20x + 5

  y = 60x + 25

• y = 60x + 5

  y = 20x + 25

• y = 5x + 60

  y = 25x + 20

Darth Vader and Kylo Ren were selling bacon pancakes. Darth Vader had made $23 and Kylo Ren had made $44. Darth Vader was making $5 per minute and Kylo Ren was making $30 a minute (because of his high-waisted pants). Write a system of equations for this situation.

• y = 30x + 44

  y = 5x + 23

• y = 44x + 30

  y = 23x + 5

• y = 30x + 23

  y = 5x + 44

• y = 23x + 30

  y = 44x + 5