System of Equations Using Situations

Which of the following situations would result in no solution to a system of linear equations?

• Identical Lines

• Parallel Lines

• Perpendicular Lines

• Intersecting Lines

Tags

CCSS.8.EE.C.8A

Which of the following situations would result in infinitely many solutions to a system of linear equations?

• Identical Lines

• Parallel Lines

• Perpendicular Lines

• Intersecting Lines

Tags

CCSS.8.EE.C.8A

Karen makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend babysitting?

• 4 hours

• 7 hours

• 11 hours

• 18 hours

Tags

CCSS.8.EE.C.8C

Two numbers have a sum of 217 and a difference of 85. What is the smaller of the two numbers?

Tags

CCSS.8.EE.C.8C

Which answer below shows the first step in solving the below system of equations using substitution?

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Two numbers have a sum of 217 and a difference of 85. What is the larger of the two numbers?

Tags

CCSS.8.EE.C.8C

Some students want to order shirts with their school logo. One company charges a setup fee of $43 and an additional $9.65 per shirt. The other company charges $8.40 per shirt with a setup fee of $58. Set up a system of equations to represent the situation. 

• 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

Tags

CCSS.HSA.CED.A.3

A large 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. Set up a system of equations to represent the situation. 

• 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.HSA.CED.A.3

Solve the system of equations using substitution or elimination. 
y = 3x - 8
y = 4 - x

• (3,1)

• (1,3)

• (-3,1)

• (3,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740

• S + A = 530
  4S + 3A = 1740

• S + A = 1740
  3S + 4A = 530

• S + A = 1740
  4S + 3A = 530

Tags

CCSS.8.EE.C.8C