Algebra 1 Semester 1 Review

Front

What is the formula to find the total height of a building with n floors, each 3.9 meters high, plus an antenna of 15.85 meters?

Back

h(n) = 3.9n + 15.85

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

What does it mean for a function to have a domain of all real numbers greater than 7?

Back

The function is defined for all x-values greater than 7, not including 7 itself.

Front

What is an inequality?

Back

A mathematical statement that compares two expressions using symbols like >, <, ≥, or ≤.

Front

How do you solve the inequality 7x - 2y > 8?

Back

Rearrange to isolate y: 2y < 7x - 8, then divide by 2.

Front

What are natural numbers?

Back

The set of positive integers starting from 1: {1, 2, 3, ...}.

Front

What are whole numbers?

Back

The set of natural numbers including zero: {0, 1, 2, 3, ...}.

Front

What are integers?

Back

The set of whole numbers and their negative counterparts: {..., -3, -2, -1, 0, 1, 2, 3, ...}.

Front

What are rational numbers?

Back

Numbers that can be expressed as a fraction of two integers, where the denominator is not zero.

Front

Evaluate f(x) = x² for f(-8).

Back

64