Foundations of Algebra Final Exam

Front

What is the definition of an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Tags

CCSS.6.EE.B.8

Front

How do you graph an inequality on a number line?

Back

To graph an inequality on a number line, use an open circle for < or > and a closed circle for ≤ or ≥. Shade the region that represents the solution set.

Tags

CCSS.6.EE.B.8

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) is calculated as the rise (change in y) over the run (change in x), or m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

Given f(x) = 2x² + 5x - 17, find f(-1).

Back

f(-1) = 2(-1)² + 5(-1) - 17 = 2 - 5 - 17 = -20.

Tags

CCSS.HSF.IF.A.2

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.

Tags

CCSS.8.EE.B.5

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Tags

CCSS.8.EE.B.6

Front

How do you determine if two lines are neither parallel nor perpendicular?

Back

If the slopes of the two lines are different and their product is not -1, then the lines are neither parallel nor perpendicular.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What is the y-intercept of a line?

Back

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

Front

What is the x-intercept of a line?

Back

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

Front

How do you evaluate a function at a specific value?

Back

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

Tags

CCSS.HSF.IF.A.2