Algebra 2 Semester Exam

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 is the equation of a line that passes through the points (4, 7) and (0, -5)?

Back

y = 3x - 5.

Front

What does the term 'factoring' mean in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is the difference of two squares?

Back

The difference of two squares is a special factoring technique that applies to expressions of the form a^2 - b^2, which can be factored as (a + b)(a - b).

Front

Back

(x + 5)(x - 5).

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

Identify the inequality: y > x + 1.

Back

This inequality states that y is greater than the expression x + 1.

Front

What is the solution to the equation 2x - 3 = 1?

Back

x = 2.

Front

What is the purpose of graphing a linear equation?

Back

Graphing a linear equation visually represents the relationship between the variables, allowing for easier interpretation of solutions.