SOLVING SYSTEMS OF EQUATIONS FOR SAT WORKSHEET

Problem 1 :

3x + 4y = -23

2y - x = -19

What is the solution (x, y) to the system of equations above?

A) (-5, -2)     B) (3, -8)    C) (4, -6)    D) (9, -6)

Solution

Problem 2 :

x + y = -9

x + 2y = -25

According to the system of equations above,, what is the value of x ?

Solution

Problem 3 :

The system of equations above has solution (x, y). What is the value of x?

A) 3       B) 7/2     C) 4       D) 6

Solution

Problem 4 :

-3x + 4y = 20

6x + 3y = 15

If (x, y) is the solution to the system of equations above, what is the value of x?

Solution

Problem 5 :

x/y = 6

4(y + 1) = x

If (x, y) is the solution to the system of equations above, what is the value of y?

Solution

Problem 6 :

kx - 3y = 4

4x - 5y = 7

In the system of equations above, k is a constant and x and y are variables. For what value of k will the system of equations have no solution?

Solution

Problem 7 :

x + y = 0

3x - 2y = 10

Which of the following ordered pairs (x, y) satisfies the system of equations above?

A) (3, -2)        B) (2, -2)     C) (-2, 2)     D) (-2, -2)

Solution

Problem 8 :

2x - 3y = -14

3x - 2y = -6

If (x, y) is the solution to the system of equations above, what is the value of x - y ?

A) -20        B) -8     C) -4      D) 8

Solution