A1: Mid-Term

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What are natural numbers?

Back

Natural numbers are the set of positive integers starting from 1, 2, 3, and so on.

Front

What are whole numbers?

Back

Whole numbers are the set of non-negative integers, including zero: 0, 1, 2, 3, ...

Front

What are integers?

Back

Integers are the set of whole numbers that include negative numbers, zero, and positive numbers: ..., -3, -2, -1, 0, 1, 2, 3, ...

Front

What is the relationship between natural numbers and integers?

Back

All natural numbers are integers, but not all integers are natural numbers.

Front

How do you calculate the slope of a line given two points?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which the function equals zero, i.e., f(x) = 0.

Front

How do you solve the inequality -7 ≤ 4x + 1 < 5?

Back

To solve, isolate x: -7 - 1 ≤ 4x < 5 - 1, which simplifies to -8 ≤ 4x < 4, then divide by 4: -2 ≤ x < 1.

Front

Which number is not in the solution set of the inequality -7 ≤ 4x + 1 < 5?

Back

The number 1 is not in the solution set.