Algebra 2 Review Oct 2022

Front

Given \( ax - b = c \), solve for \( x \).

Back

\( x = \frac{c + b}{a} \)

Front

Solve for \( x \): \( 2^{2x + 3} = 128 \).

Back

\( x = 2 \)

Front

Find the distance between the points (1, 2) and (4, 6).

Back

Distance = \( 7.81 \)

Front

Solve for \( p \): \( 4^{p + 2} = 64 \).

Back

\( p = 1 \)

Front

What is the range of the exponential function \( f(x) = a^x \)?

Back

Range: \( y > 0 \)

Front

What is the definition of a linear equation?

Back

A linear equation is an equation of the form \( ax + b = 0 \), where \( a \neq 0 \).

Front

What is the quadratic formula?

Back

The quadratic formula is \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) for the equation \( ax^2 + bx + c = 0 \).

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

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

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and never intersect.