2024 Algebra B 1st Semester Final Review

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula: y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope (m) of a line through two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does it mean to factor an expression?

Back

Factoring an expression involves rewriting it as a product of its factors, which are simpler expressions that multiply together to give the original expression.

Front

Factor the expression: p^2 - 14p

Back

p(p - 14) is the factored form of the expression.

Front

What is the power of a product rule in exponents?

Back

The power of a product rule states that (ab)^n = a^n * b^n, meaning you can distribute the exponent to each factor.

Front

Simplify the expression: (2a^3b^4c^3)^2 * (4a^2bc^3)

Back

The simplified expression is 16a^8b^9c^9.

Front

What is the domain of a function?

Back

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

Front

Find the domain of the linear function: y = mx + b

Back

The domain of a linear function is typically all real numbers unless specified otherwise.

Front

What is the cube root of a number?

Back

The cube root of a number x is a value y such that y^3 = x. For example, ∛125 = 5 because 5^3 = 125.

Front

How do you simplify an expression with exponents?

Back

To simplify an expression with exponents, apply the laws of exponents, such as the product rule, quotient rule, and power rule.