Review - Systems of Linear Equations

Review - Systems of Linear Equations

By Brad Thornton

Multiple Choice

Using the given system of linear equations, determine the number of possible solutions by observation.

$$y=2x+4$$  

$$y=2x-2$$  

•  One Solution 

• No Solution

• Infinite Solutions

Multiple Choice

Using the given system of linear equations, determine the number of possible solutions by observation.

$$y=\frac{2}{3}x+1$$  

$$y=x-5$$  

•  One Solution 

• No Solution

• Infinite Solutions

Multiple Choice

Using the given system of linear equations, determine the number of possible solutions by observation.

$$y=4x-2$$  

$$y=\frac{8}{2}x-\frac{6}{3}$$  

•  One Solution 

• No Solution

• Infinite Solutions

Multiple Choice

Using the given system of linear equations, determine the number of possible solutions by observation.

$$y=3x-8$$  

$$y=-3x+8$$  

•  One Solution 

• No Solution

• Infinite Solutions

Multiple Choice

Using the given system of linear equations, determine the number of possible solutions by observation.

$$y=\frac{1}{2}x+6$$  

$$y=\frac{5}{10}x+\frac{18}{3}$$  

•  One Solution 

• No Solution

• Infinite Solutions

Multiple Choice

Using the given system of linear equations, determine the number of possible solutions by observation.

$$y=-\frac{3}{5}x$$  

$$y=-\frac{3}{5}x+0.75$$  

•  One Solution 

• No Solution

• Infinite Solutions

Multiple Choice

Using the given system of linear equations, determine the number of possible solutions by observation.

$$3x-2y=8$$  

$$3x+2y=10$$  

•  One Solution 

• No Solution

• Infinite Solutions

Multiple Choice

Using the given system of linear equations, determine the number of possible solutions by observation.

$$3x+y=-12$$  

$$3x+y=10$$  

•  One Solution 

• No Solution

• Infinite Solutions

Multiple Choice

Using the given system of linear equations, determine the number of possible solutions by observation.

$$-4x+3y=-6$$  

$$4x-3y=6$$  

•  One Solution 

• No Solution

• Infinite Solutions

Multiple Choice

What is the solution to the system of linear equations?

• $$\left(-3,2\right)$$  

• $$\left(2,-3\right)$$  

• $$\left(3,2\right)$$  

• $$\left(-2,-3\right)$$  

Multiple Choice

What is the solution to the system of linear equations?

• $$\left(-4,2\right)$$  

• $$\left(4,2\right)$$  

• $$\left(-4,-2\right)$$  

• $$\left(4,-2\right)$$  

Multiple Choice

What is the solution to the system of linear equations?

• $$\left(4,-1\right)$$  

• $$\left(4,1\right)$$  

• $$\left(-4,-1\right)$$  

• $$\left(-4,1\right)$$  

Multiple Choice

What is the solution to the system of linear equations?

• $$\left(-2,4\right)$$  

• $$\left(2,4\right)$$  

• $$\left(-4,2\right)$$  

• $$\left(4,2\right)$$  

Multiple Choice

What is the best estimate solution to the system of linear equations?

• $$\left(1.5,1.5\right)$$  

• $$\left(1.5,-1.5\right)$$  

• $$\left(-1.5,1.5\right)$$  

• $$\left(-1.5,-1.5\right)$$  

Multiple Choice

What is the best estimate solution to the system of linear equations?

• $$\left(0.4,1.8\right)$$  

• $$\left(-0.4,1.8\right)$$  

• $$\left(1.8,0.4\right)$$  

• $$\left(1.8,-0.4\right)$$