Simultaneous Equations

Solve:

3x - y = 11

x + y = 5

• x = 4

  y = 1

• x = 4

  y = -1

• x = -4

  y = 1

• x = -4

  y = -1

Tags

CCSS.HSA.REI.C.6

Solve:

2x + 3y = 5

x + 3y = 7

• x = -2

  y = 3

• x = -2

  y = -3

• x = 2

  y = 3

• x = 2

  y = -3

Tags

CCSS.HSA.REI.C.6

Solve:

2x + 5y = 29

x + 5y = 22

• x = 7

  y = 3

• x = -7

  y = -3

• x = 7

  y = -3

• x = -7

  y = 3

Tags

CCSS.HSA.REI.C.6

Solve for (x,y)

-2x + 6y = 16

-4x - 3y = 2

• (2,2)

• (-2, -2)

• (-2,2)

• (2,1)

Tags

CCSS.HSA.REI.C.6

Some horses and chickens are in a pasture. If there are a total of 28 animals and 80 legs, how many chickens and how many horses are there? (Hint: Write simultaneous equations and then solve)

• 10 horses, 18 chickens

• 16 horses, 12 chickens

• 12 horses, 16 chickens

• 18 horses, 10 chickens

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour 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 colour brochures. Which simultaneous equations represent this situation?

• x+y=134

  x+y=120

• 3x+3y=134

  4x+3y=120

• 4x+3y=134

  3x+3y=120

• 7xy=134

  6xy=120

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

A man has 100 shares of stock A and 200 shares of stock B. The total value is $420. If he sells 50 shares of stock A and buys 60 shares of stock B the value is now $402. Find the price of each share.

• A = $2, B = $1
• A = $1, B = $2
• A = $1.20, B = $1.80
• A = $1.80, B = $1.20

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

A theatre can hold 200 people. If the price of admission is $5 for an adult and $2 per child, find the number of each if the theatre is full and the profit is $577.

• 59 adults and 141 children
• 40 adults and 160 children
• 60 adults and 140 children
• 41 adults and 159 children

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

Rectangle A is 3 times longer than rectangle B and twice as wide. If the perimeter of A is 50cm and the perimeter of B is 20cm, find the length and width of A.

• 15 and 20
• 5 and 15
• 15 and 10
• 5 and 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Solve:

3x - y = 11

x + y = 5

• x = 4

  y = 1

• x = 4

  y = -1

• x = -4

  y = 1

• x = -4

  y = -1