Equations with variable on both sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

Solve for x: 10x + 9 = 4x - 9

Back

x = -3

Front

What is the first step in solving an equation with variables on both sides?

Back

Combine like terms and move all variable terms to one side of the equation.

Front

Solve for r: 4(3r + 4) = −8(2r + 5)

Back

r = -2

Front

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

Back

To manipulate the equation so that the variable is alone on one side, making it easy to find its value.

Front

Solve for x: 7x = 3x + 24

Back

x = 6

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: 4(1-x) + 3x = -2(x+1)

Back

x = -6

Front

What is a linear equation?

Back

An equation that graphs to a straight line, typically in the form y = mx + b.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6