Systems of Equations Practice

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• skew lines

• parallel lines

• multiple lines

How many solutions are there for this system of equations?

• no solution

• an infinite number of solutions

• one solution

• two solutions

Solve for Intercept

y=2x+1

y=4x-1

• -1, 3

• -1, -3

• 1, 3

• 3, 1

What is the first step in solving this equation? 

5x + 7 = 12

• divide both sides by 7

• multiply both sides by 7

• subtract 7 from both sides

• add 7 to both sides

What is the solution for this system of equations?

x+y=4

y=1

• -1, -3

• 3, 1

• 1, 3

• -3, -1

Which step cannot be performed first when solving the equation

5 - 2(x - 7) = x + 1 + 3x

• distributing -2 to (x-7)

• combining x and 3x

• subtracting 1 from both sides

• subtracting 2 from 5

What is the value of the y coordinate in the solution for this system of equations?

x-2y=1

x+4y=7

• -1

• 4

• 1

• 3

Solve this system of equations:

3x-y=0

x=-2

• -2, 6

• 6, -2

• 2, 6

• 6, 2

In solving by substitution with the equations below, which variable should you isolate first?

3x + 2y = 10    and    x - 5y = 18

• x in the first equation

• y in the second equation

• x in the second equation

• y in the first equation

Solve the system by substitution. 

-5x - 4y = -9

y = 6

• 6, -3

• -3, 6

• 6.8, 3

• 3, 6