Solving Equations with variables on both sides

Front

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

Back

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

Front

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

Back

x = -3

Front

What does it mean if an equation has 'no solution'?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

Solve for g: 6(5g + 2) = 30g

Back

No solution.

Front

What is the goal when solving equations?

Back

To find the value of the variable that makes the equation true.

Front

Solve for f: f - 4 = 6f + 26

Back

f = -6

Front

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

Back

It simplifies the equation, making it easier to solve.

Front

Solve for a: 8 - 3a + 12 = 2a

Back

a = 4

Front

What does it mean to 'isolate the variable'?

Back

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

Front

Solve for a: 22 + 2a = 37 + 6 + a

Back

a = 21