7.7A/8.5I Extra Practice

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 in a linear equation represent?

Back

The slope represents the rate of change of y with respect to x. It indicates how much y changes for a unit change in x.

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 an equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express that relationship in the form of an equation.

Front

What is the equation for a cost that includes a fixed fee and a variable cost?

Back

The equation can be written as c = mx + b, where c is the total cost, m is the variable cost per unit, x is the number of units, and b is the fixed fee.

Front

If a wedding planner charges a fixed fee plus a cost per guest, how would you express this mathematically?

Back

You would express it as c = mg + b, where c is the total cost, m is the cost per guest, g is the number of guests, and b is the fixed fee.

Front

What does it mean for y to be 'four more than one-half x'?

Back

It means that if you take half of x and add 4, you will get the value of y. This can be expressed as y = 0.5x + 4.

Front

How can you determine the relationship between two variables from a table?

Back

Look for patterns in the values of x and y. Determine if there is a consistent rate of change, which can help you formulate an equation.

Front

What is the significance of a graph in understanding relationships between variables?

Back

A graph visually represents the relationship between variables, making it easier to identify trends, slopes, and intercepts.

Front

What is the first step in solving a word problem involving equations?

Back

Read the problem carefully to understand what is being asked and identify the relevant information.