Solving Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. 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 (usually x) that makes the equation true.

Front

What is the first step in solving the equation 5 + 3x = 8x - 15?

Back

The first step is to isolate the variable terms on one side of the equation. You can do this by subtracting 3x from both sides.

Front

Solve for x: 5 + 3x = 8x - 15

Back

x = 4

Front

What is the process to solve the equation 7x - 3x - 8 = 24?

Back

Combine like terms on the left side to simplify the equation, then isolate x.

Front

Solve for x: 7x - 3x - 8 = 24

Back

x = 8

Front

What is the importance of combining like terms in linear equations?

Back

Combining like terms simplifies the equation, making it easier to solve for the variable.

Front

Solve for x: 7x + 19 = -2x + 55

Back

x = 4

Front

What is the next step after combining like terms in the equation 8x + 2 + 3x + 5 = x + 12?

Back

After combining like terms, isolate the variable x by moving all x terms to one side and constant terms to the other.

Front

Solve for x: 8x + 2 + 3x + 5 = x + 12

Back

x = 1/2