Alg 2 - 1st Semester Review 2024 Pt 1

Front

What is the vertex form of a parabola?

Back

The vertex form of a parabola is given by the equation y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you find the vertex of the parabola y = 2(x - 3)² + 4?

Back

The vertex is (3, 4). This is derived from the vertex form of the parabola.

Front

What does GCF stand for in algebra?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

How do you find the GCF of 10a²b³ and 20a²b²?

Back

The GCF is 10a²b², as it is the highest power of each variable that divides both terms.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

How do you solve the quadratic equation x² - 2x - 8 = 0?

Back

You can factor it to (x - 4)(x + 2) = 0, giving solutions x = 4 and x = -2.

Front

What is the significance of the coefficient 'a' in the quadratic equation y = ax² + bx + c?

Back

The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the solution to the system of equations y = 2x + 1 and y = 4x - 1?

Back

The solution is (1, 3), found by setting the equations equal to each other and solving for x.

Front

What is a parabola?

Back

A parabola is a symmetric curve formed by the intersection of a cone with a plane parallel to its side.

Front

What does it mean for two equations to be consistent?

Back

Two equations are consistent if they have at least one solution in common.