Determining Number of Solutions to Linear Equations

⬇️⬇️​Set up your piece of paper as you see below. ⬇️⬇️

We will use the BACK for Examples #1-6.

​Turn your paper SIDEWAYS and make this chart BIG

Practice #1

Determine the number of solutions to the equation:

Multiple Choice

Determine the number of solutions to the equation:

$$2(x-1)=x+x-3$$

• one solution

• no solution

• infinitely many solutions

Practice #2

Determine the number of solutions to the equation:

Multiple Choice

Determine the number of solutions to the equation:

$$5x+8-7x=-4x+1$$

• one solution

• no solution

• infinitely many solutions

Practice #3

Determine the number of solutions to the equation:

Multiple Choice

Determine the number of solutions to the equation:

$$-4x-7+10x=-7+6x$$

• one solution

• no solution

• infinitely many solutions

Practice #4

Determine the number of solutions to the equation:

Multiple Choice

Determine the number of solutions to the equation:

$$-25z+1+35z=10z+1$$

• one solution

• no solution

• infinitely many solutions

Practice #5

Determine the number of solutions to the equation:

Multiple Choice

Determine the number of solutions to the equation:

$$20z-5-12z=10z+8$$

• one solution

• no solution

• infinitely many solutions

Practice #6

Determine the number of solutions to the equation:

Multiple Choice

Determine the number of solutions to the equation:

$$3x+2x-4=5(x-2)$$

• one solution

• no solution

• many solutions