One Variable Equations and Literal

Solve for y: -3x - 2y = 18

• y cannot be isolated unless you know the value of x

How many solutions does this equation have?16 - 3(x - 7) = 23 + 4x

• one solution

• no solution

• infinitely many solutions

• two solutions

Which set of steps can you use to isolate y in the equation?

• IN THIS ORDER:

  Divide both sides by 7.

  Subtract 2x on both sides.

• IN THIS ORDER:

  Subtract 2x on both sides.

  Divide both sides by 7.

• IN THIS ORDER:

  Subtract 7y on both sides.

  Divide by 2 on both sides.

Which equation below has NO SOLUTION?

• 12x - 6 = -6 + 12x

• 2.5x - 8 = -8

• 5x + 13 = -7 + 5x

• All of these have a solution

Which equation below has INFINITE SOLUTIONS?

• 12x - 6 = -6 + 12x

• 2.5x - 4 = -4

• 2x + 13 = 13x + 2

• All of these have no solution

An equation that can be written in the form y = mx + b, where m and b are constants

• extraneous solution

• equivalent equations

• linear equation in one variable

• absolute value equation

Equations that have the same solutions, such as r + 2 = 4 and r + 1 = 4

• equivalent equations

• absolute value equations

• linear equation in one variable

• none of the above

A literal equation that shows how one variable is related to one or more other variables

• formula

• solution

• rule

• none of the above

An equation that has two or more variables

• extraneous solution

• equivalent equations

• inverse operation

• literal equation