Algebra 1 Review

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the rise (change in y) over the run (change in x). It is often denoted as 'm' in the equation of a line, y = mx + b.

Front

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

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does the equation y ≤ -4x represent graphically?

Back

This inequality represents a region on the graph where the y-values are less than or equal to the values of -4 times the x-values, including the line itself.

Front

What is the equation of a line in slope-intercept form?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y: y = -A/B * x + C/B.

Front

What is the meaning of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of 'b' in the slope-intercept form y = mx + b.

Front

If Emily makes $10 per hour and her paycheck is $370, what equation represents her earnings?

Back

The equation representing Emily's earnings is 10h = 370, where h is the number of hours worked.

Front

What is the solution to the equation 10h = 370?

Back

To find h, divide both sides by 10: h = 370 / 10 = 37 hours.

Front

What is the equivalent form of the equation 6x + 2y = 28?

Back

The equivalent form is y = -3x + 14.

Front

How do you determine if a point lies on a line represented by an equation?

Back

To determine if a point (x, y) lies on the line, substitute the x-value into the equation and see if the resulting y-value matches the y-value of the point.