Math 1 Test 4

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

• x+y=134
  x+y=120
• 3x+3y=134
  4x+3y=120
• 4x+3y=134
  3x+3y=120
• 7xy=134
  6xy=120

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

Solve the system of equations by graphing.
y = -4x + 5
y =  3x - 16

• (-3, -25)
• (3,-7)
• (11, 17)
• (21, 47)

Tags

CCSS.8.EE.C.8B

Solve the system of equations using substitution:
y = 2x + 5
2x + 2y = 4

• (1, 7)
• (7, 1)
• (2, 9)
• (-1, 3)

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.8.EE.C.8A

A linear system has infinitely many solutions when the graphs of the equations are _____________.

• not identical
• parallel
• identical
• one point

Tags

CCSS.8.EE.C.8A

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

Solve:
-5x - 9y = -3
-2x + 6y = -30

• (-1, 0)
• (6, -3)
• (7, 7)
• (0, 1)

A group of students want to order shirts with their school logo. One company charges $9.99 per shirt plus a setup fee of $55. Another company charges $7.99 per shirt plus a $75 fee. Write a system that you can solve to find the number of shirts which both companies charge the same amount? 

• y = 9.99x+ 55
  y = 7.99x + 75
• y = 9.99 + 55x
  y = 7.99 + 75x
• y = 9.99 + 75x
  y = 7.99 + 55x
• y = 9.99x + 75
  y = 7.99x + 55

Tags

CCSS.8.EE.C.8C

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales. 
How many matinee tickets were sold?
How many regular tickets were sold?

• 227 regular tickets and 351 matinee tickets
• no solution
• 227 matinee tickets and 351 regular tickets
• 640 matinee and 115 regular tickets

Tags

CCSS.8.EE.C.8

CCSS.8.F.B.4