Solving Equations and Slope

Front

What is the solution to the equation 8 - 3a + 12 = 2a?

Back

a = 4

Front

How do you find the slope of a line given two points?

Back

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

Front

What is the solution to the equation 7(1 + 2n) = -105?

Back

n = -8

Front

What is the slope of the line represented by the points (2, 3) and (5, 1)?

Back

Slope = -2/3

Front

What is the solution to the equation 2a + 4 = 7 + a?

Back

a = 3

Front

Define 'slope' in the context of a linear equation.

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change to the horizontal change.

Front

What is the slope of a line that rises 5 units for every 2 units it runs?

Back

Slope = 5/2

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What is the solution to the equation 3x - 5 = 7?

Back

x = 4

Front

How do you isolate a variable in an equation?

Back

Perform inverse operations to both sides of the equation until the variable is alone.