Exploring Adding and Subtracting Rational Expressions

What is the first step in solving a system of equations using substitution?

• Graph the equations

• Add the equations together

• Multiply both equations

• Isolate one of the variables

What does isolating a variable involve?

• Multiplying both sides by the variable

• Getting the variable by itself on one side of the equation

• Subtracting the variable from both sides

• Adding a constant to both sides

What is the purpose of isolating a variable in systems of equations?

• To graph the equation

• To prepare it for substitution

• To simplify the equation

• To eliminate the variable

After isolating y in the first example, what is the next step?

• Isolate x in the same equation

• Substitute y into the other equation

• Solve for x in the same equation

• Graph the equation

How do you solve for x after substituting y?

• By isolating x in the substituted equation

• By adding y to both sides

• By graphing the equation

• By substituting x into the original equation

What is the final step after finding the value of x?

• Substitute x back to find y

• There are no more steps

• Graph the solution on a coordinate plane

• Isolate y in the original equation

In the second example, which variable is easier to isolate for substitution?

• x

• Both are equally easy

• It depends on the equation

• y

What do you do after isolating x in the second example?

• Combine like terms

• Graph both equations

• Solve for y using the isolated x

• Substitute x into the first equation

How do you find the value of y after substituting x?

• By graphing the equation

• By solving the equation for y

• By adding constants to both sides

• By isolating y in the new equation

What starts with a 't', ends with a 't', and is filled with 't'?

• Toast

• Tent

• Teapot

• Ticket