Algebra 1 Midterm Review

Front

What is the interval for which a function is decreasing?

Back

A function is decreasing on an interval if, as x increases, the function's value decreases. For example, the function f(x) is decreasing on the interval (-∞, 0).

Front

How do you determine earnings based on hours worked?

Back

To determine earnings based on hours worked, you can use a linear equation. For example, if $500 is earned for every 8 hours worked, the rate is $500/8 = $62.50 per hour.

Front

Solve for x: 2x - 3 + 4x = 27

Back

x = 5. Combine like terms to get 6x - 3 = 27, then add 3 to both sides and divide by 6.

Front

How do you set up an inequality for a budget constraint?

Back

To set up an inequality for a budget constraint, express the total cost as less than or equal to the budget. For example, for a taxi ride: 1.75 + 0.65m < 10.

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the ratio of the change in the y-values to the change in the x-values, often represented as 'rise over run'. For example, if the rate of change is 40, it means for every unit increase in x, y increases by 40.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the function's value also increases.

Front

Define a linear equation.

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the significance of the flat rate in a taxi fare?

Back

The flat rate is a fixed charge that is added to the total cost of the ride, regardless of the distance traveled.