Elimination Method practice

Solve.

8x +10y = - 20

−8x − 6y = −4

• Infinite number of solutions

• (6, 5)

• (−6, −5)

• (5, −6)

• No Solution

Solve.

9x - 4y = 7

x - 4y = -17

• (-1,5)

• (-7,5)

• (7,5)

• (3,5)

Solve.

2x+3y=-26

4x+11y= -82

• infinite solutions

• (-4,-2)

• (0,-8)

• (-4, -8 )

3x + 2y = -1
4x - 14y = 82

• ( 3, 5 )

• ( 5, -3 )

•   (3,-5 )

• no solution

Solve.

−6x + 6y = 0

9x − 8y = 4

• (4, −9)

• Infinite number of solutions

• (−9, 4)

• (4, 4)

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. How many of each animal are in the barn?

• 7 horses and 8 chickens

• 8 horses and 7 chickens

• x = 2y + 44

  4x = y + 15

• 2x - 4y = 44

  x - y = 15

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, which system could be used to find 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.HSA.CED.A.3

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3
• x + y = 33
  x = 2y - 3
• x + y = 33
  x = 3 - 2y
• x + y = 3
  x = 33 - 2y

Tags

CCSS.HSA.CED.A.3

1. A farmer wants to put a fence around the perimeter of his field. The width of his field is 10 yards less than the length. The farmer will use 108 yards of fencing. What is the width and length of his field?

• L = 32 and w = 22

• L = 22 and w = 32

• L = 32 and w = 18

• L = 14 and w = 22

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? 

• x + y = 6
  14.80x + 17y = 91
• x + y = 91
  14.80x + 17y = 6
• x + y = 6
  14.80y + 17x = 91
• x + y = 91
  14.80x+ 17y = 6

Tags

CCSS.HSA.CED.A.3