SAT Practice Problems

What is the solution of the system of linear equations?  $y=-\frac{2}{3}x+1\ \ \ \ \ \ \ \ \ y=\frac{2}{3}x-3$  

• (3, 1)

• (3, -1)

• (-3, 1)

• (-3, -1)

Which point lies on the graph of the system?
 $4x+y=23\ \ \ \ \ \ \ \ \ x-y=2$  

• (5, 3)

• (4, 7)

• (3, 5)

• (0, 4)

Solve the linear system and choose the statement below that is TRUE about the solution of the system.
 $5x+2y=28$  
 $y=\frac{1}{2}x+2$  

• The value of x is greater than the value of y

• The value of y is greater than the value of x

• The values of x and y are equal

• The relationship cannot be determined from the given information

If $3x+2y=8$ and  $-4x+3y=-5$  , then  $x+y=$  __?__.

• 6

• 3

• 5

• 7

Choose the system of linear equalities shown in the graph.

• $y>\frac{3}{2}x-2$ , $y\ge-\frac{2}{3}x+3$

• $y<\frac{3}{2}x-2$ , $y\ge-\frac{2}{3}x+3$

• $y<\frac{3}{2}x-2$ , $y\le-\frac{2}{3}x+3$

• none of these

If $5x-3y=1$  and  $x-2y=-4$  , then  $xy=$  __?__.

• 5

• 4

• 7

• 6

Put the steps in order of how you would solve the system of equations using elimination:

 $2x+5y=7$  Equation X
 $4y-3x=16$  Equation Y
1. Substitute the known variable into either of the original equations. Solve for the remaining unknown variable.
2. Multiply Equation X by 3 and Equation Y by 2.
3. Multiply Equation X by 3 and Equation Y by -2.
4. Arrange the equations with like terms in columns
5. Add the equations, combine like terms to eliminate one variable, and solve for the remaining variable.

• 1, 2, 3, 4

• 4, 2, 5, 1

• 4, 3, 5, 1

• 2, 4, 1, 5