Algebra 2 EOC Test

Front

What is the first step to solve the system of equations \(-7x-2y=-13\) and \(x-2y=11\) by substitution?

Back

Add 2y to both sides of equation 2.

Front

Identify the roots of the polynomial \(x=\{-3, 0, 1, 2\}\).

Back

The roots are \(x=\{-3, 0, 1, 2\}\).

Front

How many solutions does the system of equations have if they are consistent and dependent?

Back

Infinitely many solutions.

Front

According to the factor theorem, what does it mean if \(f(-2) = 0\)?

Back

It means that \((x + 2)\) is a factor.

Front

Which point lies on the line \(y=4x-7\)?

Back

The point \((-2, -15)\) lies on the line.

Front

What is the definition of a polynomial?

Back

A polynomial is an expression consisting of variables raised to whole number powers and coefficients.

Front

What is the degree of the polynomial \(2x^3 - 4x^2 + 3x - 5\)?

Back

The degree is 3.

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

The quadratic formula is \(x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}\).

Front

What does it mean for two equations to be inconsistent?

Back

It means that there is no solution to the system of equations.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed.