12.12 SE Review

Front

What is an inequality?

Back

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

To solve the inequality, first isolate x: 1. Subtract 14 from both sides: -4x ≤ 40 2. Divide by -4 (remember to flip the inequality sign): x ≥ -10.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run). It is often represented as m in the equation of a line: y = mx + b.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

If the outside temperature at 4:00 p.m. was 8 degrees Celsius and decreased by 2.5 °C each hour, what is the formula to find the temperature at any hour t?

Back

The formula is: Temperature = 8 - 2.5t, where t is the number of hours after 4:00 p.m.

Front

What is the solution to the inequality 6 > x?

Back

The solution is x < 6, meaning x can be any number less than 6.

Front

How do you interpret the slope of a line represented in a table?

Back

The slope can be found by selecting two points from the table and using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

What does it mean if a slope is 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.