Algebra 1 Midterm

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

What does the y-intercept represent in a linear equation?

Back

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

Front

What is an absolute value function?

Back

An absolute value function is a function that outputs the distance of a number from zero, represented as f(x) = |x|.

Front

How can you determine if a system of equations has no solution?

Back

A system of equations has no solution if the lines are parallel, meaning they have the same slope but different y-intercepts.

Front

What is the explicit formula for an arithmetic sequence?

Back

The explicit formula for an arithmetic sequence is a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference.

Front

How do you identify the slope and y-intercept from the equation y = mx + b?

Back

In the equation y = mx + b, m represents the slope and b represents the y-intercept.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the amount added to each term to get to the next term in the sequence.

Front

What is the equation of a line with a slope of 3 and a y-intercept of -2?

Back

The equation is y = 3x - 2.

Front

How do you graph a linear equation in slope-intercept form?

Back

Start by plotting the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.