Linear Word Problems

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you represent a relationship between two variables in a linear equation?

Back

A linear equation can be represented in various forms, including Slope-Intercept Form, Standard Form, and Point-Slope Form.

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).

Front

What is the Standard Form of a linear equation?

Back

The Standard Form is given by Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you write a linear equation from a word problem involving total cost?

Back

Identify the fixed cost and the variable cost per item, then use the Slope-Intercept Form to write the equation.

Front

If a pizza parlor charges $1.75 per topping, how would you express the total cost for x toppings?

Back

The total cost can be expressed as y = 1.75x.

Front

What is the equation for the total distance traveled if you start at a distance d and travel at a speed s for t hours?

Back

The equation is y = st + d.

Front

How do you convert a word problem about coins into a linear equation?

Back

Identify the values of each type of coin and their total value, then set up an equation based on their quantities.

Front

What does it mean if a linear equation has no solution?

Back

It means that the lines represented by the equations are parallel and will never intersect.