Semester 1 Exam Review

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 find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

Solve for x: 6(2x + 1) = 18

Back

x = 1

Front

What does it mean for a function to have a domain of all real numbers greater than 7?

Back

It means that the function is defined for all x-values greater than 7, and does not include 7 or any negative numbers.

Front

Given the function f(x) = -5x - 6, what is f(-3)?

Back

f(-3) = 9

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the y-intercept of the line represented by the equation y = 4x + 3?

Back

The y-intercept is 3.

Front

How do you convert the equation y = 4x + 3 into standard form?

Back

To convert to standard form, rearrange to 4x - y = -3.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it moves (positive slope goes up, negative slope goes down).

Front

If a line has a slope of 1/2, what does this indicate about the rise and run?

Back

For every 2 units you move horizontally (run), the line rises 1 unit (rise).