Solving Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

What is the variable in an equation?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and all other terms on the opposite side.

Front

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

Back

The first step is to subtract 3 from both sides of the equation to get 2x = 8.

Front

If you have the equation x/4 = 2, how do you solve for x?

Back

Multiply both sides by 4 to get x = 8.

Front

What is the slope in a linear equation?

Back

The slope is a number that describes the steepness and direction of a line. It is represented by 'm' in the equation y = mx + b.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the equation y = mx + b.

Front

How can you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the equation to find the cost of mailing a letter based on weight?

Back

The cost can be expressed as C = 0.39 + 0.24(x - 1), where x is the total weight in ounces.