Algebra 1 Final Review

Front

What is the solution set in a system of equations?

Back

The solution set is the set of all points (x, y) that satisfy all equations in the system.

Front

What indicates exponential growth in a function?

Back

Exponential growth occurs when the base of the exponent is greater than one.

Front

How do you find the common ratio in a geometric sequence?

Back

The common ratio is found by dividing any term by the previous term in the sequence.

Front

Write an equation for a total cost scenario involving hourly rates and tips.

Back

The equation is of the form: Total Cost = Hourly Rate * Hours + Tip.

Front

What does the inequality −6 < 2t − 5 < 3 represent?

Back

It represents a range of values for t that satisfy both inequalities.

Front

How do you determine if a point is part of a solution set?

Back

Substitute the point's coordinates into the equation(s) and check if the equations hold true.

Front

What is the difference between linear and exponential functions?

Back

Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases or decreases multiplicatively.

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

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.