Solving Equations

Front

What is the first step in solving the equation: 5x + 7 = 12?

Back

Subtract 7 from both sides to isolate the term with x.

Front

Solve the equation: -3w = 30

Back

w = -10.

Front

What operation would you perform first when solving for m in the equation 10 + 7m = 17?

Back

Subtract 10 from both sides.

Front

What is the solution of the equation 25 + k = 18?

Back

k = -7.

Front

Solve the equation: 27 = 5r + 2

Back

r = 5.

Front

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

Back

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

Front

What does it mean to 'balance' an equation?

Back

Performing the same operation on both sides of the equation to maintain equality.

Front

What is the inverse operation of addition?

Back

Subtraction.

Front

What is the inverse operation of multiplication?

Back

Division.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation.