Solve Linear Equations

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form of y = mx + b.

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

Solve for x: 2x + 3 = 11

Back

x = 4

Front

What is a coefficient?

Back

The number in front of a variable.

Front

Solve for x: 5x - 7 = 18

Back

x = 5

Front

What is the first step in solving the equation x + 5 = 12?

Back

Subtract 5 from both sides.

Front

Solve for x: 3(x - 2) = 9

Back

x = 5

Front

What is the purpose of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.

Front

Solve for x: 4x + 1 = 17

Back

x = 4

Front

What does it mean to balance an equation?

Back

To keep both sides of the equation equal by performing the same operation on both sides.