a Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.
B
b Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.
C
c Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.
D
d How many cases do you have after you remove the absolute value?
A
a x=3/2y+5
B
b x=24
C
c x=2.5
D
d x=3, x=0
Practice makes perfect
a To solve an equation for x, we should first gather all x-terms on one side of the equation and all of the other variables and constant terms on the other side, using the Properties of Equality.
b To solve an equation, we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side, using the Properties of Equality. In this case,
we need to start by using the Distributive Property to simplify the left-hand side of the equation.
c To solve an equation, using the Properties of Equality we should first gather all variables on one side of the equation and all constants on the other side.
We can start by expanding fractions so they have the same denominator. Then we will multiply both sides of the equation by this denominator to remove the fractions.
An absolute value measures an expression's distance from a midpoint on a number line.
|2x-3|= 3
This equation means that the distance is 3, either in the positive direction or the negative direction.
|2x-3|= 3 ⇒ l2x-3= 3 2x-3= - 3
To find the solutions to the absolute value equation, we need to solve both of these cases for x.
