Algebra 1-1 Final Review

Front

What is the formula to find the slope of a line between two points?

Back

The slope (m) is calculated using the formula: m = \frac{y_2 - y_1}{x_2 - x_1}.

Front

How do you find the x-intercept of the equation 6x - 3y = 12?

Back

To find the x-intercept, set y = 0 and solve for x. The x-intercept is x = 2.

Front

How do you find the y-intercept of the equation 6x - 3y = 12?

Back

To find the y-intercept, set x = 0 and solve for y. The y-intercept is y = -4.

Front

What is an exponential decay function?

Back

An exponential decay function is a function of the form f(x) = a(b^x) where 0 < b < 1. Example: f(x) = (\frac{2}{3})^x.

Front

What is the point-slope form of a linear equation?

Back

The point-slope form is given by y - y_1 = m(x - x_1), where m is the slope and (x_1, y_1) is a point on the line.

Front

Write the equation of a line with slope 2 passing through the point (4, -1).

Back

The equation is y + 1 = 2(x - 4).

Front

What type of number is 15π?

Back

15π is classified as a Real, Irrational number.

Front

What is the difference between a rational and an irrational number?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a simple fraction.

Front

How do you determine if a function is exponential growth or decay?

Back

If the base of the exponential function is greater than 1, it is growth; if the base is between 0 and 1, it is decay.

Front

What is the slope of the line between the points (2, 6) and (4, 11)?

Back

The slope is m = \frac{11 - 6}{4 - 2} = \frac{5}{2}.