Solving Equations Review

Front

What is the first step to solve the equation 3x + 15 - 7x = -7?

Back

Combine like terms on the left side: -4x + 15 = -7.

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

How do you isolate the variable in the equation -20 = -4x - 6x?

Back

Combine like terms on the right side: -20 = -10x, then divide by -10 to find x.

Front

What is the solution to the equation -8 = -(2x + 4)?

Back

x = 2.

Front

What is the solution to the equation 4 + x - 17 = 22?

Back

x = 35.

Front

What does it mean to 'solve for x'?

Back

It means to find the value of x that makes the equation true.

Front

What is the process of checking your solution in an equation?

Back

Substitute the value of x back into the original equation to see if both sides are equal.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form ax + b = c.

Front

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

Back

It simplifies the equation, making it easier to solve.

Front

What does the term 'identity' mean in the context of equations?

Back

An identity is an equation that is true for all values of the variable.