Solving for a Variable

Front

What does it mean to 'solve for a variable'?

Back

To 'solve for a variable' means to isolate the variable on one side of the equation, expressing it in terms of other variables or constants.

Front

What is the first step in solving the equation 2m - 6 = 4n for n?

Back

The first step is to add 6 to both sides of the equation to isolate the term with n.

Front

How do you isolate n in the equation S = 6n - 12?

Back

To isolate n, add 12 to both sides and then divide by 6.

Front

What is the formula for solving for g in the equation w = g + 7?

Back

To solve for g, subtract 7 from both sides: g = w - 7.

Front

In the equation y = x - 9, how do you solve for x?

Back

To solve for x, add 9 to both sides: x = y + 9.

Front

What is the process to solve for d in the equation 2d - 1 = s?

Back

Add 1 to both sides and then divide by 2: d = (s + 1) / 2.

Front

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

Back

Balancing equations ensures that both sides remain equal after performing operations, which is essential for finding the correct value of the variable.

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form ax + b = c.

Front

What does it mean to rearrange an equation?

Back

Rearranging an equation involves changing the order of terms or isolating a specific variable to make the equation easier to solve.

Front

What is the significance of coefficients in an equation?

Back

Coefficients are the numerical factors that multiply the variables; they affect the slope and position of the line represented by the equation.