Algebra 1 Semester Exam Mixed Review

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

Simplify the expression: -1 + 8d + 2d - 5

Back

10d - 6.

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (x, 0).

Front

How do you find the x-intercept of the equation 2x + 3y = 6?

Back

Set y = 0 and solve for x: 2x = 6, so x = 3. The x-intercept is (3, 0).

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an algebraic expression means to combine like terms and reduce it to its simplest form.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the formula for the slope-intercept form of a line?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if a slope is positive, negative, or zero?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a zero slope is a horizontal line.

Front

What is the result of combining like terms in the expression 9c - 6 - 12c + 4?

Back

The result is -3c - 2.