EOC Algebra 1 Word Problems

Front

What is a rate problem in algebra?

Back

A rate problem involves finding a relationship between two quantities, often expressed as a ratio, such as speed, cost per item, or work done per hour.

Front

How do you set up an equation for a word problem?

Back

Identify the variables, translate the words into mathematical expressions, and set up an equation based on the relationships described in the problem.

Front

If McKinley plowed 6 acres in 1 hour, how do you find the time to plow 21 acres?

Back

Use the rate: 6 acres/hour. Set up the equation: time = total acres / rate = 21 acres / (6 acres/hour) = 3.5 hours.

Front

What is the formula for total cost in a word problem involving multiple items?

Back

Total cost = (cost per item 1 * quantity 1) + (cost per item 2 * quantity 2) + ...

Front

How do you determine the cost of an item from a system of equations?

Back

Solve the system of equations simultaneously to find the values of the variables representing the costs.

Front

What is the significance of the slope 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.

Front

How do you calculate the cost per hour if a rental shop charges a flat fee plus a per-hour rate?

Back

Total cost = flat fee + (hourly rate * number of hours). Rearrange to find the number of hours.

Front

What does the vertex of a quadratic function represent in a word problem?

Back

The vertex represents the maximum or minimum point of the function, which can indicate the highest point of a projectile or the lowest cost.

Front

How do you find the time it takes for an object to hit the ground using a quadratic function?

Back

Set the function equal to zero and solve for the variable representing time.

Front

What is the relationship between total money spent and the cost of items in a word problem?

Back

The total money spent is equal to the sum of the costs of all items purchased.