Variables on both sides

Front

What is a variable in an equation?

Back

A symbol, often represented by letters, that stands for an unknown value in an equation.

Front

What does it mean to solve an equation with variables on both sides?

Back

It means to find the value of the variable that makes both sides of the equation equal, often requiring rearranging the equation.

Front

Solve: -3x + 20 = 2x - 40

Back

x = 12

Front

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

Back

Isolate one variable by moving terms involving that variable to one side of the equation.

Front

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

Back

x = -6

Front

What operation did Jacob perform to get from Step 1 to Step 2 in his solution?

Back

Subtracted 2x from both sides of the equation.

Front

Solve: 5y + 34 = -2(-7y+1)

Back

y = 4

Front

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

Back

To simplify the equation and make it easier to solve.

Front

Solve: 12x + 1 = 6x - 47

Back

x = -8

Front

What does it mean to isolate a variable?

Back

To manipulate the equation so that the variable is alone on one side of the equation.