HA: 12.word problem equations test prep

Front

What does the equation y = -25x + 120 represent in a real-world context?

Back

It represents a situation where there are 120 gallons of water in a tank, and it releases water at a rate of 25 gallons per minute.

Front

In the equation y = 1.5x + 20, what does the coefficient 1.5 represent?

Back

The coefficient 1.5 represents the price per ride at the amusement park.

Front

How do you find three consecutive odd integers whose sum is a specific number?

Back

Let the first odd integer be x. The next two would be x+2 and x+4. Set up the equation x + (x+2) + (x+4) = sum and solve for x.

Front

What is the equation for the total cost of a holiday meal for x people, given a cost of $12.50 per person and a $30 delivery fee?

Back

The equation is y = 12.5x + 30.

Front

How do you calculate the total cost for 50 shirts if the equation is y = 8x + 15?

Back

Substitute x with 50: y = 8(50) + 15 = 400 + 15 = 415.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the variable 'x' typically represent in word problems involving equations?

Back

The variable 'x' usually represents the quantity or number of items being solved for in the problem.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the relationship described by the equation.

Front

How can you determine if a situation can be modeled by a linear equation?

Back

Check if the relationship between the variables is constant, meaning that for every unit increase in one variable, the other variable changes by a fixed amount.

Front

What is the formula to find the sum of three consecutive odd integers?

Back

Let the first odd integer be x. The sum is x + (x + 2) + (x + 4) = 3x + 6.