Standard Form Word Probs

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 write an equation for a word problem involving two variables?

Back

Identify the variables, determine the costs or constraints, and set up an equation that represents the relationship between them.

Front

If a car rental charges $8.50 per hour plus a $25.50 fee, how would you express this in slope-intercept form?

Back

y = 8.5x + 25.5, where y is the total cost and x is the number of hours.

Front

What does the term 'standard form' refer to in linear equations?

Back

Standard form refers to the equation of a line written as Ax + By = C, where A, B, and C are integers.

Front

Write the equation for a budget of $28 spent on Tech-decks ($7 each) and Takis ($4 each).

Back

7x + 4y = 28, where x is the number of Tech-decks and y is the number of Takis.

Front

How do you determine the maximum number of items you can buy with a fixed budget?

Back

Set up an equation based on the costs of the items and solve for the variables representing the quantities.

Front

What is the equation for spending $18 on Uber Eats credits ($1 each) and hats ($2 each)?

Back

x + 2y = 18, where x is the number of Uber Eats credits and y is the number of hats.

Front

If a holiday meal costs $12.50 per person plus a $30 delivery fee, how is this represented in slope-intercept form?

Back

y = 12.5x + 30, where y is the total cost and x is the number of people.

Front

Write the equation for Amy's Halloween party budget of $45 for soda ($4 each) and pizza ($8 each).

Back

4x + 8y = 45, where x is the number of cases of soda and y is the number of pizzas.

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 line on the graph.