SAT Math Flashcard — Algebra & Advanced Math

Front

What is the value of b in the expression (3x-23)(19x+6) when expressed as ax^2 + bx + c?

Back

b = -419.

Front

What are the y-coordinates of all points satisfying the inequalities y > 2x - 1 and 2x > 5?

Back

y > 4.

Front

In the system of equations y = \frac{1}{2}x + 8 and y = cx + 10, what value of c results in no solution?

Back

c = \frac{1}{2}.

Front

If the expression \frac{x^2 - c}{x - b} is equivalent to x + b, what could be the value of c?

Back

c could be 4.

Front

For the function f, if f(3x) = x - 6, what is the value of f(6)?

Back

f(6) = -4.

Front

What is the definition of a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax^2 + bx + c.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution when the lines represented by the equations are parallel.

Front

What is the process of factoring a quadratic expression?

Back

Factoring a quadratic expression involves rewriting it as a product of two binomials.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant determines the nature of the roots of the quadratic equation: if positive, two real roots; if zero, one real root; if negative, no real roots.