Col Alg Final Exam Mock

Front

Write the equation in slope-intercept form through (4, -5) and (-4, -1)

Back

y = -1/2x - 3

Front

Solve the equation: 5 ln(x) = 7. Round your answer to two decimal places.

Back

x = 4.06

Front

Solve the equation: 81^(x-3) = (3)^(5x-6)

Back

x = -6

Front

Find g(h(x)) for g(x)=3x+4 and h(x)=3x-1

Back

g(h(x)) = 9x + 1

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the natural logarithm of a number?

Back

The natural logarithm, denoted as ln(x), is the logarithm to the base e, where e is approximately 2.718.

Front

What is the definition of a composite function?

Back

A composite function is formed when one function is applied to the result of another function, denoted as (f ∘ g)(x) = f(g(x)).

Front

What is the exponential form of an equation?

Back

An exponential equation is of the form a^x = b, where a is the base, x is the exponent, and b is the result.

Front

What does it mean to round a number to two decimal places?

Back

Rounding to two decimal places means adjusting the number so that it has only two digits after the decimal point.