Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations simultaneously.

Front

How do you solve a system of equations using substitution?

Back

To solve a system of equations using substitution, solve one equation for one variable and substitute that expression into the other equation.

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation involves rewriting it as a product of two binomials, which can help find its roots.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

Front

What is a vertical stretch in transformations?

Back

A vertical stretch occurs when a function is multiplied by a factor greater than 1, making it taller without changing its x-intercepts.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction, denoted as |x|.

Front

How do you solve absolute value equations?

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To solve absolute value equations, set up two separate equations: one for the positive case and one for the negative case.

Front

What is the standard form of a complex number?

Back

The standard form of a complex number is a + bi, where a is the real part and b is the imaginary part.

Front

What is the result of multiplying two complex conjugates?

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The result of multiplying two complex conjugates (a + bi)(a - bi) is a² + b².

Front

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

Back

The discriminant (b² - 4ac) determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, two complex roots.