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

In the equation Q + R = H, how do you isolate R?

Back

To isolate R, subtract Q from both sides of the equation: R = H - Q.

Front

What is the first step to solve the equation w = g + 7 for g?

Back

The first step is to subtract 7 from both sides of the equation: g = w - 7.

Front

How do you solve for x in the equation y = x - 9?

Back

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

Front

In the equation ax + r = 7, what is the process to solve for r?

Back

To solve for r, subtract ax from both sides: r = 7 - ax.

Front

What is the formula to solve for T in the equation M = T - R?

Back

To solve for T, add R to both sides: T = M + R.

Front

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

Back

Isolating a variable allows you to express it in terms of other variables or constants, making it easier to understand relationships and solve problems.

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form of y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides are equal, meaning that any operation performed on one side must also be performed on the other side to maintain equality.

Front

What is the principle of inverse operations in solving equations?

Back

The principle of inverse operations states that to undo an operation, you perform the opposite operation (e.g., addition and subtraction are inverses of each other).