Algebra 1 - Fall Final Exam Review

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the common ratio in the sequence 7, 21, 63, 189?

Back

The common ratio is 3.

Front

How do you write the equation of a line given a slope and y-intercept?

Back

The equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

Write the equation with a slope of 2/3 and a y-intercept of -3.

Back

y = 2/3x - 3.

Front

What does it mean for two lines to be parallel?

Back

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

Front

Solve for x: 5x - 14 = 8x + 4.

Back

x = -6.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

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 equation y = mx + b.

Front

Evaluate f(x) = 3x + 7 for f(-2).

Back

f(-2) = -1.

Front

What is the difference between a linear equation and a quadratic equation?

Back

A linear equation has a degree of 1 and graphs as a straight line, while a quadratic equation has a degree of 2 and graphs as a parabola.