Midterm Review- Algebra I

Front

What is the definition of a function in algebra?

Back

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

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 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

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

How do you evaluate a function f(x) at a specific value?

Back

To evaluate f(x), substitute the specific value of x into the function and simplify.

Front

What is the product of (a - b)(a + b)?

Back

The product is a² - b², known as the difference of squares.

Front

How do you convert from point-slope form to slope-intercept form?

Back

Start with y - y1 = m(x - x1) and solve for y to get y = mx + (y1 - mx1).

Front

What is the definition of the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you find the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the formula for the area of a rectangle?

Back

The area A is calculated as A = length × width.