Alg 2 Review

Front

What is the solution to the inequality: 2x < -3x + 15?

Back

x < 3

Front

If a DJ charges $125 per hour and offers a $55 discount for advance payment, which inequality represents the maximum hours (x) the DJ can play if the total cost must be under $600?

Back

125x - 55 < 600

Front

What is the x-intercept of the line represented by the equation y = 2x + 2?

Back

(-1, 0)

Front

Determine the slope and y-intercept of the line given by the equation y = \frac{3}{2}x + 3.

Back

slope: \frac{3}{2}, y-intercept: (0, 3)

Front

What is the y-intercept of the equation 5x + y = -4?

Back

(0, -4)

Front

Define the slope of a line.

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

slope = \frac{y2 - y1}{x2 - x1}

Front

What does the y-intercept represent in a linear equation?

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

How do you convert the standard form of a linear equation Ax + By = C to slope-intercept form?

Back

Rearrange to solve for y: y = -\frac{A}{B}x + \frac{C}{B}.

Front

What is the significance of the inequality symbol in mathematical expressions?

Back

Inequality symbols indicate the relationship between two expressions, showing whether one is greater than, less than, or equal to the other.