Grade 6 Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does it mean to solve a linear equation?

Back

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

Front

What is the first step in solving the equation -11b + 4 = 59?

Back

The first step is to isolate the variable term by subtracting 4 from both sides, resulting in -11b = 55.

Front

How do you isolate the variable in the equation 20 + 8x = 76?

Back

Subtract 20 from both sides to get 8x = 56, then divide by 8 to find x.

Front

What is the solution to the equation 4x + 9 = -91?

Back

The solution is x = -25.

Front

What is the process to solve the equation 6 + 4c = 34?

Back

Subtract 6 from both sides to get 4c = 28, then divide by 4 to find c.

Front

What does 'c' represent in the equation 4x + 9 = -91?

Back

In this context, 'c' represents the constant term that is added to the variable term.

Front

What is the significance of the coefficient in a linear equation?

Back

The coefficient is the number that multiplies the variable, indicating how many times the variable is counted.

Front

What is the solution to the equation 20 + 8x = 76?

Back

The solution is x = 7.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is ax + by = c, where a, b, and c are constants.