Word problems - Algebra 1

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 determine the total cost in a word problem involving fixed and variable costs?

Back

Add the fixed cost to the product of the variable cost per unit and the number of units.

Front

What does it mean to write an equation in standard form?

Back

An equation is in standard form if it is written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How can you find the number of months until a total cost reaches a certain amount?

Back

Set up an equation based on the total cost and solve for the variable representing months.

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 is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

How do you solve a system of equations to find ticket prices?

Back

Use substitution or elimination methods to solve for the variables representing the prices.

Front

What is the meaning of 'fixed cost' in a word problem?

Back

Fixed cost refers to a cost that does not change regardless of the number of goods or services produced.

Front

What is a variable cost?

Back

Variable cost is a cost that varies with the level of output or sales.

Front

How do you convert a word problem into a mathematical equation?

Back

Identify the quantities involved, define variables, and translate the relationships into an equation.