5.1B Decimal Equations

Front

What is a decimal equation?

Back

A decimal equation is an equation that includes decimal numbers and variables, where the goal is to find the value of the variable.

Front

How do you combine like terms in a decimal equation?

Back

To combine like terms, add or subtract the coefficients of the same variable. For example, in 9.6x - 17.3x, combine to get -7.7x.

Front

What is the first step to solve the equation 9.6x - 17.3x = -77?

Back

The first step is to combine like terms on the left side: 9.6x - 17.3x = -7.7x.

Front

How do you isolate the variable in the equation -7.7x = -77?

Back

Divide both sides by -7.7 to isolate x: x = -77 / -7.7.

Front

What is the solution to the equation 4.2x + 3.9x = -40.5?

Back

Combine like terms to get 8.1x = -40.5, then divide by 8.1 to find x = -5.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if the variable cancels out and results in a false statement, such as 0 = 5.

Front

How do you solve the equation -4.1x - 2.9x - 8.9x = -127.2?

Back

Combine like terms to get -15.9x = -127.2, then divide by -15.9 to find x = 8.

Front

What is the process to solve -1.4x - 16x = 34.8?

Back

Combine like terms to get -17.4x = 34.8, then divide by -17.4 to find x = -2.

Front

What is the solution to the equation -6.7x + 2.1x = 13.8?

Back

Combine like terms to get -4.6x = 13.8, then divide by -4.6 to find x = -3.

Front

What is a coefficient in a decimal equation?

Back

A coefficient is a numerical factor that multiplies a variable, such as 9.6 in 9.6x.