Solving Equations

Front

What is the first step to solve the equation \( \frac{x}{-4} = 9 \)?

Back

Multiply both sides by -4.

Front

What is the solution for \( m \) in the equation \( m - 7 + 5m = 11 \)?

Back

m = 3.

Front

What is the first step to solve the equation \( -3x - 11 = 44 \)?

Back

Add 11 to both sides.

Front

What is the solution for \( m \) in the equation \( -10(2m + 1) = -50 \)?

Back

m = 2.

Front

True or False: To solve \( \frac{g}{-8} - 6 = -12 \), you would add 6 to each side then multiply by -8 on each side.

Back

True.

Front

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

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the principle of balancing equations when solving for a variable?

Back

Whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

How do you solve an equation with a fraction, such as \( \frac{x}{-4} = 9 \)?

Back

Multiply both sides by the denominator to eliminate the fraction.

Front

What is the solution method for equations that involve distributing a term, like \( -10(2m + 1) = -50 \)?

Back

Distribute the term and then solve the resulting equation.

Front

What is the importance of checking your solution after solving an equation?

Back

To verify that the solution satisfies the original equation.