PSAT

PSAT: Solving System of Equations

Sunday, Oct. 11 /2020

Multiple Choice

There are 50 donkeys and chickens on a far. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174

  4d + 2c = 50

• d + c = 50

  4d + 2c = 174

• d + c = 50

  2d + 4c = 174

• d + c = 174

  2d + 4c = 50

Multiple Choice

• (3,-1)

• (-3,-1)

• (1,2)

• (-1,2)

Multiple Choice

Solve for x and y (Use Substitution)

2x − 3y = −1

y = x − 1

• (-2,-3)

• (0,-1)

• (3,4)

• (4,3)

Multiple Choice

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Multiple Choice

What is the value of the y-coordinate of the solution to the system of equations

x-2y=1

x+4y=7

• 1

• -1

• 3

• 4

Multiple Choice

What is the value of the y-coordinate of the solution to the system of equations

x-2y=1

x+4y=7

• 1

• -1

• 3

• 4

Multiple Choice

The equations of two lines are:

2x-y=4 and y=-2x+8.

What is the value of x in the solution for this system?

• x=8

• x=3

• x=11

• x=5

Multiple Choice

Solve for x and y

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Multiple Choice

Solve for x and y

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Multiple Choice

Solve for x and y.

y = 2/3x - 2

y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Multiple Choice

Which ordered pair (x,y) satisfies the system of equations shown below?

2x - y = 6

x + 2y = -2

• (-6, 2)

• (-2, 2)

• (2, -2)

• (4, 2)