Algebra 1 Review

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line. It is calculated as the ratio of the rise (change in y) over the run (change in x).

Front

What are the types of slope?

Back

1. Positive Slope: Line rises from left to right. 2. Negative Slope: Line falls from left to right. 3. Zero Slope: Horizontal line, no rise. 4. Undefined Slope: Vertical line, no run.

Front

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

Back

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

Front

What is the slope of the line that passes through the points (8, 4) and (5, 3)?

Back

The slope is 1/3.

Front

How do you solve the equation 3x + 7 = -8?

Back

Subtract 7 from both sides: 3x = -15. Then divide by 3: x = -5.

Front

What is the correct way to distribute in the expression 3(x - 4)?

Back

3(x - 4) = 3x - 12.

Front

What is the solution to the equation -20 = \frac{x - 3}{6}?

Back

x = -117.

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

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

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 slope-intercept form.