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 that makes the equation true.

Front

What is the first step in solving the equation 8x - 10 = -34?

Back

Add 10 to both sides to isolate the term with the variable.

Front

Solve for x: 8x - 10 = -34

Back

x = -3

Front

What is the process of combining like terms in an equation?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

Solve for x: 2x - 3 + 4x = 27

Back

x = 5

Front

What is the importance of isolating the variable in an equation?

Back

Isolating the variable allows you to solve for its value by getting it alone on one side of the equation.

Front

Solve for x: 52 = -5x - 3

Back

x = -11

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

Solve for v: 8v - 4(v + 8) = 8

Back

v = 10