Algebra 1 Regents Review Practice Regents

What is the zero product property?

• If the product of two factors is zero, then at least one of the factors must be zero.

• The sum of two factors is always zero.

• The product of any two numbers is always positive.

• If one factor is zero, then the product is zero.

What is a system of equations?

• A single equation with multiple variables.

• A set of two or more equations with the same variables, which can be solved together to find a common solution.

• An equation that has no solution.

• A method to solve quadratic equations.

How do you solve a linear equation?

• Isolate the variable on one side of the equation using inverse operations.

• Add the same number to both sides of the equation.

• Multiply both sides by the same number.

• Graph the equation to find the solution.

What is a variable in algebra?

• A symbol, often a letter, that represents a number in mathematical expressions or equations.

• A fixed value that does not change in mathematical calculations.

• A type of equation that has no solution.

• A method for solving quadratic equations.

What is a quadratic equation?

• An equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

• An equation that can be expressed as a linear function of x.

• An equation that has no real solutions.

• An equation of the form ax² + bx + c = 1, where a, b, and c are constants.

What does it mean to simplify an expression?

• To reduce an expression to its simplest form by combining like terms and eliminating unnecessary parentheses.

• To make an expression longer and more complex.

• To change the variables in an expression to different letters.

• To evaluate the expression for a specific value.

Define an equation.

• A mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

• A formula used to calculate the area of a shape.

• A graphical representation of data points on a coordinate plane.

• A statement that describes a relationship between two quantities without using variables.

What is factoring in algebra?

• The process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

• A method of solving equations by finding the roots of a polynomial.

• The technique of simplifying an expression by removing common factors.

• A way to combine like terms in an algebraic expression.

What is the difference between an expression and an equation?

• An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.

• An expression is a statement that can be true or false, while an equation is a mathematical sentence that shows the relationship between two expressions.

• An expression always includes an equality sign, while an equation does not.

• An expression is a single number, while an equation is a complex mathematical statement.

What is the slope of a line?

• The measure of the steepness of a line, calculated as the rise over run (change in y over change in x).

• The distance between two points on the line.

• The angle formed by the line with the x-axis.

• The length of the line segment between two points.