Review Chapter 4 Systems of equations

What is the solution to the graphed system of equations?

• (0, 0)

• (-2, 1)

• (1, -2)

• (2, 2)

How many solutions will this system have?

• No solution

• One Solution

• Two Solutions

• Infinitely Many Solutions

Solve using substitution:
6x + y = -1
y = -3x - 4

• (3, 1)
• (1, 7)
• (-3, 1)
• (1, -7)

Solve using substitution:
y = -3x + 11
5x + y = 21

• (1, -5)
• (1, 5)
• (-4, 5)
• (5, -4)

Two brothers went shopping at a back-to-school sale where all shirts were one price and all shorts were all another price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

• $5

• $10

• $15

• $20

2 sodas with 3 hamburgers cost $8.50. 6 sodas and 1 hambuger cost $9.50. Find how much a soda and hambuger cost. 

• soda = $1.50, hamburger = $2.25
• soda=$1.25, hamburger =$2.00
• soda=$1.25, hamburger= $2.25
• soda=$1.50, hamburger =$2.50

Solve by elimination:
7x+y=-9

-3x=y+5

• No solution
• (1,8)
• (-2,-3)
• (-1,-2)

Solve by elimination:
4x+4y=4

3x+4y=10

• (7,-6)
• (-6,7)
• (6,7)
• (7,6)

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44
• 4x + 2y = 15
  x + y = 44
• x = 2y + 44
  4x = y + 15
• 2x - 4y = 44
  x - y = 15

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions