Front

What is the slope in a linear relationship?

Back

The slope represents the rate of change between two variables. In the context of a pool draining, a negative slope indicates the amount of water being drained per hour.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate it on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.

Front

Given the function f(x) = -4x - 10, how do you find the x-value when f(x) = 10?

Back

Set -4x - 10 equal to 10 and solve for x: -4x - 10 = 10 leads to x = -5.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you find the area of a rectangle?

Back

The area of a rectangle is found by multiplying its length by its width: Area = length × width.

Front

What does it mean to simplify an algebraic expression?

Back

Simplifying an expression means to combine like terms and reduce it to its simplest form.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = (base × height) / 2.