Algabra 1 Midterm Study

This is Benson's flashcards for studying for my Algabra 1 midterms for school

What is a whole number?

A whole number is a non-negative integer, including zero, that does not have any fractional or decimal part.

What is a Rational Number?

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

What is a irrational number?

An irrational number is a number that cannot be expressed as a simple fraction, meaning its decimal representation goes on forever without repeating.

What is an Integer?

An integer is a whole number that can be positive, negative, or zero, and does not include any fractional or decimal parts.

What are the two parts of an radical expression?

The two parts of a radical expression are the radicand, which is the number under the radical sign, and the index, which indicates the degree of the root being taken.

What is a radicand?

The radicand is the number or expression beneath the radical sign in a radical expression.

What is a index?

The index is the small number written outside and to the left of the radical sign that indicates the degree of the root being taken in a radical expression.

When do you add the exponents?

You add the exponents when multiplying two exponential expressions with the same base.

When do you subtract the exponents?

You subtract the exponents when dividing two exponential expressions with the same base.

When do you multiply the exponents?

You multiply the exponents when raising an exponential expression to a power. (To the power of 2, to the power of two)

What does (5^5) to the power of 5 equal?

625; distribute the power

What is the power of a quotiant property?

The power of a quotient property states that when raising a fraction to a power, you can apply the exponent to both the numerator and the denominator separately.

What is 5 to the power of 0?

5 to the power of 0 equals 1, as any non-zero number raised to the zero power is 1.

What do you do when the power is a fraction?

When the power is a fraction, you take the root of the base indicated by the denominator and raise it to the power indicated by the numerator. (Imagine the fraction is toppling over to the right)

What do you do when the power is a negative?

When the power is negative, you take the reciprocal of the base and then apply the positive exponent. This means you flip the fraction and raise it to the positive power.

How to you simplify algebraic radicals?

To simplify algebraic radicals, you factor the radicand into perfect squares and take the square root of those factors out of the radical. Any remaining factors stay inside the radical. divide the powers of the unknownsand simplify the expression accordingly.

What is accuracy?

Accuracy refers to how close a measured value is to the true value or the actual quantity being measured. In mathematics, it indicates the correctness of a calculation or result.

What is precision?

Precision refers to the consistency of repeated measurements or calculations, indicating how close the values are to each other, regardless of their proximity to the true value.

If a value is said to be 3, how varied can the actual measument be?

2.5<x>3

Significant digits

The digits that determine how precise to be in your answer to the equation… PAGE 22 WILL SAVE YOUR LIFE!!!!!

What are like terms?

Like terms are terms in an expression that are the same unkown letter, meaning you can combine them by adding or subtracting their coefficients.

What is standard form?

Ax + By = C

What is a 0?

the x-intercept