Unit 4: One Step Equations with Rational Numbers

A one-step equation is an algebraic equation that can be solved in a single step, typically by performing the same operation on both sides of the equation.

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

To solve an equation means to find the value of the variable that makes the equation true.

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Multiply both sides by 3 to isolate 'a': \( a = \frac{7}{9} \times 3 = \frac{7}{3} \).

Add 2.6 to both sides of the equation to isolate 'x': \( x = -4.6 + 2.6 \).

You can represent a situation with an equation by identifying the quantities involved and expressing their relationships using variables and constants.

The equation is \( x + 22.50 = 32 \), where 'x' is the amount of money received.

The equation is \( x + 55 = 145 \), where 'x' is the amount he still needs to save.

The equation is \( 1.15x = 5.75 \), where 'x' is the number of rolls.