Foundations in Algebra Mixed Review #2

Front

What are the coordinates of the y-intercept?

Back

(0, -3) - The y-intercept is the point where the line crosses the y-axis.

Front

Find the slope given the points (1,4) and (5,9).

Back

5/4 - Slope is calculated as (y2 - y1) / (x2 - x1).

Front

Simplify: (5p^9q^3)(2pq^7)

Back

10p^10q^10 - Multiply coefficients and add exponents of like bases.

Front

Does the equation Y = -3x^2 + 7x - 2 open up or down?

Back

down - The coefficient of x^2 is negative, indicating it opens down.

Front

Find the slope of the line that is horizontal.

Back

0 - A horizontal line has a slope of 0.

Front

What is the formula for the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1) - This formula calculates the steepness of a line.

Front

What does it mean if a slope is undefined?

Back

An undefined slope indicates a vertical line, where x does not change.

Front

How do you find the y-intercept from an equation?

Back

Set x = 0 in the equation and solve for y.

Front

What is the standard form of a linear equation?

Back

Ax + By = C - A, B, and C are integers, and A should be non-negative.

Front

What is the difference between a positive and negative slope?

Back

A positive slope rises from left to right, while a negative slope falls from left to right.