Semester 1 review A2 Part 2

Front

What is the RANGE of the following graph?

Back

[0, ∞) - The range of a function is the set of all possible output values (y-values) it can produce.

Front

Use elimination or substitution to solve the systems: 2x + 3y = 6 and x - y = 4.

Back

(-4, 0, -2) - This is the solution to the system of equations.

Front

Factor: 2m² + 3m - 9

Back

(m + 3)(2m - 3) - Factoring involves breaking down an expression into simpler components.

Front

What is the solution to the system: 2x + 3y = 6 and 4x + 6y = 12?

Back

no solution - The lines represented by these equations are parallel.

Front

Use elimination or substitution to solve the systems: 3x + 2y = 12 and 6x + 4y = 24.

Back

(-2, -3, 3) - This is the solution to the system of equations.

Front

Define the term 'system of equations'.

Back

A system of equations is a set of two or more equations with the same variables.

Front

What does it mean for a system of equations to have 'infinitely many solutions'?

Back

It means that the equations represent the same line, and thus every point on the line is a solution.

Front

What is the definition of 'factoring' in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions.

Front

What is the difference between 'elimination' and 'substitution' methods in solving systems of equations?

Back

Elimination involves adding or subtracting equations to eliminate a variable, while substitution involves solving one equation for a variable and substituting that value into another equation.

Front

What is the meaning of 'RANGE' in a function?

Back

The range is the set of all possible output values (y-values) that a function can produce.