Solving Systems by Substitution Quiz

What is the first step in solving systems by substitution?

• Solve for both variables simultaneously

• Get one variable alone in one of the equations

• Multiply the equations by a constant

• Add the equations together

In the substitution method, what do you do after isolating a variable?

• Add the isolated variable to both equations

• Substitute the isolated variable into the other equation

• Substitute the isolated variable into the same equation

• Ignore the isolated variable

In the first example, what is the value of X after solving the equation?

• X = 4

• X = 3

• X = 0

• X = -4

How is the final answer represented in the substitution method?

• As a fraction

• As a single number

• As a list of numbers

• As a point (X, Y)

In the second example, what is the first step to isolate a variable?

• Multiply both sides by a constant

• Add or subtract terms to move variables

• Divide both sides by a variable

• Square both sides of the equation

What is the value of X in the second example after solving?

• X = 4

• X = 1

• X = -4

• X = 0

What is the value of Y in the second example after solving?

• Y = 1

• Y = -1

• Y = 4

• Y = 0

What is the final solution point for the second example?

• (-4, -1)

• (4, 3)

• (0, 0)

• (1, -1)

Why is it important to write the solution as a point?

• It helps in graphing the solution

• It is a requirement for all math problems

• It makes the solution easier to read

• It is the only way to solve equations

What should you do if you end up with both X and Y in the equation after substitution?

• Start over and isolate a different variable

• Ignore the extra variable

• Add more variables to the equation

• Multiply the equation by a constant