Writing Linear Equations - 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 in a linear equation represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (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 linear equation from a word problem?

Back

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

Front

If Michael has $650 and withdraws $50 each week, how much will he have after 5 weeks?

Back

$400

Front

A plant is 5cm tall and grows at a rate of 3cm per month. Write the equation for its height after x months.

Back

y = 3x + 5

Front

What is the equation for the total cost to rent a paddle boat for h hours if the rental fee is $15 plus $2 per hour?

Back

C = 2h + 15

Front

If Nick spends $5 a day from $50, how can you express the amount left after x days?

Back

y = -5x + 50

Front

What does the term 'dependent variable' mean in a linear equation?

Back

The dependent variable is the variable that depends on the value of the independent variable, often represented as y in the equation.

Front

What does the term 'independent variable' mean in a linear equation?

Back

The independent variable is the variable that is changed or controlled in an experiment, often represented as x in the equation.