4.5 Solving Equations with Rational Numbers

Front

What is a rational number?

Back

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

Front

How do you isolate a variable in an equation?

Back

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

Front

Solve for w: w/2.36 = 1.5

Back

w = 3.54

Front

What is the first step to solve the equation x + 3.8 = 16?

Back

Subtract 3.8 from both sides to isolate x.

Front

Solve for x: x + 3.8 = 16

Back

x = 12.2

Front

What does it mean to write an equation to represent a scenario?

Back

It means to create a mathematical statement that describes the relationship between quantities in the scenario.

Front

Write an equation for the height difference between Matt and his brother: Matt is 4.75 feet tall, his brother is 6.23 feet tall.

Back

x + 4.75 = 6.23

Front

Solve for m: 4.5 = 2.5m

Back

m = 1.8

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations applied to a variable, helping to isolate it.

Front

If you have the equation 2x = 10, how do you solve for x?

Back

Divide both sides by 2 to get x = 5.