Units 3 and 4 Review

Front

What is the formula to calculate earnings based on hourly wage?

Back

Earnings (y) = Hourly Wage (w) * Hours Worked (x)

Front

If Katrina earns $58.50 for 5 hours of work, what is her hourly wage?

Back

Hourly Wage = $58.50 / 5 hours = $11.70 per hour.

Front

What is the total cost of admission and rides at an amusement park?

Back

Total Cost (c) = Admission Fee + (Cost per Ride * Number of Rides) = $12 + ($2.50 * r) where r is the number of rides.

Front

How do you represent a linear relationship in an equation?

Back

A linear relationship can be represented as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What is the y-intercept in the equation y = -\frac{1}{2}x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

How do you solve the equation -3x + 7 = -14 for x?

Back

Add 3x to both sides: 7 = 3x - 14; then add 14: 21 = 3x; divide by 3: x = 7.

Front

What is the equation to find the balance of a bank account after spending a fixed amount weekly?

Back

y = -25x + 1,250, where y is the balance after x weeks.

Front

What does it mean if an equation has a negative slope?

Back

A negative slope indicates that as x increases, y decreases.

Front

How can you represent a situation where a fixed cost is added to a variable cost?

Back

Total Cost = Fixed Cost + Variable Cost * Quantity.