Linear Word Problems

Front

What is a linear word problem?

Back

A linear word problem is a mathematical problem that can be represented by a linear equation, typically involving relationships between variables that can be expressed in a straight line on a graph.

Front

How do you identify the variables in a linear word problem?

Back

Variables are usually quantities that can change or vary, often represented by letters like x or y. Identify what the problem is asking for and what quantities are involved.

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What is the first step in solving a linear word problem?

Back

The first step is to read the problem carefully and identify the key information, including the variables, constants, and what is being asked.

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What does the slope represent in a linear equation?

Back

The slope represents the rate of change between the two variables in the equation, indicating how much one variable changes for a unit change in the other.

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What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is zero, representing the starting point of the relationship between the variables.

Front

Write the equation for total cost if admission is $5 and each ride costs $0.50 for a total of $20.

Back

y = 5 + 0.5x, where x is the number of rides.

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If a car rental charges $8.50 per hour plus a $25.50 fee, how would you express the total cost for x hours?

Back

y = 25.5 + 8.5x.

Front

How do you represent Jerry's total money after working x hours at $7 per hour starting with $20?

Back

y = 7x + 20.

Front

What is the equation for Bob's savings if he starts with $150 and saves $40 each month?

Back

y = 40x + 150.

Front

If joining a dancing club costs $30 plus $4 per month, how do you express the total cost after x months?

Back

y = 30 + 4x.