Algebra 1 Semester 1 Review

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 3x^2 + 2x - 5 is a polynomial.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients. For example, (3x^2 + 2x) + (4x^2 + 3) = (3+4)x^2 + 2x + 3 = 7x^2 + 2x + 3.

Front

What is the solution to the inequality 3(x - 2) < 2(x + 9)?

Back

x < 24.

Front

What defines a function in mathematics?

Back

A function is a relation where each input (x-value) is paired with exactly one output (y-value).

Front

How do you determine if a relation is a function?

Back

To determine if a relation is a function, check if any input is paired with more than one output. If it is, then it is not a function.

Front

What is the value of g(x) = 4x - 1 when g(x) = 19?

Back

x = 5.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of x into the function and simplify. For example, for f(x) = x^2 - 5x, f(4) = 4^2 - 5(4) = 16 - 20 = -4.

Front

What is the result of f(4) for the function f(x) = x^2 - 5x?

Back

f(4) = -4.

Front

What are like terms in polynomials?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in 4x^3 + 2x^2 - x, the degree is 3.