Front

What is a linear equation?

Back

A linear equation is an equation that represents 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 't' represent in the context of tree growth problems?

Back

In tree growth problems, 't' typically represents the number of years after which the heights of the trees are compared.

Front

How do you set up an equation for two objects growing at different rates?

Back

To set up the equation, express the height of each object as a function of time and set them equal to each other to find when they are the same height.

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients in a linear equation represent the rate of change or growth of the variables involved.

Front

How do you represent the total value of coins in an equation?

Back

The total value of coins can be represented by multiplying the number of each type of coin by its value and summing these products.

Front

What does 'y' represent in coin problems?

Back

In coin problems, 'y' often represents the number of a specific type of coin, such as nickels or dimes.

Front

How do you express the relationship between different types of coins?

Back

You can express the relationship by creating equations that relate the quantities of different coins based on given conditions.

Front

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

Back

The first step is to identify the variables and what they represent in the context of the problem.

Front

What does it mean when a problem states 'five less than three times'?

Back

It means to take three times a number and then subtract five from that product.

Front

How do you convert a word problem into a mathematical equation?

Back

Translate the words into mathematical expressions using variables for unknowns and operations for relationships.