1.3 - 1.5 Review

Front

What is the solution to the equation 5 - 6x = 13 - 6x?

Back

No solution, as both sides simplify to the same expression.

Front

How do you solve for 'a' in the equation 3u = 3a + 3?

Back

a = u - 1.

Front

What is the formula to solve for 'x' in the equation u = x - k - y?

Back

x = u + k + y.

Front

How do you isolate 'a' in the equation u = ak + b?

Back

a = (u - b) / k.

Front

What is the expression for 'a' when z = a + m?

Back

a = z - m.

Front

What does it mean for an equation to have 'no solution'?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

What is the first step in solving a linear equation?

Back

Isolate the variable on one side of the equation.

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 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

What is the significance of isolating a variable in an equation?

Back

It allows you to express one variable in terms of others, making it easier to solve for that variable.