Solving Equations (8th Grade)

Front

What is the first step to solve the equation 2x + 1 = 5?

Back

Subtract 1 from both sides to isolate the term with x.

Front

How do you isolate the variable in the equation 3x = -27?

Back

Divide both sides by 3.

Front

What does it mean if an equation has infinite solutions?

Back

It means that any value of the variable satisfies the equation.

Front

What is the solution to the equation x + 3 = -x - 5?

Back

x = -4.

Front

What does it indicate if an equation has no solution?

Back

It means that there is no value of the variable that can satisfy the equation.

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.

Front

What is the solution to the equation 5(x + 1) = 5x + 2?

Back

No solution.

Front

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

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the importance of simplifying both sides of an equation before solving?

Back

It makes it easier to isolate the variable and find the solution.

Front

What does it mean to combine like terms in an equation?

Back

It means to add or subtract terms that have the same variable raised to the same power.