Solving equations Review

Front

What does it mean when an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation. For example, in the equation x + 2 = x + 4, both sides cannot be equal for any value of x.

Front

Solve the equation: 7x + 19 = -2x + 55

Back

x = 4

Front

What is the solution to the equation 7w + 5 = 3w - 15?

Back

w = -5

Front

Solve the equation: 10x + 9 = 4x - 9

Back

x = -3

Front

What is the solution to the equation 3x + 7 = -8?

Back

x = -5

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value in an equation.

Front

What does it mean for an equation to have infinitely many solutions?

Back

It means that there are countless values for the variable that can satisfy the equation, often occurring when both sides of the equation are identical.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with the variable.

Front

What is the principle of balancing equations?

Back

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

Front

How do 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.