Solving Linear Equations

Front

Solve for x: 4x + 1 = 7x - 5

Back

x = 2

Front

Solve: 2(2x + 3) = -6(x + 9)

Back

x = -6

Front

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

Back

x = 4

Front

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

Back

x = 0.5

Front

Solve for x: 2 - 4x = 3x - 12

Back

x = 2

Front

What is a linear equation?

Back

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

Front

What does it mean to solve an equation?

Back

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

Front

What is the first step in solving the equation 4x + 1 = 7x - 5?

Back

Subtract 4x from both sides to isolate the variable.

Front

What is the solution to the equation 2x + 3 = 7?

Back

x = 2

Front

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

Back

Isolating the variable allows you to find its value and understand the relationship between the variables.