Linear Equations and Real World Word Problems

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 the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How do you write a function from a word problem?

Back

Identify the quantities involved, determine the relationship between them, and express it in the form of an equation or function.

Front

If y = 20x, what does this function represent in a real-world context?

Back

This function represents that for every row (x) of bricks laid, 20 bricks are used, making y the total number of bricks.

Front

What is the first step to solve the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with x.

Front

In the equation 4 + 9x = 472, what does x represent?

Back

x represents the number of students in each bus.

Front

What does it mean to multiply both sides of an equation by the same number?

Back

It means to keep the equation balanced by performing the same operation on both sides.

Front

How do you determine which linear function has a steeper slope?

Back

Compare the coefficients of x in the equations; the larger the coefficient, the steeper the slope.

Front

What is the solution to the equation 3x = 12?

Back

x = 4, because you divide both sides by 3.